University of Birmingham > Talks@bham > Theoretical computer science seminar > Suszko's Thesis and Extensionality

Suszko's Thesis and Extensionality

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  • UserMatteo Bianchetti, University of St Andrews
  • ClockFriday 09 December 2011, 16:00-17:00
  • HouseLG52 Learning Centre.

If you have a question about this talk, please contact Paul Levy.

I will provide an introduction to the so-called Suszko’s Thesis: every logic is logically two-valued. Suszko showed how to provide a two valued semantics to sentential logics, defined as a substitution-invariant closure operator. I analyze how this result relates to his claim that there are only two truth values, Truth and Falsity, and his distinction of two kinds of semantics, referential semantics and logical semantics. In general, however, Suszko’s method leads to a non extensional semantics. A result by Wójcicki, instead, shows that every logic has a extensional many valued semantics. Is there a systematic way to characterize a logic by a two valued extensional semantics? I investigate a suggestion of reducing many-valuedness of the semantics achieved by Wójcicki’s method without losing extensionality.

This talk is part of the Theoretical computer science seminar series.

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