Indicative Conditionals, Restricted Quantification, Naïve Truth - a podcast by MCMP Team

Hartry Field (NYU) gives a talk at the MCMP Colloquium (20 May, 2015) titled "Indicative Conditionals, Restricted Quantification, Naïve Truth". Abstract: Truth is "naive" if for eternal sentences S, the attribution of truth to S is equivalent to S. Kripke’s theory of truth (the Kleene based version) shows how to get naive truth for very simple languages. After some motivation, I will sketch how to extend a broadly Kripkean approach to a language with a variably strict conditional operator, of the kind that Stalnaker and others have used to represent ordinary indicative conditionals of English. Also, to show how to combine this with a different conditional operator to handle restricted quantification. Previous attempts at logics for restricted quantification compatible with naive truth have mostly led to very impoverished logics. The only exception is a 2014 paper by me, but it was based on an ad hoc and unmotivated construction. This talk shows how to get a good logic for naive truth and restricted quantification in a much better-motivated way.

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