انجمن منطق ایران برگزار می­کند

Truth, Proof and Provability

محمد اردشیر

دانشگاه صنعتی شریف

We review the notions of truth, proof and provability in constructive logic. Then we examine these notions in Heyting Arithmetic HA, as a constructive mathematical theory. We argue that Heyting Arithmetic as is formalized, is not a “real” constructive arithmetical theory according to Brouwer-Heyting-Kolmogorov BHK proof explanation of the logical connectives. It sounds that, an extension of HA, called HA*, is a “better” approximation to the constructive arithmetic, based on the BHK proof explanation. Then we introduce the $$\Sigma_1$$-provability logic of HA*.

مکان:  تهران ، مؤسسة پژوهشی حکمت و فلسفة ایران

زمان: دوشنبه، 26 فروردین 1398، ساعت 4 بعد از ظهر