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Displaying similar documents to “Sheaves and concepts : a model-theoretic interpretation of Grothendieck topoi”

Many-sorted coalgebraic modal logic : a model-theoretic study

Bart Jacobs (2001)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

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This paper gives a semantical underpinning for a many-sorted modal logic associated with certain dynamical systems, like transition systems, automata or classes in object-oriented languages. These systems will be described as coalgebras of so-called polynomial functors, built up from constants and identities, using products, coproducts and powersets. The semantical account involves Boolean algebras with operators indexed by polynomial functors, called MBAOs, for Many-sorted Boolean Algebras...

Upsetting the foundations for mathematics

Lawrence Neff Stout (2005)

Philosophia Scientiae

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Starting with a review of the kinds of questions a foundation for mathematics should address, this paper provides a critique of set theoretical foundations, a proposal that multiple interconnected categorical foundations would be an improvement, and a way of recovering set theory within a categorical approach.