This Thursday's Logic Seminar, at 4.15pm in the graduate common room, 
will be Owen Griffiths on "Proof-theoretic semantics and natural language".

Abstract
Since Etchemendy's well-known criticisms of model-theoretic approaches 
to logical consequence, many alternatives have been suggested, the most 
influential of which is proof-theoretic. Proponents of proof-theoretic 
semantics argue that logical consequences are analytically valid by 
virtue of following from the meanings of the logical constants, which 
are given by their inference rules. This puts proof-theoretic 
consequence on a much firmer footing, they claim, than model theory can 
achieve. I present a number of objections to the proof-theoretic 
approach to logical consequence, focusing on issues of higher-order 
incompleteness, and the ways in which the proof-theorist's formalism 
fails to capture natural language reasoning.




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