text:
Infinite Quotes (130 quotes)
...in an infinite universe, anything that could be imagined might somewhere exist.
La théorie des séries infinies en général est justquà présent très mal fondée. On applique aux séries infinies toutes les opérations, come si elles aient finies; mais cela est-il bien permis? Je crois que non. Où est-il démonstré qu/on ontient la différentielle dune série infinie en prenant la différentiaella de chaque terme. Rien nest plus facile que de donner des exemples où cela nest pas juste.
Until now the theory of infinite series in general has been very badly grounded. One applies all the operations to infinite series as if they were finite; but is that permissible? I think not. Where is it demonstrated that one obtains the differential of an infinite series by taking the differential of each term? Nothing is easier than to give instances where this is not so.
Until now the theory of infinite series in general has been very badly grounded. One applies all the operations to infinite series as if they were finite; but is that permissible? I think not. Where is it demonstrated that one obtains the differential of an infinite series by taking the differential of each term? Nothing is easier than to give instances where this is not so.
Quelquefois, par exemple, je me figure que je suis suspendu en lair, et que jy demeure sans mouvement, pendant que la Terre tourne sous moi en vingt-quatre heures. Je vois passer sous mes yeux tous ces visages différents, les uns blancs, les autres noirs, les autres basanés, les autres olivâtres. Dabord ce sont des chapeaux et puis des turbans, et puis des têtes chevelues, et puis des têtes rasées; tantôt des villes à clochers, tantôt des villes à longues aiguilles qui ont des croissants, tantôt des villes à tours de porcelaine, tantôt de grands pays qui nont que des cabanes; ici de vastes mers, là des déserts épouvantables; enfin, toute cette variété infinie qui est sur la surface de la Terre.
Sometimes, for instance, I imagine that I am suspended in the air, and remain there motionless, while the earth turns under me in four-and-twenty hours. I see pass beneath me all these different countenances, some white, others black, others tawny, others olive-colored. At first they wear hats, and then turbans, then heads with long hair, then heads shaven; sometimes towns with steeples, sometimes towns with long spires, which have crescents, sometimes towns with porcelain towers, sometimes extensive countries that have only huts; here wide seas; there frightful deserts; in short, all this infinite variety on the surface of the earth.
Sometimes, for instance, I imagine that I am suspended in the air, and remain there motionless, while the earth turns under me in four-and-twenty hours. I see pass beneath me all these different countenances, some white, others black, others tawny, others olive-colored. At first they wear hats, and then turbans, then heads with long hair, then heads shaven; sometimes towns with steeples, sometimes towns with long spires, which have crescents, sometimes towns with porcelain towers, sometimes extensive countries that have only huts; here wide seas; there frightful deserts; in short, all this infinite variety on the surface of the earth.
Surtout lastronomie et lanatomie sont les deux sciences qui nous offrent le plus sensiblement deux grands caractères du Créateur; lune, son immensité, par les distances, la grandeur, et le nombre des corps célestes; lautre, son intelligence infinie, par la méchanique des animaux.
Above all, astronomy and anatomy are the two sciences which present to our minds most significantly the two grand characteristics of the Creator; the one, His immensity, by the distances, size, and number of the heavenly bodies; the other, His infinite intelligence, by the mechanism of animate beings.
Above all, astronomy and anatomy are the two sciences which present to our minds most significantly the two grand characteristics of the Creator; the one, His immensity, by the distances, size, and number of the heavenly bodies; the other, His infinite intelligence, by the mechanism of animate beings.
Wilst du ins Unendliche schreiten, Geh nur im Endlichen nach allen Seiten.
If you want to reach the infinite, explore every aspect of the finite.
If you want to reach the infinite, explore every aspect of the finite.
A modern branch of mathematics, having achieved the art of dealing with the infinitely small, can now yield solutions in other more complex problems of motion, which used to appear insoluble. This modern branch of mathematics, unknown to the ancients, when dealing with problems of motion, admits the conception of the infinitely small, and so conforms to the chief condition of motion (absolute continuity) and thereby corrects the inevitable error which the human mind cannot avoid when dealing with separate elements of motion instead of examining continuous motion. In seeking the laws of historical movement just the same thing happens. The movement of humanity, arising as it does from innumerable human wills, is continuous. To understand the laws of this continuous movement is the aim of history. Only by taking an infinitesimally small unit for observation (the differential of history, that is, the individual tendencies of man) and attaining to the art of integrating them (that is, finding the sum of these infinitesimals) can we hope to arrive at the laws of history.
An example of such emergent phenomena is the origin of life from non-living chemical compounds in the oldest, lifeless oceans of the earth. Here, aided by the radiation energy received from the sun, countless chemical materials were synthesized and accumulated in such a way that they constituted, as it were, a primeval soup. In this primeval soup, by infinite variations of lifeless growth and decay of substances during some billions of years, the way of life was ultimately reached, with its metabolism characterized by selective assimilation and dissimilation as end stations of a sluiced and canalized flow of free chemical energy.
An undefined problem has an infinite number of solutions.
As science has supplanted its predecessors, so it may hereafter be superseded by some more perfect hypothesis, perhaps by some totally different way of looking at the phenomenaof registering the shadows on the screenof which we in this generation can form no idea. The advance of knowledge is an infinite progression towards a goal that for ever recedes.
Before a complex of sensations becomes a recollection placeable in time, it has ceased to be actual. We must lose our awareness of its infinite complexity, or it is still actual ... It is only after a memory has lost all life that it can be classed in time, just as only dissected flowers find their way into the herbarium of a botanist.
But who can say that the vapour engine has not a kind of consciousness? Where does consciousness begin, and where end? Who can draw the line? Who can draw any line? Is not everything interwoven with everything? Is not machinery linked with animal life in an infinite variety of ways?
Calculus required continuity, and continuity was supposed to require the infinitely little; but nobody could discover what the infinitely little might be.
Da Vinci was as great a mechanic and inventor as were Newton and his friends. Yet a glance at his notebooks shows us that what fascinated him about nature was its variety, its infinite adaptability, the fitness and the individuality of all its parts. By contrast what made astronomy a pleasure to Newton was its unity, its singleness, its model of a nature in which the diversified parts were mere disguises for the same blank atoms.
Does it not seem as if Algebra had attained to the dignity of a fine art, in which the workman has a free hand to develop his conceptions, as in a musical theme or a subject for a painting? It has reached a point where every properly developed algebraical composition, like a skillful landscape, is expected to suggest the notion of an infinite distance lying beyond the limits of the canvas.
Doubtless the reasoning faculty, the mind, is the leading and characteristic attribute of the human race. By the exercise of this, man arrives at the properties of the natural bodies. This is science, properly and emphatically so called. It is the science of pure mathematics; and in the high branches of this science lies the truly sublime of human acquisition. If any attainment deserves that epithet, it is the knowledge, which, from the mensuration of the minutest dust of the balance, proceeds on the rising scale of material bodies, everywhere weighing, everywhere measuring, everywhere detecting and explaining the laws of force and motion, penetrating into the secret principles which hold the universe of God together, and balancing worlds against worlds, and system against system. When we seek to accompany those who pursue studies at once so high, so vast, and so exact; when we arrive at the discoveries of Newton, which pour in day on the works of God, as if a second fiat had gone forth from his own mouth; when, further, we attempt to follow those who set out where Newton paused, making his goal their starting-place, and, proceeding with demonstration upon demonstration, and discovery upon discovery, bring new worlds and new systems of worlds within the limits of the known universe, failing to learn all only because all is infinite; however we may say of man, in admiration of his physical structure, that in form and moving he is express and admirable, it is here, and here without irreverence, we may exclaim, In apprehension how like a god! The study of the pure mathematics will of course not be extensively pursued in an institution, which, like this [Boston Mechanics Institute], has a direct practical tendency and aim. But it is still to be remembered, that pure mathematics lie at the foundation of mechanical philosophy, and that it is ignorance only which can speak or think of that sublime science as useless research or barren speculation.
Each thing in the world has names or unnamed relations to everything else. Relations are infinite in number and kind. To be is to be related. It is evident that the understanding of relations is a major concern of all men and women. Are relations a concern of mathematics? They are so much its concern that mathematics is sometimes defined to be the science of relations.
Euclid avoids it [the treatment of the infinite]; in modern mathematics it is systematically introduced, for only then is generality obtained.
Every situation, every momentis of infinite worth; for it is the representative of a whole eternity.
Experience is a jewel, and it need be so, for it is often purchased at an infinite rate.
Finally, from what we now know about the cosmos, to think that all this was created for just one species among the tens of millions of species who live on one planet circling one of a couple of hundred billion stars that are located in one galaxy among hundreds of billions of galaxies, all of which are in one universe among perhaps an infinite number of universes all nestled within a grand cosmic multiverse, is provincially insular and anthropocentrically blinkered. Which is more likely? That the universe was designed just for us, or that we see the universe as having been designed just for us?
From a mathematical standpoint it is possible to have infinite space. In a mathematical sense space is manifoldness, or combinations of numbers. Physical space is known as the 3-dimension system. There is the 4-dimension system, the 10-dimension system.
From the infinitely great down to the infinitely small, all things are subject to [the laws of nature]. The sun and the planets follow the laws discovered by Newton and Laplace, just as the atoms in their combinations follow the laws of chemistry, as living creatures follow the laws of biology. It is only the imperfections of the human mind which multiply the divisions of the sciences, separating astronomy from physics or chemistry, the natural sciences from the social sciences. In essence, science is one. It is none other than the truth.
From time immemorial, the infinite has stirred men's emotions more than any other question. Hardly any other idea has stimulated the mind so fruitfully. Yet, no other concept needs clarification more than it does.
Geology is part of that remarkable dynamic process of the human mind which is generally called science and to which man is driven by an inquisitive urge. By noticing relationships in the results of his observations, he attempts to order and to explain the infinite variety of phenomena that at first sight may appear to be chaotic. In the history of civilization this type of progressive scientist has been characterized by Prometheus stealing the heavenly fire, by Adam eating from the tree of knowledge, by the Faustian ache for wisdom.
Geometry may sometimes appear to take the lead of analysis, but in fact precedes it only as a servant goes before his master to clear the path and light him on his way. The interval between the two is as wide as between empiricism and science, as between the understanding and the reason, or as between the finite and the infinite.
God is infinite, so His universe must be too. Thus is the excellence of God magnified and the greatness of His kingdom made manifest; He is glorified not in one, but in countless suns; not in a single earth, a single world, but in a thousand thousand, I say in an infinity of worlds.
He that knows the secrets of nature with Albertus Magnus, or the motions of the heavens with Galileo, or the cosmography of the moon with Hevelius, or the body of man with Galen, or the nature of diseases with Hippocrates, or the harmonies in melody with Orpheus, or of poesy with Homer, or of grammar with Lilly, or of whatever else with the greatest artist; he is nothing if he knows them merely for talk or idle speculation, or transient and external use. But he that knows them for value, and knows them his own, shall profit infinitely.
Holding then to science with one handthe left handwe give the right hand to religion, and cry: Open Thou mine eyes, that I may behold wondrous things, more wondrous than the shining worlds can tell. Obedient to the promise, religion does awaken faculties within us, does teach our eyes to the beholding of more wonderful things. Those great worlds blazing like suns die like feeble stars in the glory of the morning, in the presence of this new light. The soul knows that an infinite sea of love is all about it, throbbing through it, everlasting arms of affection lift it, and it bathes itself in the clear consciousness of a Fathers love.
Homo sapiens is a compulsive communicator. Look at the number of people you see walking around talking on mobile phones. We seem to have an infinite capacity for communicating and being communicated with. Im not sure how admirable it is, but it certainly demonstrates that we are social organisms.
I also require much time to ponder over the matters themselves, and particularly the principles of mechanics (as the very words: force, time, space, motion indicate) can occupy one severely enough; likewise, in mathematics, the meaning of imaginary quantities, of the infinitesimally small and infinitely large and similar matters.
I am always humbled by the infinite ingenuity of the lord, who can make a red barn cast a blue shadow.
I do not think there should be a limit on the rig's liability, because they are sitting on top of unlimited amounts of oil, and thus, there could be an explosion occur that could do untold damage. ... The amount of damage that an offshore oil rig can do is infinite.
I dont know whether there is a finite set of basic laws of physics or whether there are infinite sets of structure like an infinite set of Chinese boxes. Will the electron turn out to have an interior structure? I wish I knew!
I have before mentioned mathematics, wherein algebra gives new helps and views to the understanding. If I propose these it is not to make every man a thorough mathematician or deep algebraist; but yet I think the study of them is of infinite use even to grown men; first by experimentally convincing them, that to make anyone reason well, it is not enough to have parts wherewith he is satisfied, and that serve him well enough in his ordinary course. A man in those studies will see, that however good he may think his understanding, yet in many things, and those very visible, it may fail him. This would take off that presumption that most men have of themselves in this part; and they would not be so apt to think their minds wanted no helps to enlarge them, that there could be nothing added to the acuteness and penetration of their understanding.
I have declared infinite worlds to exist beside this our earth. It would not be worthy of God to manifest Himself in less than an infinite universe.
I have no doubt that many small strikes of a hammer will finally have as much effect as one very heavy blow: I say as much in quantity, although they may be different in mode, but in my opinion, everything happens in nature in a mathematical way, and there is no quantity that is not divisible into an infinity of parts; and Force, Movement, Impact etc. are types of quantities.
I have written many direct and indirect arguments for the Copernican view, but until now I have not dared to publish them, alarmed by the fate of Copernicus himself, our master. He has won for himself undying fame in the eyes of a few, but he has been mocked and hooted at by an infinite multitude (for so large is the number of fools). I would dare to come forward publicly with my ideas if there were more people of your [Johannes Keplers] way of thinking. As this is not the case, I shall refrain.
I recognize nothing that is not material. In physics, chemistry and biology I see only mechanics. The Universe is nothing but an infinite and complex mechanism. Its complexity is so great that it borders on willfulness, suddenness, and randomness; it gives the illusion of free will possessed by conscious beings.
I was there when Abbe Georges Lemaître first proposed this [Big Bang] theory. ... There is no rational reason to doubt that the universe has existed indefinitely, for an infinite time. .... It is only myth that attempts to say how the universe came to be, either four thousand or twenty billion years ago.
[Expressing his belief that the Big Bang is a myth devised to explain creation. He said he heard Lemaître (who was, at the time both a member of the Catholic hierarchy and an accomplished scientist) say in private that this theory was a way to reconcile science with St. Thomas Aquinas' theological dictum of creatio ex nihilocreation out of nothing.]
[Expressing his belief that the Big Bang is a myth devised to explain creation. He said he heard Lemaître (who was, at the time both a member of the Catholic hierarchy and an accomplished scientist) say in private that this theory was a way to reconcile science with St. Thomas Aquinas' theological dictum of creatio ex nihilocreation out of nothing.]
If the doors of perception were cleansed, everything would appear as it is, infinite. For man has closed himself up, till he sees all things thro narrow chinks of his cavern.
If the world may be thought of as a certain definite quantity of force and as a certain definite number of centers of force—and every other representation remains indefinite and therefore useless—it follows that, in the great dice game of existence, it must pass through calculable number of combinations. In infinite time, every possible combination would at some time or another be realized; more: it would be realized an infinite number of times. And since between every combination and its next recurrence all other possible combinations would have to take place, and each of these combination conditions of the entire sequence of combinations in the same series, a circular movement of absolutely identical series is thus demonstrated: the world as a circular movement that has already repeated itself infinitely often and plays its game in infinitum. This conception is not simply a mechanistic conception; for if it were that, it would not condition an infinite recurrence of identical cases, but a final state. Because the world has not reached this, mechanistic theory must be considered an imperfect and merely provisional hypothesis.
If we knew all the laws of Nature, we should need only one fact or the description of one actual phenomenon to infer all the particular results at that point. Now we know only a few laws, and our result is vitiated, not, of course, by any confusion or irregularity in Nature, but by our ignorance of essential elements in the calculation. Our notions of law and harmony are commonly confined to those instances which we detect, but the harmony which results from a far greater number of seemingly conflicting, but really concurring, laws which we have not detected, is still more wonderful. The particular laws are as our points of view, as to the traveler, a mountain outline varies with every step, and it has an infinite number of profiles, though absolutely but one form. Even when cleft or bored through, it is not comprehended in its entireness.
In all works on Natural History, we constantly find details of the marvellous adaptation of animals to their food, their habits, and the localities in which they are found. But naturalists are now beginning to look beyond this, and to see that there must be some other principle regulating the infinitely varied forms of animal life. It must strike every one, that the numbers of birds and insects of different groups having scarcely any resemblance to each other, which yet feed on the same food and inhabit the same localities, cannot have been so differently constructed and adorned for that purpose alone. Thus the goat-suckers, the swallows, the tyrant fly-catchers, and the jacamars, all use the same kind Of food, and procure it in the same manner: they all capture insects on the wing, yet how entirely different is the structure and the whole appearance of these birds!
In Euclid each proposition stands by itself; its connection with others is never indicated; the leading ideas contained in its proof are not stated; general principles do not exist. In modern methods, on the other hand, the greatest importance is attached to the leading thoughts which pervade the whole; and general principles, which bring whole groups of theorems under one aspect, are given rather than separate propositions. The whole tendency is toward generalization. A straight line is considered as given in its entirety, extending both ways to infinity, while Euclid is very careful never to admit anything but finite quantities. The treatment of the infinite is in fact another fundamental difference between the two methods. Euclid avoids it, in modern mathematics it is systematically introduced, for only thus is generality obtained.
In the beginning there was an explosion. Not an explosion like those familiar on earth, starting from a definite center and spreading out to engulf more and more of the circumambient air, but an explosion which occurred simultaneously everywhere, filling all space from the beginning, with every particle of matter rushing apart from every other particle. All space in this context may mean either all of an infinite universe, or all of a finite universe which curves back on itself like the surface of a sphere. Neither possibility is easy to comprehend, but this will not get in our way; it matters hardly at all in the early universe whether space is finite or infinite. At about one-hundredth of a second, the earliest time about which we can speak with any confidence, the temperature of the universe was about a hundred thousand million (1011) degrees Centigrade. This is much hotter than in the center of even the hottest star, so hot, in fact, that none of the components of ordinary matter, molecules, or atoms, or even the nuclei of atoms, could have held together. Instead, the matter rushing apart in this explosion consisted of various types of the so-called elementary particles, which are the subject of modern highenergy nuclear physics.
In the presence of infinite might and infinite wisdom, the strength of the strongest man is but weakness, and the keenest of mortal eyes see but dimly.
In the social equation, the value of a single life is nil; in the cosmic equation, it is infinite Not only communism, but any political movement which implicitly relies on purely utilitarian ethics, must become a victim to the same fatal error. It is a fallacy as naïve as a mathematical teaser, and yet its consequences lead straight to Goyas Disasters, to the reign of the guillotine, the torture chambers of the Inquisition, or the cellars of the Lubianka.
Induction and analogy are the special characteristics of modern mathematics, in which theorems have given place to theories and no truth is regarded otherwise than as a link in an infinite chain. Omne exit in infinitum is their favorite motto and accepted axiom.
Infinite space cannot be conceived by anybody; finite but unbounded space is difficult to conceive but not impossible. [We] are using a conception of space which must have originated a million years ago and has become rather firmly imbedded in human thought. But the space of Physics ought not to be dominated by this creation of the dawning mind of an enterprising ape."
It goes so heavily with my disposition that this goodly frame, the earth, seems to me a sterile promontory. This most excellent canopy the air, look you, this brave o'erhanging, this majestic roof fretted with golden fire—why, it appears no other thing to me than a foul and pestilent congregation of vapours. What a piece of work is a man. How noble in reason, how infinite in faculty, in form and moving, how express and admirable, in action, how like an angel! in apprehension, how like a god—the beauty of the world, the paragon of animals! And yet to me, what is this quintessence of dust? Man delights not me—no, nor woman neither, though by your smiling you seem to say so.
It is astonishing how much the word infinitely is misused: everything is infinitely more beautiful, infinitely better, etc. The concept must have something pleasing about it, or its misuse could not have become so general.
It is going to be necessary that everything that happens in a finite volume of space and time would have to be analyzable with a finite number of logical operations. The present theory of physics is not that way, apparently. It allows space to go down into infinitesimal distances, wavelengths to get infinitely great, terms to be summed in infinite order, and so forth; and therefore, if this proposition [that physics is computer-simulatable] is right, physical law is wrong.
It is known that there are an infinite number of worlds, simply because there is an infinite amount of space for them to be in. However, not every one of them is inhabited. Therefore, there must be a finite number of inhabited worlds. Any finite number divided by infinity is as near to nothing as makes no odds, so the average population of all the planets in the Universe can be said to be zero. From this it follows that the population of the whole Universe is also zero, and that any people you may meet from time to time are merely the products of a deranged imagination.
It is no small comfort when I reflect that we should not so much marvel at the vast and almost infinite breadth of the most distant heavens but much more at the smallness of us manikins and the smallness of this our tiny ball of earth and also of all the planets.
It is no way derogatory to Newton, or Kepler, or Galileo, that Science in these days should have advanced far beyond them. Rather is this itself their crown of glory. Their works are still bearing fruit, and will continue to do so. The truths which they discovered are still living in our knowledge, pregnant with infinite consequences.
It turned out that the buckyball, the soccer ball, was something of a Rosetta stone of an infinite new class of molecules.
It was his [Leibnitzs] love of method and order, and the conviction that such order and harmony existed in the real world, and that our success in understanding it depended upon the degree and order which we could attain in our own thoughts, that originally was probably nothing more than a habit which by degrees grew into a formal rule. This habit was acquired by early occupation with legal and mathematical questions. We have seen how the theory of combinations and arrangements of elements had a special interest for him. We also saw how mathematical calculations served him as a type and model of clear and orderly reasoning, and how he tried to introduce method and system into logical discussions, by reducing to a small number of terms the multitude of compound notions he had to deal with. This tendency increased in strength, and even in those early years he elaborated the idea of a general arithmetic, with a universal language of symbols, or a characteristic which would be applicable to all reasoning processes, and reduce philosophical investigations to that simplicity and certainty which the use of algebraic symbols had introduced into mathematics.
A mental attitude such as this is always highly favorable for mathematical as well as for philosophical investigations. Wherever progress depends upon precision and clearness of thought, and wherever such can be gained by reducing a variety of investigations to a general method, by bringing a multitude of notions under a common term or symbol, it proves inestimable. It necessarily imports the special qualities of numberviz., their continuity, infinity and infinite divisibilitylike mathematical quantitiesand destroys the notion that irreconcilable contrasts exist in nature, or gaps which cannot be bridged over. Thus, in his letter to Arnaud, Leibnitz expresses it as his opinion that geometry, or the philosophy of space, forms a step to the philosophy of motioni.e., of corporeal thingsand the philosophy of motion a step to the philosophy of mind.
A mental attitude such as this is always highly favorable for mathematical as well as for philosophical investigations. Wherever progress depends upon precision and clearness of thought, and wherever such can be gained by reducing a variety of investigations to a general method, by bringing a multitude of notions under a common term or symbol, it proves inestimable. It necessarily imports the special qualities of numberviz., their continuity, infinity and infinite divisibilitylike mathematical quantitiesand destroys the notion that irreconcilable contrasts exist in nature, or gaps which cannot be bridged over. Thus, in his letter to Arnaud, Leibnitz expresses it as his opinion that geometry, or the philosophy of space, forms a step to the philosophy of motioni.e., of corporeal thingsand the philosophy of motion a step to the philosophy of mind.
It [mathematics] is in the inner world of pure thought, where all entia dwell, where is every type of order and manner of correlation and variety of relationship, it is in this infinite ensemble of eternal verities whence, if there be one cosmos or many of them, each derives its character and mode of being,it is there that the spirit of mathesis has its home and its life.
Is it a restricted home, a narrow life, static and cold and grey with logic, without artistic interest, devoid of emotion and mood and sentiment? That world, it is true, is not a world of solar light, not clad in the colours that liven and glorify the things of sense, but it is an illuminated world, and over it all and everywhere throughout are hues and tints transcending sense, painted there by radiant pencils of psychic light, the light in which it lies. It is a silent world, and, nevertheless, in respect to the highest principle of artthe interpenetration of content and form, the perfect fusion of mode and meaningit even surpasses music. In a sense, it is a static world, but so, too, are the worlds of the sculptor and the architect. The figures, however, which reason constructs and the mathematic vision beholds, transcend the temple and the statue, alike in simplicity and in intricacy, in delicacy and in grace, in symmetry and in poise. Not only are this home and this life thus rich in aesthetic interests, really controlled and sustained by motives of a sublimed and supersensuous art, but the religious aspiration, too, finds there, especially in the beautiful doctrine of invariants, the most perfect symbols of what it seeksthe changeless in the midst of change, abiding things hi a world of flux, configurations that remain the same despite the swirl and stress of countless hosts of curious transformations.
Is it a restricted home, a narrow life, static and cold and grey with logic, without artistic interest, devoid of emotion and mood and sentiment? That world, it is true, is not a world of solar light, not clad in the colours that liven and glorify the things of sense, but it is an illuminated world, and over it all and everywhere throughout are hues and tints transcending sense, painted there by radiant pencils of psychic light, the light in which it lies. It is a silent world, and, nevertheless, in respect to the highest principle of artthe interpenetration of content and form, the perfect fusion of mode and meaningit even surpasses music. In a sense, it is a static world, but so, too, are the worlds of the sculptor and the architect. The figures, however, which reason constructs and the mathematic vision beholds, transcend the temple and the statue, alike in simplicity and in intricacy, in delicacy and in grace, in symmetry and in poise. Not only are this home and this life thus rich in aesthetic interests, really controlled and sustained by motives of a sublimed and supersensuous art, but the religious aspiration, too, finds there, especially in the beautiful doctrine of invariants, the most perfect symbols of what it seeksthe changeless in the midst of change, abiding things hi a world of flux, configurations that remain the same despite the swirl and stress of countless hosts of curious transformations.
Mathematicians deal with possible worlds, with an infinite number of logically consistent systems. Observers explore the one particular world we inhabit. Between the two stands the theorist. He studies possible worlds but only those which are compatible with the information furnished by observers. In other words, theory attempts to segregate the minimum number of possible worlds which must include the actual world we inhabit. Then the observer, with new factual information, attempts to reduce the list further. And so it goes, observation and theory advancing together toward the common goal of science, knowledge of the structure and observation of the universe.
Mathematics is not a book confined within a cover and bound between brazen clasps, whose contents it needs only patience to ransack; it is not a mine, whose treasures may take long to reduce into possession, but which fill only a limited number of veins and lodes; it is not a soil, whose fertility can be exhausted by the yield of successive harvests; it is not a continent or an ocean, whose area can be mapped out and its contour defined: it is limitless as that space which it finds too narrow for its aspirations; its possibilities are as infinite as the worlds which are forever crowding in and multiplying upon the astronomers gaze; it is as incapable of being restricted within assigned boundaries or being reduced to definitions of permanent validity, as the consciousness of life, which seems to slumber in each monad, in every atom of matter, in each leaf and bud cell, and is forever ready to burst forth into new forms of vegetable and animal existence.
Matter, though divisible in an extreme degree, is nevertheless not infinitely divisible. That is, there must be some point beyond which we cannot go in the division of matter. ... I have chosen the word "atom" to signify these ultimate particles.
Men cannot be treated as units in operations of political arithmetic because they behave like the symbols for zero and the infinite, which dislocate all mathematical operations.
Most manufacturers take resources out of the ground and convert them to products that are designed to be thrown away or incinerated within months. We call these cradle to grave product flows. Our answer to that is cradle to cradle design. Everything is reusedeither returned to the soil as nontoxic biological nutrients that will biodegrade safely, or returned to industry as technical nutrients that can be infinitely recycled.
My father, the practicing physician, was a passionate collector of natural objects (amber, shells, minerals, beetles, etc.) and a great friend of the natural sciences. To my energetic and intellectually vigorous mother I owe an infinite debt.
Nature is painting for us, day after day, pictures of infinite beauty, if only we have the eyes to see them.
Nature is an infinite sphere of which the center is everywhere and the circumference nowhere.
One is constantly reminded of the infinite lavishness and fertility of Nature—inexhaustible abundance amid what seems enormous waste. And yet when we look into any of her operations that lie within reach of our minds, we learn that no particle of her material is wasted or worn out. It is eternally flowing from use to use, beauty to yet higher beauty; and we soon cease to lament waste and death, and rather rejoice and exult in the imperishable, unspendable wealth of the universe.
One-story intellects, two-story intellects, three-story intellects with skylights. All fact-collectors, who have no aim beyond their facts, are one-story men. Two-story men compare, reason, generalize, using the labors of the fact-collectors as well as their own. Three-story men idealize, imagine, predict; their best illumination comes from above, through the skylight. There are minds with large ground-floors, that can store an infinite amount of knowledge; some librarians, for instance, who know enough of books to help other people, without being able to make much other use of their knowledge, have intellects of this class. Your great working lawyer has two spacious stories; his mind is clear, because his mental floors are large, and he has room to arrange his thoughts so that lie can get at them,facts below, principles above, and all in ordered series; poets are often narrow below, incapable of clear statement, and with small power of consecutive reasoning, but full of light, if sometimes rather bare of furniture, in the attics.
Our ignorance is God; what we know is science. When we abandon the doctrine that some infinite being created matter and force, and enacted a code of laws for their government ... the real priest will then be, not the mouth-piece of some pretended deity, but the interpreter of nature.
Our knowledge can only be finite, while our ignorance must necessarily be infinite.
Our minds are finite, and yet even in these circumstances of finitude we are surrounded by possibilities that are infinite, and the purpose of human life is to grasp as much as we can out of the infinitude.
Perhaps there are somewhere in the infinite universe beings whose minds outrank our minds to the same extent as our minds surpass those of the insects. Perhaps there will once somewhere live beings who will look upon us with the same condescension as we look upon amoebae.
Personally I think there is no doubt that sub-atomic energy is available all around us, and that one day man will release and control its almost infinite power. We cannot prevent him from doing so and can only hope that he will not use it exclusively in blowing up his next door neighbour. (1936)
Science is Christian, not when it condemns itself to the letter of things, but when, in the infinitely little, it discovers as many mysteries and as much depth and power as in the infinitely great.
Science, which deals with the infinite, is itself without bounds.
Scientists and Drapers. Why should the botanist, geologist or other-ist give himself such airs over the drapers assistant? Is it because he names his plants or specimens with Latin names and divides them into genera and species, whereas the draper does not formulate his classifications, or at any rate only uses his mother tongue when he does? Yet how like the sub-divisions of textile life are to those of the animal and vegetable kingdoms! A few great familiescotton, linen, hempen, woollen, silk, mohair, alpacainto what an infinite variety of genera and species do not these great families subdivide themselves? And does it take less labour, with less intelligence, to master all these and to acquire familiarity with their various habits, habitats and prices than it does to master the details of any other great branch of science? I do not know. But when I think of Shoolbreds on the one hand and, say, the ornithological collections of the British Museum upon the other, I feel as though it would take me less trouble to master the second than the first.
Silently, one by one, in the infinite meadows of heaven,
Blossomed the lovely stars, the forget-me-nots of the angels.
Blossomed the lovely stars, the forget-me-nots of the angels.
So far as modern science is concerned, we have to abandon completely the idea that by going into the realm of the small we shall reach the ultimate foundations of the universe. I believe we can abandon this idea without any regret. The universe is infinite in all directions, not only above us in the large but also below us in the small. If we start from our human scale of existence and explore the content of the universe further and further, we finally arrive, both in the large and in the small, at misty distances where first our senses and then even our concepts fail us.
Such is the character of mathematics in its profounder depths and in its higher and remoter zones that it is well nigh impossible to convey to one who has not devoted years to its exploration a just impression of the scope and magnitude of the existing body of the science. An imagination formed by other disciplines and accustomed to the interests of another field may scarcely receive suddenly an apocalyptic vision of that infinite interior world. But how amazing and how edifying were such a revelation, if it only could be made.
The belief that mathematics, because it is abstract, because it is static and cold and gray, is detached from life, is a mistaken belief. Mathematics, even in its purest and most abstract estate, is not detached from life. It is just the ideal handling of the problems of life, as sculpture may idealize a human figure or as poetry or painting may idealize a figure or a scene. Mathematics is precisely the ideal handling of the problems of life, and the central ideas of the science, the great concepts about which its stately doctrines have been built up, are precisely the chief ideas with which life must always deal and which, as it tumbles and rolls about them through time and space, give it its interests and problems, and its order and rationality. That such is the case a few indications will suffice to show. The mathematical concepts of constant and variable are represented familiarly in life by the notions of fixedness and change. The concept of equation or that of an equational system, imposing restriction upon variability, is matched in life by the concept of natural and spiritual law, giving order to what were else chaotic change and providing partial freedom in lieu of none at all. What is known in mathematics under the name of limit is everywhere present in life in the guise of some ideal, some excellence high-dwelling among the rocks, an ever flying perfect as Emerson calls it, unto which we may approximate nearer and nearer, but which we can never quite attain, save in aspiration. The supreme concept of functionality finds its correlate in life in the all-pervasive sense of interdependence and mutual determination among the elements of the world. What is known in mathematics as transformationthat is, lawful transfer of attention, serving to match in orderly fashion the things of one system with those of anotheris conceived in life as a process of transmutation by which, in the flux of the world, the content of the present has come out of the past and in its turn, in ceasing to be, gives birth to its successor, as the boy is father to the man and as things, in general, become what they are not. The mathematical concept of invariance and that of infinitude, especially the imposing doctrines that explain their meanings and bear their namesWhat are they but mathematicizations of that which has ever been the chief of lifes hopes and dreams, of that which has ever been the object of its deepest passion and of its dominant enterprise, I mean the finding of the worth that abides, the finding of permanence in the midst of change, and the discovery of a presence, in what has seemed to be a finite world, of being that is infinite? It is needless further to multiply examples of a correlation that is so abounding and complete as indeed to suggest a doubt whether it be juster to view mathematics as the abstract idealization of life than to regard life as the concrete realization of mathematics.
The calculus is to mathematics no more than what experiment is to physics, and all the truths produced solely by the calculus can be treated as truths of experiment. The sciences must proceed to first causes, above all mathematics where one cannot assume, as in physics, principles that are unknown to us. For there is in mathematics, so to speak, only what we have placed there If, however, mathematics always has some essential obscurity that one cannot dissipate, it will lie, uniquely, I think, in the direction of the infinite; it is in that direction that mathematics touches on physics, on the innermost nature of bodies about which we know little .
The desire to fly after the fashion of the birds is an idea handed down to us by our ancestors who, in their grueling travels across trackless lands in prehistoric times, looked enviously on the birds soaring freely through space, at full speed, above all obstacles, on the infinite highway of the air.
The domain, over which the language of analysis extends its sway, is, indeed, relatively limited, but within this domain it so infinitely excels ordinary language that its attempt to follow the former must be given up after a few steps. The mathematician, who knows how to think in this marvelously condensed language, is as different from the mechanical computer as heaven from earth.
The eternal silence of these infinite spaces fills me with dread.
The existence of a first cause of the universe is a necessity of thought ... Amid the mysteries which become more mysterious the more they are thought about, there will remain the one absolute certainty that we are over in the presence of an Infinite, Eternal Energy from which all things proceed.
The eye, the window of the soul, is the chief means whereby the understanding can most fully and abundantly appreciate the infinite works of Nature; and the ear is second.
The future of humanity is uncertain, even in the most prosperous countries, and the quality of life deteriorates; and yet I believe that what is being discovered about the infinitely large and the infinitely small is sufficient to absolve this end of the century and millennium. What a very few are acquiring in knowledge of the physical world will perhaps cause this period not to be judged as a pure return to barbarism.
The great object of all knowledge is to enlarge and purify the soul, to fill the mind with noble contemplations, to furnish a refined pleasure, and to lead our feeble reason from the works of nature up to its great Author and Sustainer. Considering this as the ultimate end of science, no branch of it can surely claim precedence of Astronomy. No other science furnishes such a palpable embodiment of the abstractions which lie at the foundation of our intellectual system; the great ideas of time, and space, and extension, and magnitude, and number, and motion, and power. How grand the conception of the ages on ages required for several of the secular equations of the solar system; of distances from which the light of a fixed star would not reach us in twenty millions of years, of magnitudes compared with which the earth is but a foot-ball; of starry hostssuns like our ownnumberless as the sands on the shore; of worlds and systems shooting through the infinite spaces.
The great truths with which it [mathematics] deals, are clothed with austere grandeur, far above all purposes of immediate convenience or profit. It is in them that our limited understandings approach nearest to the conception of that absolute and infinite, towards which in most other things they aspire in vain. In the pure mathematics we contemplate absolute truths, which existed in the divine mind before the morning stars sang together, and which will continue to exist there, when the last of their radiant host shall have fallen from heaven. They existed not merely in metaphysical possibility, but in the actual contemplation of the supreme reason. The pen of inspiration, ranging all nature and life for imagery to set forth the Creators power and wisdom, finds them best symbolized in the skill of the surveyor. "He meted out heaven as with a span;" and an ancient sage, neither falsely nor irreverently, ventured to say, that God is a geometer.
The history of a species, or any natural phenomenon that requires unbroken continuity in a world of trouble, works like a batting streak. All are games of a gambler playing with a limited stake against a house with infinite resources. The gambler must eventually go bust. His aim can only be to stick around as long as possible, to have some fun while hes at it, and, if he happens to be a moral agent as well, to worry about staying the course with honor.
The infinite variations in the ways creatures fulfill the same requirementto fuel energy needsconstantly astound me. Booby birds and pelicans actually performed underwater dives, descending some twenty feet below the surface and then flapping their wings to fly through water. Totally encrusted with tiny diamond bubbleslike the jeweled nightingales of Asian emperorsthey soared around below for nearly half a minute.
The infinite! No other question has ever moved so profoundly the spirit of man; no other idea has so fruitfully stimulated his intellect; yet no other concept stands in greater need of clarification than that of the infinite.
The investigation of nature is an infinite pasture-ground where all may graze, and where the more bite, the longer the grass grows, the sweeter is its flavor, and the more it nourishes.
The known is finite, the unknown infinite; spiritually we find ourselves on a tiny island in the middle of a boundless ocean of the inexplicable. It is our task, from generation to generation, to drain a small amount of additional land.
The last proceeding of reason is to recognize that there an infinity of things which are beyond it.
The mind of man may be compared to a musical instrument with a certain range of notes, beyond which in both directions we have an infinitude of silence. The phenomena of matter and force lie within our intellectual range, and as far as they reach we will at all hazards push our inquiries. But behind, and above, and around all, the real mystery of this universe [Who made it all?] lies unsolved, and, as far as we are concerned, is incapable of solution.
The more man inquires into the laws which regulate the material universe, the more he is convinced that all its varied forms arise from the action of a few simple principles. These principles themselves converge, with accelerating force, towards some still more comprehensive law to which all matter seems to be submitted. Simple as that law may possibly be, it must be remembered that it is only one amongst an infinite number of simple laws: that each of these laws has consequences at least as extensive as the existing one, and therefore that the Creator who selected the present law must have foreseen the consequences of all other laws.
The more we study Art, the less we care for Nature. What Art really reveals to us is Natures lack of design, her curious crudities, her extraordinary monotony, her absolutely unfinished condition. It is fortunate for us, however, that Nature is so imperfect, as otherwise we should have had no art at all. Art is our spirited protest, our gallant attempt to teach Nature her proper place. As for the infinite variety of Nature, that is a pure myth. It is not to be found in Nature herself. It resides in the imagination, or fancy, or cultivated blindness of the man who looks at her.
The number of rational hypotheses that can explain any given phenomenon is infinite.
The object of geometry in all its measuring and computing, is to ascertain with exactness the plan of the great Geometer, to penetrate the veil of material forms, and disclose the thoughts which lie beneath them? When our researches are successful, and when a generous and heaven-eyed inspiration has elevated us above humanity, and raised us triumphantly into the very presence, as it were, of the divine intellect, how instantly and entirely are human pride and vanity repressed, and, by a single glance at the glories of the infinite mind, are we humbled to the dust.
The problems of the infinite have challenged mans mind and have fired his imagination as no other single problem in the history of thought. The infinite appears both strange and familiar, at times beyond our grasp, at times easy and natural to understand. In conquering it, man broke the fetters that bound him to earth. All his faculties were required for this conquesthis reasoning powers, his poetic fancy, his desire to know.
The progress of mathematics can be viewed as progress from the infinite to the finite.
The responsibility for maintaining the composition of the blood in respect to other constituents devolves largely upon the kidneys. It is no exaggeration to say that the composition of the blood is determined not by what the mouth ingests but by what the kidneys keep; they are the master chemists of our internal environment, which, so to speak, they synthesize in reverse. When, among other duties, they excrete the ashes of our body fires, or remove from the blood the infinite variety of foreign substances which are constantly being absorbed from our indiscriminate gastrointestinal tracts, these excretory operations are incidental to the major task of keeping our internal environment in an ideal, balanced state. Our glands, our muscles, our bones, our tendons, even our brains, are called upon to do only one kind of physiological work, while our kidneys are called upon to perform an innumerable variety of operations. Bones can break, muscles can atrophy, glands can loaf, even the brain can go to sleep, without immediately endangering our survival, but when the kidneys fail to manufacture the proper kind of blood neither bone, muscle, gland nor brain can carry on.
The solution of the difficulties which formerly surrounded the mathematical infinite is probably the greatest achievement of which our age has to boast.
The sun and the moon and the stars would have disappeared long agoas even their infinitely more numerous analogues on the earth beneath are likely to disappearhad they happened to be within the reach of predatory human hands.
The universe is then one, infinite, immobile. ... It is not capable of comprehension and therefore is endless and limitless, and to that extent infinite and indeterminable, and consequently immobile.
The useless search of philosophers for a cause of the universe is a regressus in infinitum (a stepping backwards into the infinite) and resembles climbing up an endless ladder, the recurring question as to the cause of the cause rendering the attainment of a final goal impossible.
The world of ideas which it [mathematics] discloses or illuminates, the contemplation of divine beauty and order which it induces, the harmonious connexion of its parts, the infinite hierarchy and absolute evidence of the truths with which it is concerned, these, and such like, are the surest grounds of the title of mathematics to human regard, and would remain unimpeached and unimpaired were the plan of the universe unrolled like a map at our feet, and the mind of man qualified to take in the whole scheme of creation at a glance.
There are infinite possibilities of error, and more cranks take up fashionable untruths than unfashionable truths.
There is another ground of hope that must not be omitted. Let men but think over their infinite expenditure of understanding, time, and means on matters and pursuits of far less use and value; whereof, if but a small part were directed to sound and solid studies, there is no difficulty that might not be overcome.
There is symbolic as well as actual beauty in the migration of the birds, the ebb and flow of the tides, the folded bud ready for the spring. There is something infinitely healing in the repeated refrains of naturethe assurance that dawn comes after night, and spring after the winter.
This relation logical implication is probably the most rigorous and powerful of all the intellectual enterprises of man. From a properly selected set of the vast number of prepositional functions a set can be selected from which an infinitude of prepositional functions can be implied. In this sense all postulational thinking is mathematics. It can be shown that doctrines in the sciences, natural and social, in history, in jurisprudence and in ethics are constructed on the postulational thinking scheme and to that extent are mathematical. Together the proper enterprise of Science and the enterprise of Mathematics embrace the whole knowledge-seeking activity of mankind, whereby knowledge is meant the kind of knowledge that admits of being made articulate in the form of propositions.
Time, which measures everything in our idea, and is often deficient to our schemes, is to nature endless and as nothing; it cannot limit that by which alone it had existence; and as the natural course of time, which to us seems infinite, cannot be bounded by any operation that may have an end, the progress of things upon this globe, that is, the course of nature, cannot be limited by time, which must proceed in a continual succession.
To sum up all, let it be known that science and religion are two identical words. The learned do not suspect this, no more do the religious. These two words express the two sides of the same fact, which is the infinite. Religion—Science, this is the future of the human mind.
Tolstoi explains somewhere in his writings why, in his opinion, Science for Science's sake is an absurd conception. We cannot know all the facts since they are infinite in number. We must make a selection ... guided by utility ... Have we not some better occupation than counting the number of lady-birds in existence on this planet?
Two things are infinite: the universe and human stupidity; and Im not sure about the universe.
Ultra-modern physicists [are tempted to believe] that Nature in all her infinite variety needs nothing but mathematical clothing [and are] strangely reluctant to contemplate Nature unclad. Clothing she must have. At the least she must wear a matrix, with here and there a tensor to hold the queer garment together.
We boast that we are mastering the secrets of Nature, but Nature has no secrets. We only tear off one by one the infinite peels of our ignorance.
We come no nearer the infinitude of the creative power of God, if we enclose the space of its revelation within a sphere described with the radius of the Milky Way, than if we were to limit it to a ball an inch in diameter. All that is finite, whatever has limits and a definite relation to unity, is equally far removed from the infinite... Eternity is not sufficient to embrace the manifestations of the Supreme Being, if it is not combined with the infinitude of space.
We had the full backing of our government, combined with the nearly infinite potential of American science, engineering and industry, and an almost unlimited supply of people endowed with ingenuity and determination.
We live on an obscure hunk of rock and metal circling a humdrum sun, which is on the outskirts of a perfectly ordinary galaxy comprised of 400 billion other suns, which, in turn, is one of some hundred billion galaxies that make up the universe, which, current thinking suggests, is one of a huge numberperhaps an infinite numberof other closed-off universes. From that perspective, the idea that were at the center, that we have some cosmic importance, is ludicrous.
What is art
But life upon the larger scale, the higher,
When, graduating up in a spiral line
Of still expanding and ascending gyres,
It pushed toward the intense significance
Of all things, hungry for the Infinite?
But life upon the larger scale, the higher,
When, graduating up in a spiral line
Of still expanding and ascending gyres,
It pushed toward the intense significance
Of all things, hungry for the Infinite?
What is man in nature? A Nothing in comparison with the Infinite, an All in comparison with the Nothing, a mean between nothing and everything.
What is the shape of space? Is it flat, or is it bent? Is it nicely laid out, or is it warped and shrunken? Is it finite, or is it infinite? Which of the following does space resemble more: (a) a sheet of paper, (b) an endless desert, (c) a soap bubble, (d) a doughnut, (e) an Escher drawing, (f) an ice cream cone, (g) the branches of a tree, or (h) a human body?
Whatever answers faith gives.. .such answers always give an infinite meaning to the finite existence of man; a meaning that is not destroyed by suffering, deprivation or death. This means only in faith can we find the meaning and possibility of life.
When we contemplate the whole globe as one great dewdrop, striped and dotted with continents and islands, flying through space with other stars all singing and shining together as one, the whole universe appears as an infinite storm of beauty.
Women have absolutely no sense of art, though they may have of poetry. They have no natural disposition for the sciences, though they may have for philosophy. They are by no means wanting in power of speculation and intuitive perception of the infinite; they lack only power of abstraction, which is far more easy to be learned.
just as the astronomer, the physicist, the geologist, or other student of objective science looks about in the world of sense, so, not metaphorically speaking but literally, the mind of the mathematician goes forth in the universe of logic in quest of the things that are there; exploring the heights and depths for factsideas, classes, relationships, implications, and the rest; observing the minute and elusive with the powerful microscope of his Infinitesimal Analysis; observing the elusive and vast with the limitless telescope of his Calculus of the Infinite; making guesses regarding the order and internal harmony of the data observed and collocated; testing the hypotheses, not merely by the complete induction peculiar to mathematics, but, like his colleagues of the outer world, resorting also to experimental tests and incomplete induction; frequently finding it necessary, in view of unforeseen disclosures, to abandon one hopeful hypothesis or to transform it by retrenchment or by enlargement:thus, in his own domain, matching, point for point, the processes, methods and experience familiar to the devotee of natural science.
what is man in the midst of nature? A nothing in comparison with the infinite, an all in comparison with nothingness: a mean between nothing and all. Infinitely far from comprehending the extremes, the end of things and their principle are for him inevitably concealed in an impenetrable secret; equally incapable of seeing the nothingness whence he is derived, and the infinity in which he is swallowed up.
Science studies everything, say the scientists. But, really, everything is too much. Everything is an infinite quantity of objects; it is impossible at one and the same time to study all. As a lantern cannot light up everything, but only lights up the place on which it is turned or the direction in which the man carrying it is walking, so also science cannot study everything, but inevitably only studies that to which its attention is directed. And as a lantern lights up most strongly the place nearest to it, and less and less strongly objects that are more and more remote from it, and does not at all light up those things its light does not reach, so also human science, of whatever kind, has always studied and still studies most carefully what seems most important to the investigators, less carefully what seems to them less important, and quite neglects the whole remaining infinite quantity of objects. ... But men of science to-day ... have formed for themselves a theory of science for science's sake, according to which science is to study not what mankind needs, but everything.


text:
Hey, my name is Brooks Gatewood. I am the man behind the lens of BE Videography. I grew up with a camera in my hands collecting memories of friends and family. Anything and everything from vacations, sports, pranks, to even trying to re-create fear factor challenges in my pre-teen years. Growing up, one of my favorite things to do was creating what we called "edits" from an entire season of either skating or skiing. My sport was skating and skiing and my art was filming and editing. My friends and I would capture days upon days of clips and at the end of the season, compile it down to a short video showing off the best shots and tricks.
Fast forward to the summer of 2015. I took that passion and skill set into the wedding world. The mix of my love for videography, editing cinematic films and helping collect memories in the unique way of storytelling through video paved the way to what is now BE Videography.
About the Website
As I take video and not pictures, I'm fortunate to have worked with some awesome photographers who have allowed me to use some of their work to help create this website. All Photos on this website that are from photographers I've worked with are credited below.
Home Page Photo: Robert Ruthke Photography
About Page Photo: Photos By Kintz

subset: commoncrawl


text:
I don't think I've ever dared to write down what I see in the ruins of me, or tell in any detail the scars & all their secrets. The parts of me that hurt the worst want me to write something for them, but I can't. I don't know what to say.
I'm lost in all this sadness, & so are they.
"Never trust a survivor," my father used to warn me, "until you find out what he did to stay alive."
– Kurt Vonnegut, Bluebeard
© AleCat 2017


text:
A blog for busy corporate executives wanting to improve the leadership culture of their organization.
They're the secret sauce for a successful organization—high potential employees. They drive your company's success and inspire other team members to elevate performance. But if you don't train them differently, you'll lose them.
It costs a lot to replace a good employee—some estimates put the cost at equal to or greater than the annual salary of the employee. Yet more than ever, employees want growth opportunities and paths for personal development to stay at a company. By helping good employees become great leaders, you not only position your company for success, you increase employee retention in the process.
Subscribe and get our free Whitepaper "Culture Vs. Vision: How They Can Work Together"Subscribe Now
The difference between retaining your company's good employees and losing them to the competition can be as simple as the difference between equipping them to do a good job and developing them into great leaders. When you equip people, you teach them how to do a job. Development is different. When you develop people, your managers help them improve as individuals.
It costs your company from one to three times a good employee's salary to replace him or her. The time and effort required to replace these employees can be devastating to a company, not to mention the loss of production in their absence. Your company can do something about it. One of the most effective ways to avoid losing good employees is to use "stay interviews."
- Attitude
- Change
- Communication
- Culture
- Developing Leaders
- Equipping
- Leadership
- Professional Growth
- Productivity
- Relationships
- Self-Awareness
- Self-Leadership
- Success
- Teamwork
- Employee Engagement
- Conflict
- Virtual Teams
- Trends
- Innovation
- Empowering
- Overcoming Mistakes
- Executive Blog
- Diversity
- Retention
- Mentoring
- Creativity
- Trust
- C-suite sponsorship
- Executive Sponsorship
- News
- Coaching


text:
Red Hat Bugzilla – Bug 134175
Gnumeric .desktop file contains invalid mime-type
Last modified: 2007-11-30 17:10:50 EST
From Bugzilla Helper:
User-Agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.7.3)
Description of problem:
Please note: the component is not correct - I did not find the correct
component and as it is related, I just put it in here.
The file /usr/share/applications/gnome-gnumeric.desktop contains an
invalid mime-type:
-> here is the missing application/ classifier
Version-Release number of selected component (if applicable):
How reproducible:
Didn't try
Actual Results:
When performing an update via up2date, debugging information shows
that the update script cannot parse the said .desktop file due to
missing application/ mime-type classifier.
Additional info:
I have the latest and it seems to contain this error.
[clarkbw@rhbw ~]$ rpm -qv gnumeric
However I checked out the CVS version [1] which appears to be fixed.
We just need to update to the latest upstream.
*** Bug 134199 has been marked as a duplicate of this bug. ***
*** Bug 134205 has been marked as a duplicate of this bug. ***
The same bare entry exists in that upstream devel gnumeric.desktop.in
as well so that's not a suitable replacement. I'll remove the
offending odd looking MimeType and respin...
The desktop patch (gnumeric-1.2.13-desktop.patch) in the srpm is
wrong. Please add "application/" before "x-dos_ms_excel" in the patch.
The same mimetype is also present in gnumeric.keys.in, but the desktop
patch removes its use, so...
should be ok with gnumeric 1.2.13 >= -4


text:
Department of Homeland Security Undergraduate Scholarship Program
The DHS Scholarship and Fellowship Program is intended for students interested in pursuing the basic science and technology innovations that can be applied to the DHS mission.
Areas of study that are eligible include: physical sciences, mathematical sciences, computer and information sciences, life sciences, social sciences, psychology, selected humanities, and engineering. Applicants must be in their second year of college.


text: Little experiment !!! One of my french site gatting 250 hits per days (mostly from google search) is making $1 per day with Adsense consistently, just now I have implemented Blam Ads content lock gateway on to the site and removed Adsense. Basically I wanted to know if blam ads can able to make something around $1.50 or $2, I will wait for 24 hrs to take final decision.


text:
- Trending Now: More Trending:
- hogwash probity sequacious inadmissible oligarch, pejorative
Recent Examples of bioflavonoid from the Web
The bioflavonoids relieve puffiness and dark circles, and sea kelp & algae extract minimize fine lines.
These example sentences are selected automatically from various online news sources to reflect current usage of the word 'bioflavonoid.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.
First Known Use of bioflavonoid
in the meaning defined aboveSee Words from the same year
Medical Dictionary
medical Definition of bioflavonoid
- Oranges, lemons, limes, grapefruit—all citrus fruits are concentrated sources of the antioxidant vitamin C. They also contain other compounds, folate and bioflavonoids, which have an excellent research track record for helping ward off cancer …
- —David Feder, Better Homes and Gardens, June 1998
- A tea made from buckwheat, high in the bioflavonoid rutin, has been shown to alleviate symptoms.
- —Anna Soref, Yoga Journal, January/February 2000
Learn More about bioflavonoid
Seen and Heard
What made you want to look up bioflavonoid? Please tell us where you read or heard it (including the quote, if possible).


text:
Sponsored By: ClosetMaid
Hosted By: Everything Mommyhood
Thank you to our wonderful Co-Hosts for helping us out with this great giveaway: Magical Mouse Schoolhouse, My Four Littles, Tunica Mama, and Recreate and Decorate.
Everything Mommyhood has teamed up with ClosetMaid and a great group of bloggers to offer you this opportunity. ClosetMaid has been around for over 45 years helping people get organized in their homes. They are the worldwide leader in home storage and organization. Their products are sold at retailers across the nation including Target, Home Depot, Walmart, Lowes, Amazon and more! Check out Everything Mommyhood's ClosetMaid Review.
I really enjoy closet maid myself so wanted all my readers to have a chance to win this great prize. I know I could really use one of these myself! I enjoy not only posting my own giveaways and info but also helping out fellow bloggers and sharing some of their awesome events with all of you all!
ClosetMaid is offering ONE lucky winner a chance to win a 9 Cube Organizer in Dark Cherry w/4 storage bins! All you have to do is enter on the Giveaway Tools entry form below. Giveaway begins 5/29/2013 at 12am EST and will end 6/16/2013 at 11:59pm EST. US Residents only, void where prohibited 18 and up All winning entries WILL be verified
Disclosure: This giveaway is not associated with, affiliated with, endorsed by, sponsored by, or connected to Facebook, Twitter, Pinterest, or any other social media platform in any way. Social media outlets are in no way responsible for sponsor prize fulfillment. The sponsor alone is responsible for fulfilling the aforementioned prize. This blog did not receive compensation for posting this giveaway. Your information will not be shared with anyone without your explicit consent. This giveaway event is hosted by Darci at Everything Mommyhood, please contact her with any questions at email@example.com.
It's actually a fantastic in addition to helpful part of information and facts. I will be pleased that you simply distributed this useful details around. Remember to continue to be united states educated similar to this. Thanks for discussing.


text:
Surviving and thriving with lung cancer
Posted: 21
February 2017
Kelly White, Senior Communications Officer
When Alistair Lawrie was diagnosed with lung cancer he feared the worst. But now, over 12 years on, he is enjoying life more than ever and is a man determined to do what he can to raise awareness of lung cancer and to support others going through a similar situation.
Alistair, 72, from Hemel Hempstead said: "When I was first diagnosed with cancer I didn't get any support for weeks, either from the hospital or my GP, and with the low survival rates at the time I became clinically depressed.
"Halfway through my treatment and with my depression getting worse my wife, Eileen, came running into the room with a force like an earthquake shouting, 'I can't do it on my own'. That was really the big push that I needed. So I got up, had a shower and a shave and my recovery started from that point. I was even back working part time after a few weeks.
"A few years after my diagnosis I was invited by the hospital to a lung cancer support group and had the chance to meet others who had similar conditions."
The Garston lung cancer and mesothelioma support group, which was founded by a nurse from West Hertfordshire Hospitals NHS Trust, meets on the first Tuesday of every month and is open to anyone affected by lung cancer or the asbestos-related cancer mesothelioma. The group supports about 60 patients, relatives, friends and carers, offering people the chance to swap stories and support each other.
The group is run with support from cancer nurse specialists from West Hertfordshire Hospitals NHS Trust and volunteers from the Macmillan cancer information centre based at Watford Hospital. Over the seven years since they started the group they have organised a wide range of guest speakers and topics including oncologists (specialist cancer doctors), physiotherapists, solicitors for help and advice on making wills, healthy walking, nutrition and lifestyles, holidays and beauty.
Alistair says: "I am so pleased that the Trust set up this group, it changed my total outlook on my situation, especially at the first meeting when I met someone who had survived the condition for 19 years. One of the great things about the group is we can all be totally honest with each other; we welcome new people and try to help them come to terms with their condition. It's great to see them walk away with open expectations and hope for their future. I find that hope can be life changing not only for the person with the condition but for their partners and families as well.
"I have seen a huge improvement in cancer services since my diagnosis, and have helped the hospital by being involved in consumer feedback groups to make further improvements to the services provided. The cancer nurse specialists (CNS) are exceptional; they really are an amazing team. They always go above and beyond their clinical duties. The team make themselves available at any time. The Trust should be proud of the service it now offers its cancer patients compared to when I was first diagnosed. This initiative is extremely effective for patients, and at a minimal cost to the Trust. This is the NHS at its best; I don't think it could perform any better.
"I would say to anyone diagnosed with lung cancer to try to stay positive and always hope for the future. There is always someone out there going through a similar situation who would be willing to talk to you.
"I have learned to live with cancer, there is no reason to stop living my life and I hope others find courage and optimism from reading my story."
The Macmillan Lung Cancer CNS team can be contacted on telephone: 01923 217010.
For more information about our hospitals, visit www.westhertshospitals.nhs.uk. You can also join our near 5,324 followers on Twitter (twitter.com/westhertsNHS) or find us on Facebook (facebook.com/westhertsNHS).
- For more information, please contact Kelly White, Senior Communications Officer in the Trust's communications department on telephone: 01923 436 281 or email: email@example.com. Out of hours, please call 07900 228 031.
- West Hertfordshire Hospitals NHS Trust is a large acute trust serving people from across Hertfordshire, north London and further afield. It operates from three sites at Watford, St Albans and Hemel Hempstead hospitals and sees about 600,000 patients a year. We are one of the largest employers locally, with around 4,500 staff and volunteers.


text:
Conventional Oil Production Snapshot
Amidst the spectacular collapse in oil prices and all the talk about the oil glut, from Peak Oil Barrel here's a snapshot of latest OPEC oil production, the producing nations with the majority of the cheap-to-produce conventional oil.
OPEC-12: the 12-member organization consists of Saudi Arabia, Kuwait, Iran, United Arab Emirates (UAE), Venezuela, Iraq, Qatar, Libya, Algeria, Nigeria, Ecuador and Angola.
Together, OPEC accounts for about 43% of the world's oil production, or about 30 million barrels per day (bpd).
Key observations
- OPEC production peaked in 2008 and subsequently 2012, and only four countries, namely Saudi Arabia, Iraq, Kuwait and UAE had managed to hold their own and struggled to increase production since.
- The other eight members, combined, peaked in 2005 and have declined by about 3 million bpd since.
- The above happened during the period when oil prices were consistently north of $100 a barrel prior to the price collapse in late 2014. So it is safe to assume that any production decline during that time was not price driven.
Note: the data is crude only and does not include crude condensate or other liquids as are commonly reported nowadays (check here to see the definitions of different oil components and why it is important to separate oil and condensate from other liquids).
All graphs courtesy of same Peak Oil Barrel article.
Overall production from all 12 members. Notice the twin peaks in 2008 and 2012.
Only four out of the 12, namely, Saudi Arabia, Iraq, Kuwait and UAE, managed to hold their own and grow production,
while …. the remaining eight saw production decline.
Looking closer at some of the key individual nations…
Saudi Arabia (~10.6 million bpd) – First King Saudi… contrary to the finger pointing from the West, the Saudis have not increased production; they just have not scaled back production like they did in the past in light of soft world demand and an increase in US tight oil production.
Iraq (~3.6 million bpd) – the only truly bright spot out there.
UAE (~2.8 million bpd) – about 150 thousand bpd higher than their 2008 peak.
Kuwait (~2.7 million bpd) – still above their 2008 peak but is clearly trending down.
Iran (~2.7 million bpd) – still struggling under Western sanctions.
Venezuela (~2.3 million bpd) – this oil rich country can't seem to get its act together, and now the oil sector and its entire economy as a whole is facing imminent collapse.
Nigeria (1.9 million bpd) – continues to be plagued by political problems.
Qtar (~0.7 million bpd) – 200,000 bpd below its 2008, in what looks like a terminal decline.
Libya (0.5 million bpd) – saw its production on a wild ride as a result of the ongoing civil war.
The takeaway: beneath the surface of the 'oil glut' and price slump, conventional oil is steady and onwards along its path of depletion, while tar sands, tight oil and other expensive non-conventional oils are crimped by market prices far below their breakeven production prices.
Therefore, the price of oil, beyond the short/intermediate term when it is subject to wild swings and overshoots to the downside due to geopolitical reasons, and barring a severe global economic downturn which is a distinct possibility at this point, cannot stay down at the current level for long. The supply side fundamentals will eventually re-assert itself in a forceful manner.
Peak oil
This article is part of the Peak oil in-depth topic. Get a crash course and read the latest developments on this topic.GO


text:
Darren Quek aka "Coach Darren"
- Darren has accumulated more than 9000 hours in enrichment programs for various educational establishments, ranging from the Singapore American School, private pre-schools, student care centres, and local community clubs (focusing mainly on children's physical and mental development).
- He spent two years (2013-2014) as Head of Fiitercise (Sports and Physical Development) Division at Nurture Education Group, where he led a total of 70 coaches in providing the Fiitercise program to 12 schools. This received commendations from clients and staff for its structure and cohesiveness.
- Darren's range of coaching clients spans children from two to 14 years old, to young adults from 15 years of age, right up to adults of 35 or more. He conducts programs such as pre-school sports sessions, primary school sports sessions, basketball group training, individual basketball training, football training, general physical training, forest trekking, children's camps, youth camps, corporate team building events, and corporate children's workshops. Darren has a deep understanding of children and is skilled in managing group dynamics.
- Darren has over 1,000 hours of outdoor jungle trekking experience, including in the parks and wildernesses of Singapore, Vietnam, the Philippines and Australia.
- He has led groups of Junior College students and teachers on multiple attempts to scale the highest mountain in the eastern range of the Himalayas during expeditions to Vietnam.
- Darren has organized more than ten children's camps. These always make an impact on the participants beyond fun and enjoyment – there is always an element of empowerment that the children take home with them. He has also run overnight camps for primary school children aged six to twelve years old, and a combined graduation camp for six year olds from seven separate preschools from around Singapore. In addition, Darren is the co-leader of the first ever all-inclusive camp in Singapore in which children from all backgrounds and educational levels come together to enjoy themselves and be empowered. Darren has a deep understanding of children and is skilled in managing group dynamics.
Human Resource
- Darren graduated from the University of London, with a Bachelor of Science in Management (3rd class Honours). He acquired many human management and talent development skills during his university studies.
- He spent two years (2012-2013) as Head of the Human Resource Department of the Fiitercise Division in Nurture Education Group.
- Darren started the Wired Career Consultancy unit, an avenue for young adults to consult so as to make clear career decisions. In the process, he formulated various HR and recruitment systems for SMEs in the education industry.
- Darren volunteered for many organizations in his 14 years of service to humanitarian causes. This included providing care for the elderly (Moral Welfare Home Ren Ci Hospital), and participating in a Youth Mentorship program in a social service centre as an elder brother figure to Youth at Risk.
- Darren has also attempted to adopt two schools in Bihar, India under the Project "A Little Bit of Heart" to help children achieve their dreams.
- He has taken up leadership roles in several organizations, including President of the Clementi Town Secondary School Alumni Society and member of the Executive Committee of the Fen Yang Guo Clan Association.


text:
Please note that all beckett.com purchases, including Online Price Guides and Beckett Marketplace purchases will be charged in U.S. Dollars
Please let us know a convenient time to call you on
(*All time slots are available in CDT zone.)
Thank you for choosing this service. Our experts will call you on your preferred time.
Inserted one per hobby distributor box, these feature a mix of All-Star game and World Series programs from the past 20 years.


text:
Amels signs contract for new build Limited Editions 180 superyacht
The Netherlands-based shipyard Amels has announced the sale of a new build Amels Limited Editions 180 superyacht.
Amels has signed the contract for a new build 180 Limited Editions superyacht
The yacht's new owners were advised by Burgess in Monaco on the purchase of the 55m Amels superyacht, and Burgess Technical Services will serve as the owner's representative during the build.
According to the Dutch builder, the owner was motivated by the quick delivery time that the semi-custom Amels Limited Editions build offered. 'Across the industry we see delivery time as increasingly pivotal in owners' decision-making, and this new order brokered by Burgess confirms our leadership in this regard,' says AMELS CEO Rob Luijendijk. 'Our trusted Limited Editions platform eliminates technical risk and allows the owners to focus on customising the "fun parts" … We're so confident [on delivering on schedule] that, even while they're still reviewing design drawings, we'd encourage them to finalise their 2015 summer plans with this beautiful yacht.' Amels predicts a 16-month delivery time.
This is Amels latest Limited Editions 180 to be ordered, a model that has seen successful launches with the very different Step One and the family-friendly Engelberg plying the waters today.
The new Amels 180 Limited Editions shares the bold exterior styling of her sisters, by UK-based designer Tim Heywood. She will feature balconies off the main deck owners' suite and two to both port and starboard off the main saloon, and the new yacht will also boast a touch-and-go helipad and an expansive beach club hosting watertoys, a steam room and swim platform with integrated stairs for easy access into the sea.
The owners have chosen designer Christian Liaigre for the yacht's interior design; this is the first time that Paris-based interior designer Liaigre will work with Amels. Accommodations will be for 12 guests and 12 crew members plus the captain.
Amels currently has nine Limited Editions superyachts in build, ranging up to the flagship 83m Amels Limited Editions 272.
Source: http://www.boatinternational.com/2014/03/07/amels-signs-contract-for-new-build-limited-editions-180-superyacht


text:
We created a BrandYou identity for Open Strings, a charity that encourages older adults and other disadvantaged groups to make music with stringed instruments (cellos, violas and violins).
The new logo needed to represent the stringed instrument, movement and essence of Open Strings. It also had to appeal primarily to older adults, but also to potential funders and sponsors. Friendly, approachable and professional were key words used to describe the potential new identity.
The design options initially presented focused on the elements of the instruments. The response from Bela Emerson, the charity's founder, was extremely positive. We then developed her preferred option to further include the string movement and the workshop names 'Silver Strings', 'Sing Healthy, Sing Happy' and 'Strings Unbarred'. The final logo is unique, elegant and shows passion for the instruments and music.
The inspiring cellist logo has been refined and applied to stationery and website designs. We have enjoyed working with Bela and Open Strings and hope that the strong new identity will help the cause go from strength to strength.
'Ellipsis has been very helpful and supportive, listening carefully to our ideas and developing them, continuing to check in with us. They've communicated really well and sent some great ideas along; they've also been very open to input and happy to adapt to what we've needed. It's definitely been a collaborative approach, which has suited us really well. We now have a professional-looking logo and design which will enable us to reach more beneficiaries, supporters and funders and which will form the basis for our expanding range of visual communications.'
© Ellipsis 2018


text:
There are amazing people who can solve the rubik's cube at the faster way we just can't do. These people might have been practicing and solving the cube for a long time than we do but take it they are just smart enough to solve it even if we rumble the cube the most complicated way we can.
And if you are juts of the many who are having a hard time solving the cube, then you must be the same person who would give up trying your best for the cube. But this might be good or an insult to us, this robotic technology is the best way to solve the cube at that very instant.
Take it, this is faster than the person you knew who can solve the cube. Using its designs and features, this Rubik's cube solving robot puzzle the cube within just 3.253 seconds planking its record breaking speed.
The technology uses camera to distinguish scrambled colors for it to process. Thank you so much for dropping by and reading this blog post. For more amazing stories, feel free to visit our website more often.


text:
Welcome to Imagistic Australia where you will find all types of photography displayed in numerous Albums. Please feel free to watch the slideshow, look at the featured gallery below or browse the images in my albums, please hover your mouse over each album to see what's inside. If you have any questions or you are interested in commissioning, using or purchasing an image, please contact me via the details on the contact page. I can provide beautiful electronic or framed prints of any image at a reasonable cost, please contact me for prices
Please Sign the Guestbook below
Music supplied by Bensound


text:
Zombie WarZ has started taking applications for the 2017 season and will hire our Zombies in August.
Ever wonder what being a "real" Zombie was like? How about one getting shot at with paintballs? Well, Zombie WarZ is looking for individuals interested in experiencing a Zombie Apocalypse from the Zombie perspective, and you make money while doing it.
If you want to have fun, are at least 16 years old, have reliable transportation, and can work Friday and/or Saturday nights between October 6th and November 4th, then go to our Facebook page (Zombie WarZ) and fill out a short application. If you do not use FB then contact Sylvia (our Zombie Recruiter and a Zombie) at firstname.lastname@example.com with your name, best cell phone number, and email. Sylvia will contact you for more information.