Incorrect representations on the part of mathematicians themselves were instrumental to this failure to recognize the concept; but the disputes were mainly due to the incapacity to justify the subject matter as concept But mathematics, as remarked above, cannot circumvent the concept here; for, as the mathematics of the infinite, it does not restrict itself to the finite determinateness of its objects (as pure mathematics does, which considers space and time and their determinations only as finite, referring them to each other), but treats any determination which it takes from pure mathematics by converting it into an identity with its opposite as when, for instance, it converts a curved line into a straight one, the circle into a polygon, and so on.