The Creating Subject, the Brouwer-Kripke Schema, and infinite proofs

Por • 4 may, 2018 • Sección: Educacion

Mark van Atten

Abstract: Kripke’s Schema (better the Brouwer-Kripke Schema) and the Kreisel-Troelstra Theory of the Creating Subject were introduced around the same time for the same purpose, that of analysing Brouwer’s ‘Creating Subject arguments'; other applications have been found since. I first look in detail at a representative choice of Brouwer’s arguments. Then I discuss the original use of the Schema and the Theory, their justification from a Brouwerian perspective, and instances of the Schema that can in fact be found in Brouwer’s own writings. Finally, I defend the Schema and the Theory against a number of objections that have been made.

arXiv:1805.00404v1 [math.HO]

History and Overview (math.HO); Logic (math.LO)

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