2018/04/30 by Mark van Atten, van Atten, Mark · 1 voice · 1 citation
Mathematics · #FOS: Mathematics #History and Overview (math.HO) #Logic (math.LO) #math.HO #math.LO
paper · pdf · doi:10.48550/arxiv.1805.00404
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.