محمد اردشیر

محمد اردشیر

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Kant's Influence on Brouwer

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There are at least three elemental parts in Brouuer's philosophy ef mathematics that mqy have their origin in Kant. These three parts are (1) the intuition ef time, (2) the synthetic a priority of mathematical kn01vledge, and (3) the inter-suf?jectiviry ef mathematical constructions. Brouwer borrowed the notion ef the movement eftime as an a priori intuition ef time, explicit!J expressed, from Kant. In Brouuer's philosophy ef mathematics, the intuition ef time is the on/y a priori notion, on wbicb the whole ef mathematics is built. Houeuer, their notions o] the "intuition eftime" are not the same in the genealogy ef mind As far as the second item is concerned, Brouwer believes that all ef mathematical kn01vledge is a priori and synthetic. His arguments are differentfrom Kant's arguments. The concept of ''inter-suf?jectiviry" ef mathematics in Brotouer's philosophy is very involved, and there is no reference to Kant in this respect. One mqy interpret it f?y the Kantian transcendental subject or even the Husserlian transcendental phenomenology. Both interpretations seem to be consistent. My suggestion is to read Brauner ry himse!f.

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