Geometry Bases Itself On The Pure Intuition Of Space. Even Arithmetic Forms Its Concepts Of Numbers Through
Geometry bases itself on the pure intuition of space. Even arithmetic forms its concepts of numbers through successive addition of units in time, but above all pure mechanics can form its concepts of motion only by means of the representation of time. Both representations are, however, merely intuitions; for, if one eliminates from the empirical intuitions of bodies and their alterations (motion) everything empirical, that is, that which belongs to sensation, then space and time still remain, which are therefore pure intuitions that underlie a priori the empirical intuitions, and for that reason can never themselves be eliminated; but, by the very fact that they are pure intuitions a priori, they prove that they are mere forms of our sensibility that must precede all empirical intuition (i.e., the perception of actual objects), and in accordance with which objects can be cognized a priori, though of course only as they appear to us. -Immanuel Kant, Prolegomena to Any Future Metaphysics
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The mind wants to discover by reasoning what exists in the infinity of space that lies out there, beyond the ramparts of this world. - Lucretius
We are fundamentally inclined to maintain that the falsest opinions (to which synthetic judgements a priori belong), are the most indispensable to us; that without a recognition of logical fictions, without a comparison of reality with the purely imagined world of the absolute and immutable, without a constant counterfeiting of the world by means of numbers, man could not live—that the renunciation of false opinions would be a renunciation of life, negation to life. To recognize untruth as a condition of life; that is certainly to impugn the traditional ideas of value in a dangerous manner, and a philosophy which ventures to do so, has thereby alone placed itself beyond good and evil. Friedrich Nietzsche, Beyond Good and Evil
ὁ ἄναξ οὗ τὸ μαντεῖόν ἐστι τὸ ἐν Δελφοῖς οὔτε λέγει οὔτε κρύπτει ἀλλὰ σημαίνει. The lord whose oracle is in Delphi neither declares nor conceals, but gives a sign. -Heraclitus
A boundary is not that at which something stops but, as the Greeks recognized, the boundary is that from which something begins its presencing. That is why the concept is that of horismos, that is, the horizon, the boundary. -Martin Heidegger, Building, Dwelling, Thinking
The idea of political superiority always resolves itself into the idea of psychological superiority, in those cases where the highest caste is at the same time the priestly caste, and in accordance with its general characteristics confers on itself the privilege of a title which alludes specifically to its priestly function. It is in these cases, for instance, that “clean” and “unclean” confront each other for the first time as badges of class distinction; here again there develops a “good” and a “bad,” in a sense which has ceased to be merely social. Moreover, care should be taken not to take these ideas of “clean” and “unclean” too seriously, too broadly, or too symbolically: all the ideas of ancient man have, on the contrary, got to be understood in their initial stages, in a sense which is, to an almost inconceivable extent, crude, coarse, physical, and narrow, and above all essentially unsymbolical. The “clean man” is originally only a man who washes himself, who abstains from certain foods which are conducive to skin diseases, who does not sleep with the unclean women of the lower classes, who has a horror of blood—not more, not much more!
-Friedrich Nietzsche, The Genealogy of Morals