Topologies for intermediate logics

Mathematical Logic Quarterly 60 (4-5):335-347 (2014)
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Abstract

We investigate the problem of characterizing the classes of Grothendieck toposes whose internal logic satisfies a given assertion in the theory of Heyting algebras, and introduce natural analogues of the double negation and De Morgan topologies on an elementary topos for a wide class of intermediate logics.

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2014-06-28

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Abstract logical structuralism.Jean-Pierre Marquis - 2020 - Philosophical Problems in Science 69:67-110.

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