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Zoom Talk: Carlo Nicolai (King´s College)

Meeting ID: 925-6562-2309

12.11.2020 16:00  – 18:00 

Please contact office.leitgeb@lrz.uni-muenchen.de for the password.

Title:

Circular Propositional Functions

Abstract:

In unpublished work, Hannes Leitgeb and Philip Welch proposed a theory of propositional functions and truth. Propositional functions are structured and are endowed with an additional aboutness structure that is modelled after the inverse membership relation in (well-founded) sets. In the talk, I investigate an alternative picture, in which the aboutness structure of propositional functions is defined in terms of non-well-founded set membership.

Many virtues of the theory are shared with Leitgeb and Welch’s theory, and others are not. It is a classical theory of structured propositions, properties, relations that avoids paradox by providing a unified picture of semantic and logical paradoxes. It is mathematically strong, in that ZFA (and therefore ZFC) can be interpreted in it. Moreover, it can account for the intrinsic circularity of language and thought as it allows for entities that are about themselves.