Download or read book Metamathematical Investigation of Intuitionistic Arithmetic and Analysis written by Anne S. Troelstra and published by Springer. This book was released on 2006-11-15 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Metamathematical Investigation of Intuitionistic Arithmetic and Analysis written by Anne S. Troelstra and published by . This book was released on 2014-01-15 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of a Conference on Operator Theory Dalhousie University Halifax Nova Scotia April 13 and 14th 1973 written by Anne Sjerp Troelstra and published by . This book was released on 1973 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Routledge Encyclopedia of Philosophy Genealogy to Iqbal written by Edward Craig and published by Taylor & Francis. This book was released on 1998 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Foundations of Intuitionistic Mathematics written by Stephen Cole Kleene and published by . This book was released on 1965 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logic from Computer Science written by Yiannis N. Moschovakis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Constructivism in Mathematics Vol 2 written by A.S. Troelstra and published by Elsevier. This book was released on 2014-06-28 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Handbook of Mathematical Logic written by J. Barwise and published by Elsevier. This book was released on 1982-03-01 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Metamathematics of First Order Arithmetic written by Petr Hájek and published by Cambridge University Press. This book was released on 2017-03-02 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: A much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic.
Download or read book Constructivism in Mathematics Vol 1 written by A.S. Troelstra and published by Elsevier. This book was released on 1988-07-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Elements of Intuitionism written by Michael Dummett and published by Oxford University Press. This book was released on 2000 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Harvey Friedman s Research on the Foundations of Mathematics written by L.A. Harrington and published by Elsevier. This book was released on 1985-11-01 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume discusses various aspects of Harvey Friedman's research in the foundations of mathematics over the past fifteen years. It should appeal to a wide audience of mathematicians, computer scientists, and mathematically oriented philosophers.
Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a number of systems of logic which can be considered as alternatives to classical logic. The notion of what counts as an alternative is a somewhat problematic one. There are extreme views on the matter of what is the 'correct' logical system and whether one logical system (e. g. classical logic) can represent (or contain) all the others. The choice of the systems presented in this volume was guided by the following criteria for including a logic as an alternative: (i) the departure from classical logic in accepting or rejecting certain theorems of classical logic following intuitions arising from significant application areas and/or from human reasoning; (ii) the alternative logic is well-established and well-understood mathematically and is widely applied in other disciplines such as mathematics, physics, computer science, philosophy, psychology, or linguistics. A number of other alternatives had to be omitted for the present volume (e. g. recent attempts to formulate so-called 'non-monotonic' reason ing systems). Perhaps these can be included in future extensions of the Handbook of Philosophical Logic. Chapter 1 deals with partial logics, that is, systems where sentences do not always have to be either true or false, and where terms do not always have to denote. These systems are thus, in general, geared towards reasoning in partially specified models. Logics of this type have arisen mainly from philo sophical and linguistic considerations; various applications in theoretical computer science have also been envisaged.
Download or read book Logic Colloquium 80 written by D. van Dalen and published by Elsevier. This book was released on 2009-06-05 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers appearing in this volume are part of those originally intended for presentation at the conference: Logic Colloquium '80 - European Summer Meeting of the Association for Symbolic Logic (A.S.L.) which was to takeplace in Prague, August 24·30, 1980, principally under the auspices of the Czech Academy of Sciences. There were 36 invited speakers from Western and Eastern Europe, Israel, the U.S., and the U.S.S.R. The local organizingcommittee cabled participants on July 15, 1980 to inform them that the meeting was cancelled for technical reasons; a subsequent communication stated that the cancellation was due to unforeseen circumstances lying beyond the controlof the organizing committee. The unexpected cancellation of the Prague meeting was greatly regretted, since so much care, time, and energy had been given to its advance preparation by the local organizing committee as well as by representatives of the A.S.L.and its European Committee. The late date on which cancellation took place required drastic changes of plans by speakers and participants. Last-minute efforts to reschedule the meeting elsewhere in Europe could not be realized.
Download or read book Mathematical Logic and Computation written by Jeremy Avigad and published by Cambridge University Press. This book was released on 2022-09-30 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thorough introduction to the fundamental methods and results in mathematical logic, and its foundational role in computer science.
Download or read book Applied Proof Theory Proof Interpretations and their Use in Mathematics written by Ulrich Kohlenbach and published by Springer Science & Business Media. This book was released on 2008-05-23 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first treatment in book format of proof-theoretic transformations - known as proof interpretations - that focuses on applications to ordinary mathematics. It covers both the necessary logical machinery behind the proof interpretations that are used in recent applications as well as – via extended case studies – carrying out some of these applications in full detail. This subject has historical roots in the 1950s. This book for the first time tells the whole story.
Download or read book Logic for Programming Artificial Intelligence and Reasoning written by Matthias Baaz and published by Springer. This book was released on 2003-06-30 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2002, held in Tbilisi, Georgia in October 2002.The 30 revised full papers presented were carefully reviewed and selected from 68 submissions. Among the topics covered are constraint programming, formal software enginering, formal verification, resolution, unification, proof planning, agent splitting, binary decision diagrams, binding, linear logic, Isabelle theorem prover, guided reduction, etc.
