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(2009) Towards mathematical philosophy, Dordrecht, Springer.
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
DOI: 10.1007/978-1-4020-9084-4_9
Full citation:
Lee, J. (2009)., The classical model existence theorem in subclassical predicate logics I, in D. Makinson, J. Malinowski & H. Wansing (eds.), Towards mathematical philosophy, Dordrecht, Springer, pp. 187-199.
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