History and Philosophy of Constructive Type Theory, Giovanni Sommaruga

Автор: Peter Schuster; Ulrich Berger; Horst Osswald
Название: Reuniting the Antipodes - Constructive and Nonstandard Views of the Continuum
ISBN: 9048158850 ISBN-13(EAN): 9789048158850
Издательство: Springer
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Описание: Symposion Proceedings, San Servolo, Venice, Italy, May 16-22, 1999

Автор: Giovanni Sommaruga
Название: History and Philosophy of Constructive Type Theory
ISBN: 9048154030 ISBN-13(EAN): 9789048154036
Издательство: Springer
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Описание: A comprehensive survey of Martin-Lof`s constructive type theory, considerable parts of which have only been presented by Martin-Lof in lecture form or as part of conference talks. Readership: Comprehensive accounts of the history and philosophy of constructive type theory and a considerable amount of related material.

Автор: Sergei Odintsov
Название: Constructive Negations and Paraconsistency
ISBN: 9048177448 ISBN-13(EAN): 9789048177448
Издательство: Springer
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Описание: Here is an account of recent investigations into the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity, and the strong negation. These concepts are studied in the setting of paraconsistent logic.

Автор: Giovanni Sommaruga
Название: Foundational Theories of Classical and Constructive Mathematics
ISBN: 9400735618 ISBN-13(EAN): 9789400735613
Издательство: Springer
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Описание: Focusing on the foundations, this volume explores both classical and constructive mathematics. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time both subtle and more differentiated.

Автор: Theo A.F. Kuipers
Название: From Instrumentalism to Constructive Realism
ISBN: 9048153697 ISBN-13(EAN): 9789048153695
Издательство: Springer
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Описание: Surprisingly, modified versions of the confirmation theory (Carnap and Hempel) and truth approximation theory (Popper) turn out to be smoothly sythesizable.

Автор: Anna Horsk?
Название: Where is the G?del-point hiding: Gentzen`s Consistency Proof of 1936 and His Representation of Constructive Ordinals
ISBN: 3319021702 ISBN-13(EAN): 9783319021706
Издательство: Springer
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Описание: This book explains the first published consistency proof of PA. A notable aspect of the proof is the representation of ordinal numbers that was developed by Gentzen. The topic should interest researchers and students who work on proof theory, history of proof theory or Hilbert`s program and who do not mind reading mathematical texts.ГЇВїВЅ