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

Mark van Atten
2018 arXiv   pre-print
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
more » ... e 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 fatcat:mihkswwo5bhnjidf4mwdechwni