Intuitionistic Proof Versus Classical Truth

The Role of Brouwer’s Creative Subject in Intuitionistic Mathematics

AvEnrico Martino

Häftad, Engelska, 2018

Del 42 i serien Logic, Epistemology, and the Unity of Science

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Beskrivning

This book examines the role of acts of choice in classical and intuitionistic mathematics.

Produktinformation

Utgivningsdatum:2018-12-22
Mått:155 x 235 x 11 mm
Vikt:289 g
Format:Häftad
Språk:Engelska
Serie:Logic, Epistemology, and the Unity of Science
Antal sidor:170
Förlag:Springer Nature Switzerland AG
ISBN:9783030089719

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Mer om författaren

Enrico Martino was associated professor (now retired) of Logic and Philosophy of Mathematics in the department of Mathematics and, subsequently of FISPPA of the University of Padua. His main interests are Philosophy of Logic and Mathematics.

Recensioner i media

“Anyone with an interest in the murkier aspects of intuitionism will find this book well worth reading.” (Peter Fletcher, Studia Logica, Vol. 107, 2019)

Innehållsförteckning

Brouwer, Dummett and the bar theorem.- Creative subject and bar theorem.- Natural intuitionistic semantics and generalized Beth semantics.- Connection between the principle of inductive evidence and the bar theorem.- On the Brouwerian concept of negative continuity.- Classical and intuitionistic semantical groundedness.- Brouwer’s equivalence between virtual and inextensible order.- An intuitionistic notion of hypothetical truth for which strong completeness intuitionistically holds.- Propositions and judgements in Martin-Löf.- Negationless Intuitionism.- Temporal and atemporal truth in intuitionistic mathematics.- Arbitrary reference in mathematical reasoning.- The priority of arithmetical truth over arithmetical provability.- The impredicativity of the intuitionistic meaning of logical constants.- The intuitionistic meaning of logical constants and fallible models.