Axiomatic Thinking I

Axiomatic Thinking I

Ferreira, Fernando; Sommaruga, Giovanni; Kahle, Reinhard

Springer Nature Switzerland AG

10/2022

205

Dura

Inglês

9783030776565

15 a 20 dias

Volume 1: History and Philosophy.- Axiomatisches Denken.- Part I: History and Philosophy.- Hilbert's Axiomatisches Denken.- Scope and Limits of Axiomatics.- The Semantic Function of the Axiomatic Method.- Aristotle's Relations: An Interpretation in Combinatory Logic.- The Two Sides of Modern Axiomatics: Dedekind and Peano, Hilbert and Bourbaki.- Notes for a Seminar in Axiomatic Reasoning.- Axiomatic Thinking, Identity of Proofs and the Quest for an Intensional Proof-Theoretic Semantics.- Proofs as Objects.- Where Do Axioms Come From?.- Panel Discussion on the Foundations of Mathematics.
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mathematical logic;foundations of mathematics;history of mathematics and logic;philosophy of mathematics and logic;general philosophy of science