Scheduled Commit
Browse files
data/retrieval_battle-b9229914-47bc-4da8-a21b-89329fff8207.jsonl
CHANGED
@@ -29,3 +29,4 @@
|
|
29 |
{"tstamp": 1722311284.3104, "task_type": "retrieval", "type": "tievote", "models": ["", ""], "ip": "", "0_conv_id": "f4c9ac94173d4247865eb70981697a10", "0_model_name": "mixedbread-ai/mxbai-embed-large-v1", "0_prompt": "What are the key principles of quantum mechanics?", "0_output": [["What are the key principles of quantum mechanics?", "Quantum mechanics\n\nQuantum mechanics is a fundamental theory in physics that describes the behavior of nature at and below the scale of atoms. It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science.\nQuantum mechanics can describe many systems that classical physics cannot. Classical physics can describe many aspects of nature at an ordinary (macroscopic and (optical) microscopic) scale, but is not sufficient for describing them at very small submicroscopic (atomic and subatomic) scales. Most theories in classical physics can be derived from quantum mechanics as an approximation valid at large (macroscopic/microscopic) scale.\nQuantum systems have bound states that are quantized to discrete values of energy, momentum, angular momentum, and other quantities, in contrast to classical systems where these quantities can be measured continuously. Measurements of quantum systems show characteristics of both particles and waves (wave–particle duality), and there are limits to how accurately the value of a physical quantity can be predicted prior to its measurement, given a complete set of initial conditions (the uncertainty principle)."]], "0_corpus": "wikipedia", "1_conv_id": "8ed959dba71e4b10b407a68b0b7a8ca9", "1_model_name": "nomic-ai/nomic-embed-text-v1.5", "1_prompt": "What are the key principles of quantum mechanics?", "1_output": [["What are the key principles of quantum mechanics?", "Introduction to quantum mechanics\n\nMany aspects of quantum mechanics are counterintuitive and can seem paradoxical because they describe behavior quite different from that seen at larger scales. In the words of quantum physicist Richard Feynman, quantum mechanics deals with \"nature as She is—absurd\". Features of quantum mechanics often defy simple explanations in everyday language. One example of this is the uncertainty principle: precise measurements of position cannot be combined with precise measurements of velocity. Another example is entanglement: a measurement made on one particle (such as an electron that is measured to have spin 'up') will correlate with a measurement on a second particle (an electron will be found to have spin 'down') if the two particles have a shared history. This will apply even if it is impossible for the result of the first measurement to have been transmitted to the second particle before the second measurement takes place.\nQuantum mechanics helps us understand chemistry, because it explains how atoms interact with each other and form molecules. Many remarkable phenomena can be explained using quantum mechanics, like superfluidity. For example, if liquid helium cooled to a temperature near absolute zero is placed in a container, it spontaneously flows up and over the rim of its container; this is an effect which cannot be explained by classical physics.\nHistory\nJames C. Maxwell's unification of the equations governing electricity, magnetism, and light in the late 19th century led to experiments on the interaction of light and matter. Some of these experiments had aspects which could not be explained until quantum mechanics emerged in the early part of the 20th century.\nEvidence of quanta from the photoelectric effect"]], "1_corpus": "wikipedia"}
|
30 |
{"tstamp": 1722311301.4896, "task_type": "retrieval", "type": "tievote", "models": ["", ""], "ip": "", "0_conv_id": "e25ddbeab37a4e65805ee17fe8dbf844", "0_model_name": "intfloat/multilingual-e5-large-instruct", "0_prompt": "What is the history and significance of the Silk Road?", "0_output": [["What is the history and significance of the Silk Road?", "Silk Road\n\nThe Silk Road was a network of Eurasian trade routes active from the second century BCE until the mid-15th century. Spanning over , it played a central role in facilitating economic, cultural, political, and religious interactions between the Eastern and Western worlds. The name \"Silk Road\" was first coined in the late 19th century, but some 20th- and 21st-century historians instead prefer the term Silk Routes, on the grounds that it more accurately describes the intricate web of land and sea routes connecting Central, East, South, Southeast, and West Asia as well as East Africa and Southern Europe."]], "0_corpus": "wikipedia", "1_conv_id": "f903812140fb434d886b47c056c458bf", "1_model_name": "mixedbread-ai/mxbai-embed-large-v1", "1_prompt": "What is the history and significance of the Silk Road?", "1_output": [["What is the history and significance of the Silk Road?", "Silk Road\n\nThe Silk Road was a network of Eurasian trade routes active from the second century BCE until the mid-15th century. Spanning over , it played a central role in facilitating economic, cultural, political, and religious interactions between the Eastern and Western worlds. The name \"Silk Road\" was first coined in the late 19th century, but some 20th- and 21st-century historians instead prefer the term Silk Routes, on the grounds that it more accurately describes the intricate web of land and sea routes connecting Central, East, South, Southeast, and West Asia as well as East Africa and Southern Europe."]], "1_corpus": "wikipedia"}
|
31 |
{"tstamp": 1722311318.7266, "task_type": "retrieval", "type": "tievote", "models": ["", ""], "ip": "", "0_conv_id": "c1f62d7555804ab3a153de69ca106e31", "0_model_name": "GritLM/GritLM-7B", "0_prompt": "How do black holes form and what are their main properties?", "0_output": [["How do black holes form and what are their main properties?", "Black hole\n\nFormation and evolution Given the bizarre character of black holes, it was long questioned whether such objects could actually exist in nature or whether they were merely pathological solutions to Einstein's equations. Einstein himself wrongly thought black holes would not form, because he held that the angular momentum of collapsing particles would stabilize their motion at some radius. This led the general relativity community to dismiss all results to the contrary for many years. However, a minority of relativists continued to contend that black holes were physical objects, and by the end of the 1960s, they had persuaded the majority of researchers in the field that there is no obstacle to the formation of an event horizon.\nPenrose demonstrated that once an event horizon forms, general relativity without quantum mechanics requires that a singularity will form within. Shortly afterwards, Hawking showed that many cosmological solutions that describe the Big Bang have singularities without scalar fields or other exotic matter. The Kerr solution, the no-hair theorem, and the laws of black hole thermodynamics showed that the physical properties of black holes were simple and comprehensible, making them respectable subjects for research. Conventional black holes are formed by gravitational collapse of heavy objects such as stars, but they can also in theory be formed by other processes."]], "0_corpus": "wikipedia", "1_conv_id": "1c02620544ee43d78b4c741a10b183e6", "1_model_name": "text-embedding-3-large", "1_prompt": "How do black holes form and what are their main properties?", "1_output": [["How do black holes form and what are their main properties?", "Black hole\n\nFormation and evolution Given the bizarre character of black holes, it was long questioned whether such objects could actually exist in nature or whether they were merely pathological solutions to Einstein's equations. Einstein himself wrongly thought black holes would not form, because he held that the angular momentum of collapsing particles would stabilize their motion at some radius. This led the general relativity community to dismiss all results to the contrary for many years. However, a minority of relativists continued to contend that black holes were physical objects, and by the end of the 1960s, they had persuaded the majority of researchers in the field that there is no obstacle to the formation of an event horizon.\nPenrose demonstrated that once an event horizon forms, general relativity without quantum mechanics requires that a singularity will form within. Shortly afterwards, Hawking showed that many cosmological solutions that describe the Big Bang have singularities without scalar fields or other exotic matter. The Kerr solution, the no-hair theorem, and the laws of black hole thermodynamics showed that the physical properties of black holes were simple and comprehensible, making them respectable subjects for research. Conventional black holes are formed by gravitational collapse of heavy objects such as stars, but they can also in theory be formed by other processes."]], "1_corpus": "wikipedia"}
|
|
|
|
29 |
{"tstamp": 1722311284.3104, "task_type": "retrieval", "type": "tievote", "models": ["", ""], "ip": "", "0_conv_id": "f4c9ac94173d4247865eb70981697a10", "0_model_name": "mixedbread-ai/mxbai-embed-large-v1", "0_prompt": "What are the key principles of quantum mechanics?", "0_output": [["What are the key principles of quantum mechanics?", "Quantum mechanics\n\nQuantum mechanics is a fundamental theory in physics that describes the behavior of nature at and below the scale of atoms. It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science.\nQuantum mechanics can describe many systems that classical physics cannot. Classical physics can describe many aspects of nature at an ordinary (macroscopic and (optical) microscopic) scale, but is not sufficient for describing them at very small submicroscopic (atomic and subatomic) scales. Most theories in classical physics can be derived from quantum mechanics as an approximation valid at large (macroscopic/microscopic) scale.\nQuantum systems have bound states that are quantized to discrete values of energy, momentum, angular momentum, and other quantities, in contrast to classical systems where these quantities can be measured continuously. Measurements of quantum systems show characteristics of both particles and waves (wave–particle duality), and there are limits to how accurately the value of a physical quantity can be predicted prior to its measurement, given a complete set of initial conditions (the uncertainty principle)."]], "0_corpus": "wikipedia", "1_conv_id": "8ed959dba71e4b10b407a68b0b7a8ca9", "1_model_name": "nomic-ai/nomic-embed-text-v1.5", "1_prompt": "What are the key principles of quantum mechanics?", "1_output": [["What are the key principles of quantum mechanics?", "Introduction to quantum mechanics\n\nMany aspects of quantum mechanics are counterintuitive and can seem paradoxical because they describe behavior quite different from that seen at larger scales. In the words of quantum physicist Richard Feynman, quantum mechanics deals with \"nature as She is—absurd\". Features of quantum mechanics often defy simple explanations in everyday language. One example of this is the uncertainty principle: precise measurements of position cannot be combined with precise measurements of velocity. Another example is entanglement: a measurement made on one particle (such as an electron that is measured to have spin 'up') will correlate with a measurement on a second particle (an electron will be found to have spin 'down') if the two particles have a shared history. This will apply even if it is impossible for the result of the first measurement to have been transmitted to the second particle before the second measurement takes place.\nQuantum mechanics helps us understand chemistry, because it explains how atoms interact with each other and form molecules. Many remarkable phenomena can be explained using quantum mechanics, like superfluidity. For example, if liquid helium cooled to a temperature near absolute zero is placed in a container, it spontaneously flows up and over the rim of its container; this is an effect which cannot be explained by classical physics.\nHistory\nJames C. Maxwell's unification of the equations governing electricity, magnetism, and light in the late 19th century led to experiments on the interaction of light and matter. Some of these experiments had aspects which could not be explained until quantum mechanics emerged in the early part of the 20th century.\nEvidence of quanta from the photoelectric effect"]], "1_corpus": "wikipedia"}
|
30 |
{"tstamp": 1722311301.4896, "task_type": "retrieval", "type": "tievote", "models": ["", ""], "ip": "", "0_conv_id": "e25ddbeab37a4e65805ee17fe8dbf844", "0_model_name": "intfloat/multilingual-e5-large-instruct", "0_prompt": "What is the history and significance of the Silk Road?", "0_output": [["What is the history and significance of the Silk Road?", "Silk Road\n\nThe Silk Road was a network of Eurasian trade routes active from the second century BCE until the mid-15th century. Spanning over , it played a central role in facilitating economic, cultural, political, and religious interactions between the Eastern and Western worlds. The name \"Silk Road\" was first coined in the late 19th century, but some 20th- and 21st-century historians instead prefer the term Silk Routes, on the grounds that it more accurately describes the intricate web of land and sea routes connecting Central, East, South, Southeast, and West Asia as well as East Africa and Southern Europe."]], "0_corpus": "wikipedia", "1_conv_id": "f903812140fb434d886b47c056c458bf", "1_model_name": "mixedbread-ai/mxbai-embed-large-v1", "1_prompt": "What is the history and significance of the Silk Road?", "1_output": [["What is the history and significance of the Silk Road?", "Silk Road\n\nThe Silk Road was a network of Eurasian trade routes active from the second century BCE until the mid-15th century. Spanning over , it played a central role in facilitating economic, cultural, political, and religious interactions between the Eastern and Western worlds. The name \"Silk Road\" was first coined in the late 19th century, but some 20th- and 21st-century historians instead prefer the term Silk Routes, on the grounds that it more accurately describes the intricate web of land and sea routes connecting Central, East, South, Southeast, and West Asia as well as East Africa and Southern Europe."]], "1_corpus": "wikipedia"}
|
31 |
{"tstamp": 1722311318.7266, "task_type": "retrieval", "type": "tievote", "models": ["", ""], "ip": "", "0_conv_id": "c1f62d7555804ab3a153de69ca106e31", "0_model_name": "GritLM/GritLM-7B", "0_prompt": "How do black holes form and what are their main properties?", "0_output": [["How do black holes form and what are their main properties?", "Black hole\n\nFormation and evolution Given the bizarre character of black holes, it was long questioned whether such objects could actually exist in nature or whether they were merely pathological solutions to Einstein's equations. Einstein himself wrongly thought black holes would not form, because he held that the angular momentum of collapsing particles would stabilize their motion at some radius. This led the general relativity community to dismiss all results to the contrary for many years. However, a minority of relativists continued to contend that black holes were physical objects, and by the end of the 1960s, they had persuaded the majority of researchers in the field that there is no obstacle to the formation of an event horizon.\nPenrose demonstrated that once an event horizon forms, general relativity without quantum mechanics requires that a singularity will form within. Shortly afterwards, Hawking showed that many cosmological solutions that describe the Big Bang have singularities without scalar fields or other exotic matter. The Kerr solution, the no-hair theorem, and the laws of black hole thermodynamics showed that the physical properties of black holes were simple and comprehensible, making them respectable subjects for research. Conventional black holes are formed by gravitational collapse of heavy objects such as stars, but they can also in theory be formed by other processes."]], "0_corpus": "wikipedia", "1_conv_id": "1c02620544ee43d78b4c741a10b183e6", "1_model_name": "text-embedding-3-large", "1_prompt": "How do black holes form and what are their main properties?", "1_output": [["How do black holes form and what are their main properties?", "Black hole\n\nFormation and evolution Given the bizarre character of black holes, it was long questioned whether such objects could actually exist in nature or whether they were merely pathological solutions to Einstein's equations. Einstein himself wrongly thought black holes would not form, because he held that the angular momentum of collapsing particles would stabilize their motion at some radius. This led the general relativity community to dismiss all results to the contrary for many years. However, a minority of relativists continued to contend that black holes were physical objects, and by the end of the 1960s, they had persuaded the majority of researchers in the field that there is no obstacle to the formation of an event horizon.\nPenrose demonstrated that once an event horizon forms, general relativity without quantum mechanics requires that a singularity will form within. Shortly afterwards, Hawking showed that many cosmological solutions that describe the Big Bang have singularities without scalar fields or other exotic matter. The Kerr solution, the no-hair theorem, and the laws of black hole thermodynamics showed that the physical properties of black holes were simple and comprehensible, making them respectable subjects for research. Conventional black holes are formed by gravitational collapse of heavy objects such as stars, but they can also in theory be formed by other processes."]], "1_corpus": "wikipedia"}
|
32 |
+
{"tstamp": 1722313460.3193, "task_type": "retrieval", "type": "rightvote", "models": ["", ""], "ip": "", "0_conv_id": "4e00c146250846939c8ba7c8a40eca43", "0_model_name": "BAAI/bge-large-en-v1.5", "0_prompt": "给我一个吻", "0_output": [["给我一个吻", "Taiwanese Hokkien\n\nSubject–kā–object–verb: Another sentence of roughly equivalent meaning is Goá kā lí phō, with the slight connotation of 'I take you and hold' or 'I get to you and hold'.\nObject hō͘ subject–verb (the passive voice): Then, Lí hō͘ goá phō means the same thing but in the passive voice, with the connotation of 'You allow yourself to be held by me' or 'You make yourself available for my holding'.\nWith this, more complicated sentences can be constructed: Goá hō͘ lí chúi lim ('I give water for you to drink': chúi means 'water'; lim is 'to drink').\nThis article can only give a few very simple examples on the syntax, for flavour. Linguistic work on the syntax of Taiwanese is still a (quite nascent) scholarly topic being explored.\nScripts and orthographies\nUntil the late 19th century, Taiwanese speakers wrote mostly in Classical Chinese, although songbooks using Han characters are attested from the 1820s. Among many systems of writing Taiwanese using Latin characters, the most used is called Pe̍h-ōe-jī (POJ) and was developed in the 19th century, while the Taiwanese Romanization System (Tâi-lô) has been officially promoted since 2006 by Taiwan's Ministry of Education. (For additional romanized systems, see references in \"Orthography in Latin characters\", below.) Nonetheless, Taiwanese speakers nowadays most commonly write in Mandarin, though many of the same characters are also used to write Taiwanese."]], "0_corpus": "wikipedia", "1_conv_id": "3072a5571b6f43429edbd73072654e79", "1_model_name": "Salesforce/SFR-Embedding-2_R", "1_prompt": "给我一个吻", "1_output": [["给我一个吻", "Kiss\n\nIn early Japanese films, kissing and sexual expression were controversial. In 1931, a director slipped a kissing scene past the censor (who was a friend), but when the film opened in a downtown Tokyo theater, the screening was stopped and the film confiscated. During the American occupation of Japan, in 1946, an American censor required a film to include a kissing scene. One scholar says that the censor suggested \"we believe that even Japanese do something like kissing when they love each other. Why don't you include that in your films?\" Americans encouraged such scenes to force the Japanese to express publicly actions and feelings that had been considered strictly private. Since Pearl Harbor, Americans had felt that the Japanese were \"sneaky\", claiming that \"if Japanese kissed in private, they should do it in public too.\"\nNon-sexual kisses\nIn some Western cultures, it is considered good luck to kiss someone on Christmas or on New Year's Eve, especially beneath a sprig of mistletoe. Newlyweds usually kiss at the end of a wedding ceremony.\nFemale friends and relations and close acquaintances commonly offer reciprocal kisses on the cheek as a greeting or farewell.\nWhere cheek kissing is used, in some countries a single kiss is the custom, while in others a kiss on each cheek is the norm, or even three or four kisses on alternating cheeks. In the United States, an air kiss is becoming more common. This involves kissing in the air near the cheek, with the cheeks touching or not. After a first date, it is common for the couple to give each other a quick kiss on the cheek (or lips where that is the norm) on parting, to indicate that a good time was had and perhaps to indicate an interest in another meeting."]], "1_corpus": "wikipedia"}
|
data/retrieval_individual-b9229914-47bc-4da8-a21b-89329fff8207.jsonl
CHANGED
@@ -103,3 +103,5 @@
|
|
103 |
{"tstamp": 1722311315.3188, "task_type": "retrieval", "type": "chat", "model": "text-embedding-3-large", "gen_params": {}, "start": 1722311314.8171, "finish": 1722311315.3188, "ip": "", "conv_id": "1c02620544ee43d78b4c741a10b183e6", "model_name": "text-embedding-3-large", "prompt": "How do black holes form and what are their main properties?", "output": [["How do black holes form and what are their main properties?", "Black hole\n\nFormation and evolution Given the bizarre character of black holes, it was long questioned whether such objects could actually exist in nature or whether they were merely pathological solutions to Einstein's equations. Einstein himself wrongly thought black holes would not form, because he held that the angular momentum of collapsing particles would stabilize their motion at some radius. This led the general relativity community to dismiss all results to the contrary for many years. However, a minority of relativists continued to contend that black holes were physical objects, and by the end of the 1960s, they had persuaded the majority of researchers in the field that there is no obstacle to the formation of an event horizon.\nPenrose demonstrated that once an event horizon forms, general relativity without quantum mechanics requires that a singularity will form within. Shortly afterwards, Hawking showed that many cosmological solutions that describe the Big Bang have singularities without scalar fields or other exotic matter. The Kerr solution, the no-hair theorem, and the laws of black hole thermodynamics showed that the physical properties of black holes were simple and comprehensible, making them respectable subjects for research. Conventional black holes are formed by gravitational collapse of heavy objects such as stars, but they can also in theory be formed by other processes."]], "corpus": "wikipedia"}
|
104 |
{"tstamp": 1722311338.9735, "task_type": "retrieval", "type": "chat", "model": "text-embedding-3-large", "gen_params": {}, "start": 1722311338.5046, "finish": 1722311338.9735, "ip": "", "conv_id": "6db021a59686456b856a8b96bb3ccc8b", "model_name": "text-embedding-3-large", "prompt": "What are the implications of Gödel’s incompleteness theorems on the foundations of mathematics and computer science?", "output": [["What are the implications of Gödel’s incompleteness theorems on the foundations of mathematics and computer science?", "Gödel's incompleteness theorems\n\nObserve then, that if we can prove that the system is consistent (ie. the statement in the hypothesis of ), then we have proved that is not provable. But this is a contradiction since by the 1st Incompleteness Theorem, this sentence (ie. what is implied in the sentence , \"\"\" is not provable\") is what we construct to be unprovable. Notice that this is why we require formalizing the first Incompleteness Theorem in : to prove the 2nd Incompleteness Theorem, we obtain a contradiction with the 1st Incompleteness Theorem which can do only by showing that the theorem holds in . So we cannot prove that the system is consistent. And the 2nd Incompleteness Theorem statement follows.\nDiscussion and implications\nThe incompleteness results affect the philosophy of mathematics, particularly versions of formalism, which use a single system of formal logic to define their principles.\nConsequences for logicism and Hilbert's second problem\nThe incompleteness theorem is sometimes thought to have severe consequences for the program of logicism proposed by Gottlob Frege and Bertrand Russell, which aimed to define the natural numbers in terms of logic. Bob Hale and Crispin Wright argue that it is not a problem for logicism because the incompleteness theorems apply equally to first-order logic as they do to arithmetic. They argue that only those who believe that the natural numbers are to be defined in terms of first order logic have this problem."]], "corpus": "wikipedia"}
|
105 |
{"tstamp": 1722311338.9735, "task_type": "retrieval", "type": "chat", "model": "mixedbread-ai/mxbai-embed-large-v1", "gen_params": {}, "start": 1722311338.5046, "finish": 1722311338.9735, "ip": "", "conv_id": "de0a7e21ceeb42dc94708bac0371c952", "model_name": "mixedbread-ai/mxbai-embed-large-v1", "prompt": "What are the implications of Gödel’s incompleteness theorems on the foundations of mathematics and computer science?", "output": [["What are the implications of Gödel’s incompleteness theorems on the foundations of mathematics and computer science?", "Gödel's incompleteness theorems\n\nGödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of in formal axiomatic theories. These results, published by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The theorems are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics is impossible.\nThe first incompleteness theorem states that no consistent system of axioms whose theorems can be listed by an effective procedure (i.e. an algorithm) is capable of proving all truths about the arithmetic of natural numbers. For any such consistent formal system, there will always be statements about natural numbers that are true, but that are unprovable within the system.\nThe second incompleteness theorem, an extension of the first, shows that the system cannot demonstrate its own consistency.\nEmploying a diagonal argument, Gödel's incompleteness theorems were the first of several closely related theorems on the limitations of formal systems. They were followed by Tarski's undefinability theorem on the formal undefinability of truth, Church's proof that Hilbert's Entscheidungsproblem is unsolvable, and Turing's theorem that there is no algorithm to solve the halting problem.\nFormal systems: completeness, consistency, and effective axiomatization"]], "corpus": "wikipedia"}
|
|
|
|
|
|
103 |
{"tstamp": 1722311315.3188, "task_type": "retrieval", "type": "chat", "model": "text-embedding-3-large", "gen_params": {}, "start": 1722311314.8171, "finish": 1722311315.3188, "ip": "", "conv_id": "1c02620544ee43d78b4c741a10b183e6", "model_name": "text-embedding-3-large", "prompt": "How do black holes form and what are their main properties?", "output": [["How do black holes form and what are their main properties?", "Black hole\n\nFormation and evolution Given the bizarre character of black holes, it was long questioned whether such objects could actually exist in nature or whether they were merely pathological solutions to Einstein's equations. Einstein himself wrongly thought black holes would not form, because he held that the angular momentum of collapsing particles would stabilize their motion at some radius. This led the general relativity community to dismiss all results to the contrary for many years. However, a minority of relativists continued to contend that black holes were physical objects, and by the end of the 1960s, they had persuaded the majority of researchers in the field that there is no obstacle to the formation of an event horizon.\nPenrose demonstrated that once an event horizon forms, general relativity without quantum mechanics requires that a singularity will form within. Shortly afterwards, Hawking showed that many cosmological solutions that describe the Big Bang have singularities without scalar fields or other exotic matter. The Kerr solution, the no-hair theorem, and the laws of black hole thermodynamics showed that the physical properties of black holes were simple and comprehensible, making them respectable subjects for research. Conventional black holes are formed by gravitational collapse of heavy objects such as stars, but they can also in theory be formed by other processes."]], "corpus": "wikipedia"}
|
104 |
{"tstamp": 1722311338.9735, "task_type": "retrieval", "type": "chat", "model": "text-embedding-3-large", "gen_params": {}, "start": 1722311338.5046, "finish": 1722311338.9735, "ip": "", "conv_id": "6db021a59686456b856a8b96bb3ccc8b", "model_name": "text-embedding-3-large", "prompt": "What are the implications of Gödel’s incompleteness theorems on the foundations of mathematics and computer science?", "output": [["What are the implications of Gödel’s incompleteness theorems on the foundations of mathematics and computer science?", "Gödel's incompleteness theorems\n\nObserve then, that if we can prove that the system is consistent (ie. the statement in the hypothesis of ), then we have proved that is not provable. But this is a contradiction since by the 1st Incompleteness Theorem, this sentence (ie. what is implied in the sentence , \"\"\" is not provable\") is what we construct to be unprovable. Notice that this is why we require formalizing the first Incompleteness Theorem in : to prove the 2nd Incompleteness Theorem, we obtain a contradiction with the 1st Incompleteness Theorem which can do only by showing that the theorem holds in . So we cannot prove that the system is consistent. And the 2nd Incompleteness Theorem statement follows.\nDiscussion and implications\nThe incompleteness results affect the philosophy of mathematics, particularly versions of formalism, which use a single system of formal logic to define their principles.\nConsequences for logicism and Hilbert's second problem\nThe incompleteness theorem is sometimes thought to have severe consequences for the program of logicism proposed by Gottlob Frege and Bertrand Russell, which aimed to define the natural numbers in terms of logic. Bob Hale and Crispin Wright argue that it is not a problem for logicism because the incompleteness theorems apply equally to first-order logic as they do to arithmetic. They argue that only those who believe that the natural numbers are to be defined in terms of first order logic have this problem."]], "corpus": "wikipedia"}
|
105 |
{"tstamp": 1722311338.9735, "task_type": "retrieval", "type": "chat", "model": "mixedbread-ai/mxbai-embed-large-v1", "gen_params": {}, "start": 1722311338.5046, "finish": 1722311338.9735, "ip": "", "conv_id": "de0a7e21ceeb42dc94708bac0371c952", "model_name": "mixedbread-ai/mxbai-embed-large-v1", "prompt": "What are the implications of Gödel’s incompleteness theorems on the foundations of mathematics and computer science?", "output": [["What are the implications of Gödel’s incompleteness theorems on the foundations of mathematics and computer science?", "Gödel's incompleteness theorems\n\nGödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of in formal axiomatic theories. These results, published by Kurt Gödel in 1931, are important both in mathematical logic and in the philosophy of mathematics. The theorems are widely, but not universally, interpreted as showing that Hilbert's program to find a complete and consistent set of axioms for all mathematics is impossible.\nThe first incompleteness theorem states that no consistent system of axioms whose theorems can be listed by an effective procedure (i.e. an algorithm) is capable of proving all truths about the arithmetic of natural numbers. For any such consistent formal system, there will always be statements about natural numbers that are true, but that are unprovable within the system.\nThe second incompleteness theorem, an extension of the first, shows that the system cannot demonstrate its own consistency.\nEmploying a diagonal argument, Gödel's incompleteness theorems were the first of several closely related theorems on the limitations of formal systems. They were followed by Tarski's undefinability theorem on the formal undefinability of truth, Church's proof that Hilbert's Entscheidungsproblem is unsolvable, and Turing's theorem that there is no algorithm to solve the halting problem.\nFormal systems: completeness, consistency, and effective axiomatization"]], "corpus": "wikipedia"}
|
106 |
+
{"tstamp": 1722313442.1056, "task_type": "retrieval", "type": "chat", "model": "BAAI/bge-large-en-v1.5", "gen_params": {}, "start": 1722313439.9312, "finish": 1722313442.1056, "ip": "", "conv_id": "4e00c146250846939c8ba7c8a40eca43", "model_name": "BAAI/bge-large-en-v1.5", "prompt": "给我一个吻", "output": [["给我一个吻", "Taiwanese Hokkien\n\nSubject–kā–object–verb: Another sentence of roughly equivalent meaning is Goá kā lí phō, with the slight connotation of 'I take you and hold' or 'I get to you and hold'.\nObject hō͘ subject–verb (the passive voice): Then, Lí hō͘ goá phō means the same thing but in the passive voice, with the connotation of 'You allow yourself to be held by me' or 'You make yourself available for my holding'.\nWith this, more complicated sentences can be constructed: Goá hō͘ lí chúi lim ('I give water for you to drink': chúi means 'water'; lim is 'to drink').\nThis article can only give a few very simple examples on the syntax, for flavour. Linguistic work on the syntax of Taiwanese is still a (quite nascent) scholarly topic being explored.\nScripts and orthographies\nUntil the late 19th century, Taiwanese speakers wrote mostly in Classical Chinese, although songbooks using Han characters are attested from the 1820s. Among many systems of writing Taiwanese using Latin characters, the most used is called Pe̍h-ōe-jī (POJ) and was developed in the 19th century, while the Taiwanese Romanization System (Tâi-lô) has been officially promoted since 2006 by Taiwan's Ministry of Education. (For additional romanized systems, see references in \"Orthography in Latin characters\", below.) Nonetheless, Taiwanese speakers nowadays most commonly write in Mandarin, though many of the same characters are also used to write Taiwanese."]], "corpus": "wikipedia"}
|
107 |
+
{"tstamp": 1722313442.1056, "task_type": "retrieval", "type": "chat", "model": "Salesforce/SFR-Embedding-2_R", "gen_params": {}, "start": 1722313439.9312, "finish": 1722313442.1056, "ip": "", "conv_id": "3072a5571b6f43429edbd73072654e79", "model_name": "Salesforce/SFR-Embedding-2_R", "prompt": "给我一个吻", "output": [["给我一个吻", "Kiss\n\nIn early Japanese films, kissing and sexual expression were controversial. In 1931, a director slipped a kissing scene past the censor (who was a friend), but when the film opened in a downtown Tokyo theater, the screening was stopped and the film confiscated. During the American occupation of Japan, in 1946, an American censor required a film to include a kissing scene. One scholar says that the censor suggested \"we believe that even Japanese do something like kissing when they love each other. Why don't you include that in your films?\" Americans encouraged such scenes to force the Japanese to express publicly actions and feelings that had been considered strictly private. Since Pearl Harbor, Americans had felt that the Japanese were \"sneaky\", claiming that \"if Japanese kissed in private, they should do it in public too.\"\nNon-sexual kisses\nIn some Western cultures, it is considered good luck to kiss someone on Christmas or on New Year's Eve, especially beneath a sprig of mistletoe. Newlyweds usually kiss at the end of a wedding ceremony.\nFemale friends and relations and close acquaintances commonly offer reciprocal kisses on the cheek as a greeting or farewell.\nWhere cheek kissing is used, in some countries a single kiss is the custom, while in others a kiss on each cheek is the norm, or even three or four kisses on alternating cheeks. In the United States, an air kiss is becoming more common. This involves kissing in the air near the cheek, with the cheeks touching or not. After a first date, it is common for the couple to give each other a quick kiss on the cheek (or lips where that is the norm) on parting, to indicate that a good time was had and perhaps to indicate an interest in another meeting."]], "corpus": "wikipedia"}
|