Number.—The invention of the laws of number has as its basis the primordial and prior-prevailing delusion that many like things exist (although in point of fact there is no such thing is a duplicate), or that, at least, there are things (but there is no “thing”). The assumption of plurality always presupposes that something exists which manifests itself repeatedly, but just here is where the delusion prevails; in this very matter we feign realities, unities, that have no existence. Our feelings, notions, of space and time are false for they lead, when duly tested, to logical contradictions. In all scientific demonstrations we always unavoidably base our calculation upon some false standards [of duration or measurement] but as these standards are at least constant, as, for example, our notions of time and space, the results arrived at by science possess absolute accuracy and certainty in their relationship to one another: one can keep on building upon them—until is reached that final limit at which the erroneous fundamental conceptions, (the invariable breakdown) come into conflict with the results established—as, for example, in the case of the atomic theory. Here we always find ourselves obliged to give credence to a “thing” or material “substratum” that is set in motion, although, at the same time, the whole scientific programme has had as its aim the resolving of everything material into motions [themselves]: here again we distinguish with our feeling [that which does the] moving and [that which is] moved,11 and we never get out of this circle, because the belief in things12 has been from time immemorial rooted in our nature.—When Kant says “the intellect does not derive its laws from nature, but dictates them to her” he states the full truth as regards the idea of nature which we form (nature = world, as notion, that is, as error) but which is merely the synthesis of a host of errors of the intellect. To a world not [the outcome of] our conception, the laws of number are wholly inapplicable: such laws are valid only in the world of mankind.
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