The classical model existence theorem in subclassical predicate logics I

Lee Jui-Lin

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The classical model existence theorem in subclassical predicate logics I

Jui-Lin Lee

pp. 187-199

Abstract

We prove that in predicate logics there are some classically sound Hilbert systems which satisfy the classical model existence theorem (every ⊥-consistent set has a classical model) but are weaker than first order logic.

Publication details

Published in:

Makinson David, Malinowski Jacek, Wansing Heinrich (2009) Towards mathematical philosophy: papers from the Studia logica conference Trends in logic IV. Dordrecht, Springer.

Pages: 187-199

DOI: 10.1007/978-1-4020-9084-4_9

Full citation:

Lee Jui-Lin (2009) „The classical model existence theorem in subclassical predicate logics I“, In: D. Makinson, J. Malinowski & H. Wansing (eds.), Towards mathematical philosophy, Dordrecht, Springer, 187–199.