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On the Fourfold Root of the Principle of Sufficient...

§ 38. Reason of being in Time. Arithmetic.

Project Gutenberg EPUB3 edition Schopenhauer, Arthur and Hillebrand, Karl, Mme.
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Every instant in Time is conditioned by the preceding one. The Sufficient Reason of Being, as the law of consequence, is so simple here, because Time has only one dimension, therefore it admits of no multiplicity of relations. Each instant is conditioned by its predecessor; we can only reach it through that predecessor: only so far as this was and has elapsed, does the present one exist. All counting rests upon this nexus of the divisions of Time, numbers only serving to mark the single steps in the succession; upon it therefore rests all arithmetic likewise, which teaches absolutely nothing but methodical abbreviations of numeration. Each number pre-supposes its predecessors as the reasons of its being: we can only reach the number ten by passing through all the preceding numbers, and it is only in virtue of this insight that I know, that where ten are, there also are eight, six, four.

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On the Fourfold Root of the Principle of Sufficient Reason, and On the Will in Nature: Two Essays (revised edition), Project Gutenberg eBook #50966

§ 37. Reason of Being in Space. § 39. Geometry.