Metamathematical Investigation Of Intuitionistic Arithmetic And Analysis
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Metamathematical Investigation Of Intuitionistic Arithmetic And Analysis
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Author : Anne S. Troelstra
language : en
Publisher: Springer
Release Date : 2006-11-15
Metamathematical Investigation Of Intuitionistic Arithmetic And Analysis written by Anne S. Troelstra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Metamathematical Investigation Of Intuitionistic Arithmetic And Analysis
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Author : Anne S. Troelstra
language : en
Publisher:
Release Date : 2014-01-15
Metamathematical Investigation Of Intuitionistic Arithmetic And Analysis written by Anne S. Troelstra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Proceedings Of A Conference On Operator Theory Dalhousie University Halifax Nova Scotia April 13 And 14th 1973
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Author : Anne Sjerp Troelstra
language : en
Publisher:
Release Date : 1973
Proceedings Of A Conference On Operator Theory Dalhousie University Halifax Nova Scotia April 13 And 14th 1973 written by Anne Sjerp Troelstra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Intuitionistic mathematics categories.
The Foundations Of Intuitionistic Mathematics
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Author : Stephen Cole Kleene
language : en
Publisher:
Release Date : 1965
The Foundations Of Intuitionistic Mathematics written by Stephen Cole Kleene and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Intuitionistic mathematics categories.
Routledge Encyclopedia Of Philosophy Genealogy To Iqbal
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Author : Edward Craig
language : en
Publisher: Taylor & Francis
Release Date : 1998
Routledge Encyclopedia Of Philosophy Genealogy To Iqbal written by Edward Craig and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Philosophy categories.
Volume four of a ten volume set which provides full and detailed coverage of all aspects of philosophy, including information on how philosophy is practiced in different countries, who the most influential philosophers were, and what the basic concepts are.
Constructivism In Mathematics
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Author : A.S. Troelstra
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Constructivism In Mathematics written by A.S. Troelstra and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras. The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and theories of operators. Discussions focus on intuitionistic finite-type arithmetic, theories of operators and classes, rings and modules, linear algebra, polynomial rings, fields and local rings, complete separable metric spaces, and located sets. The text then examines proof theory of intuitionistic logic, theory of types and constructive set theory, and choice sequences. The book elaborates on semantical completeness, sheaves, sites, and higher-order logic, and applications of sheaf models. Topics include a derived rule of local continuity, axiom of countable choice, forcing over sites, sheaf models for higher-order logic, and complete Heyting algebras. The publication is a valuable reference for mathematicians and researchers interested in mathematics and logic.
Logic From Computer Science
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Author : Yiannis N. Moschovakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Logic From Computer Science written by Yiannis N. Moschovakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The volume is the outgrowth of a workshop with the same title held at MSRI in the week of November 13-17, 1989, and for those who did not get it, Logic from Computer Science is the converse of Logic in Computer Science, the full name of the highly successful annual LICS conferences. We meant to have a conference which would bring together the LICS commu nity with some of the more traditional "mathematical logicians" and where the emphasis would be on the flow of ideas from computer science to logic rather than the other way around. In a LICS talk, sometimes, the speaker presents a perfectly good theorem about (say) the A-calculus or finite model theory in terms of its potential applications rather than its (often more ob vious) intrinsic, foundational interest and intricate proof. This is not meant to be a criticism; the LICS meetings are, after all, organized by the IEEE Computer Society. We thought, for once, it would be fun to see what we would get if we asked the speakers to emphasize the relevance of their work for logic rather than computer science and to point out what is involved in the proofs. I think, mostly, it worked. In any case, the group of people represented as broad a selection of logicians as I have seen in recent years, and the quality of the talks was (in my view) exceptionally, unusually high. I learned a lot and (I think) others did too.
Metamathematics Of First Order Arithmetic
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Author : Petr Hájek
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02
Metamathematics Of First Order Arithmetic written by Petr Hájek and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.
A much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic.
Constructivism In Mathematics Vol 1
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Author : A.S. Troelstra
language : en
Publisher: Elsevier
Release Date : 1988-07-01
Constructivism In Mathematics Vol 1 written by A.S. Troelstra and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-07-01 with Computers categories.
These two volumes cover the principal approaches to constructivism in mathematics. They present a thorough, up-to-date introduction to the metamathematics of constructive mathematics, paying special attention to Intuitionism, Markov's constructivism and Martin-Lof's type theory with its operational semantics. A detailed exposition of the basic features of constructive mathematics, with illustrations from analysis, algebra and topology, is provided, with due attention to the metamathematical aspects. Volume 1 is a self-contained introduction to the practice and foundations of constructivism, and does not require specialized knowledge beyond basic mathematical logic. Volume 2 contains mainly advanced topics of a proof-theoretical and semantical nature.
Elements Of Intuitionism
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Author : Michael Dummett
language : en
Publisher: Oxford University Press
Release Date : 2000
Elements Of Intuitionism written by Michael Dummett and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This is a long-awaited new edition of one of the best known Oxford Logic Guides. The book gives an informal but thorough introduction to intuitionistic mathematics, leading the reader gently through the fundamental mathematical and philosophical concepts. The treatment of various topics has been completely revised for this second edition. Brouwer's proof of the Bar Theorem has been reworked, the account of valuation systems simplified, and the treatment of generalized Beth Trees and the completeness of intuitionistic first-order logic rewritten. Readers are assumed to have some knowledge of classical formal logic and a general awareness of the history of intuitionism.