Metamathematical Investigation of Intuitionistic Arithmetic and Analysis PDF Download
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Author: Anne S. Troelstra
Publisher: Springer
ISBN: 3540378065
Category : Mathematics
Languages : en
Pages : 518
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Book Description
Author: Anne S. Troelstra
Publisher: Springer
ISBN: 3540378065
Category : Mathematics
Languages : en
Pages : 518
Get Book
Book Description
Author: Anne S. Troelstra
Publisher:
ISBN: 9783662210352
Category :
Languages : en
Pages : 508
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Book Description
Author: Anne Sjerp Troelstra
Publisher:
ISBN: 9780387064918
Category : Intuitionistic mathematics
Languages : en
Pages : 228
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Book Description
Author: Edward Craig
Publisher: Taylor & Francis
ISBN: 9780415187091
Category : Philosophy
Languages : en
Pages : 896
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Book Description
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.
Author: Stephen Cole Kleene
Publisher:
ISBN:
Category : Intuitionistic mathematics
Languages : en
Pages : 222
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Book Description
Author: Yiannis N. Moschovakis
Publisher: Springer Science & Business Media
ISBN: 1461228220
Category : Mathematics
Languages : en
Pages : 607
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Book Description
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.
Author: A.S. Troelstra
Publisher: Elsevier
ISBN: 008095510X
Category : Mathematics
Languages : en
Pages : 129
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Book Description
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.
Author: J. Barwise
Publisher: Elsevier
ISBN: 0080933645
Category : Computers
Languages : en
Pages : 1164
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Book Description
The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.
Author: Petr Hájek
Publisher: Cambridge University Press
ISBN: 1107168414
Category : Mathematics
Languages : en
Pages : 475
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Book Description
A much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic.
Author: A.S. Troelstra
Publisher: Elsevier
ISBN: 0080570887
Category : Computers
Languages : en
Pages : 378
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Book Description
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.
