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If what is thus present in the intellect consists in the universal manner in which all its objects must present themselves, then these are the forms of its cognizing

The passage

If what is thus present in the intellect itself consists in the universal manner in which all its objects must present themselves to it, then these are the forms of its cognizing, that is, the manner, fixed once and for all, in which it performs this function of its own.

Besteht nun dies so in ihm selbst Vorhandene in der allgemeinen Art und Weise, wie alle seine Gegenstände ihm sich darstellen müssen; nun, so ist damit gesagt, daß es die Formen seines Erkennens sind, d.h. die ein für alle Mal festgestellte Art und Weise, wie er diese seine Funktion vollzieht.

If now what is thus present in it itself consists in the universal way and manner in which all its objects must present themselves to it, then this is to say that these are the forms of its cognizing, that is, the way and manner, fixed once and for all, in which it performs this function of its own.

Die Welt als Wille und Vorstellung, Erster Band Anhang, Kritik der Kantischen Philosophie, the paragraph beginning »Die transscendentale Aesthetik ist ein so überaus verdienstvolles Werk« (ZA II 536–537)

The sixth sentence of the paragraph, a conditional in the text, »Besteht nun dies ...; nun, so ist damit gesagt«, and a conditional in the statement; the map does not assert its antecedent in this claim. It is premise 4 of the checked argument a-schopenhauer-cognitions-a-priori-are-the-intellects-own-forms, and the argument discharges the antecedent by an assumption named as the map's: that the a priori cognitions consist in the universal manner in which all the intellect's objects must present themselves to it is what the Aesthetic's theorems say of space and time, which Schopenhauer counts irrefutable (c-schopenhauer-theorems-of-transcendental-aesthetic-irrefutable-truths), and no sentence of this paragraph asserts it in so many words. »Dies so in ihm selbst Vorhandene« is what the two sentences before have reached, the a priori cognitions as the intellect's own; the statement keeps »thus«.

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