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Author : A. O. Slisenko
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.X/5 (1 download)
Download or read book Studies in Constructive Mathematics and Mathematical Logic written by A. O. Slisenko and published by . This book was released on 1971 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. O. Slisenko
Publisher :
ISBN 13 : 9781468489699
Total Pages : 100 pages
Book Rating : 4.4/5 (896 download)
Download or read book Studies in Constructive Mathematics and Mathematical Logic written by A. O. Slisenko and published by . This book was released on 2014-01-15 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matematicheskiĭ institut im. V.A. Steklova. Leningradskoe otdelenie
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (499 download)
Download or read book Studies in Constructive Mathematics and Mathematical Logic written by Matematicheskiĭ institut im. V.A. Steklova. Leningradskoe otdelenie and published by . This book was released on 1969 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. O. Slisenko
Publisher : Springer
ISBN 13 : 9781489953292
Total Pages : 136 pages
Book Rating : 4.9/5 (532 download)
Download or read book Studies in Constructive Mathematics and Mathematical Logic written by A. O. Slisenko and published by Springer. This book was released on 2014-01-11 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. O. Slisenko
Publisher : Springer Science & Business Media
ISBN 13 : 1468489682
Total Pages : 96 pages
Book Rating : 4.4/5 (684 download)
Download or read book Studies in Constructive Mathematics and Mathematical Logic written by A. O. Slisenko and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a number of short papers reporting results presented to the Leningrad Seminar on Constructive Mathematics or to the Leningrad Seminar on Mathematical Logic. As a rule, the notes do not contain detailed proofs. Complete explanations will be printed in the Trudy (Transac tions) of the V.A. Steklov Mathematics Institute AN SSSR (in the "Problems of Constructive Direction in Mathematics" and the "Mathematical Logic and Logical Calculus" series). The papers published herein are primarily from the constructive direction in mathematics. A. Slisenko v CONTENTS 1 Method of Establishing Deducibility in Classical Predicate Calculus ... G.V. Davydov 5 On the Correction of Unprovable Formulas ... G.V. Davydov Lebesgue Integral in Constructive Analysis ... 9 O. Demuth Sufficient Conditions of Incompleteness for the Formalization of Parts of Arithmetic ... 15 N.K. Kosovskii Normal Formfor Deductions in Predicate Calculus with Equality and Functional Symbols. ... 21 V.A. Lifshits Some Reduction Classes and Undecidable Theories. ... . 24 ... V.A. Lifshits Deductive Validity and Reduction Classes. ... 26 ... V.A. Lifshits Problem of Decidability for Some Constructive Theories of Equalities. ... 29 . . V.A. Lifshits On Constructive Groups. ... . . 32 ... V.A. Lifshits Invertible Sequential Variant of Constructive Predicate Calculus. ... . 36 . S. Yu. Maslov Choice of Terms in Quantifier Rules of Constructive Predicate Calculus .. 43 G.E. Mints Analog of Herbrand's Theorem for Prenex Formulas of Constructive Predicate Calculus .. 47 G.E. Mints Variation in the Deduction Search Tactics in Sequential Calculus ... 52 ... G.E. Mints Imbedding Operations Associated with Kripke's "Semantics" ... 60 ...
Author : A. O. Slisenko
Publisher : Springer
ISBN 13 : 9781489956309
Total Pages : 88 pages
Book Rating : 4.9/5 (563 download)
Download or read book Studies in Constructive Mathematics and Mathematical Logic written by A. O. Slisenko and published by Springer. This book was released on 2014-09-12 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M.J. Beeson
Publisher : Springer Science & Business Media
ISBN 13 : 3642689523
Total Pages : 484 pages
Book Rating : 4.6/5 (426 download)
Download or read book Foundations of Constructive Mathematics written by M.J. Beeson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about some recent work in a subject usually considered part of "logic" and the" foundations of mathematics", but also having close connec tions with philosophy and computer science. Namely, the creation and study of "formal systems for constructive mathematics". The general organization of the book is described in the" User's Manual" which follows this introduction, and the contents of the book are described in more detail in the introductions to Part One, Part Two, Part Three, and Part Four. This introduction has a different purpose; it is intended to provide the reader with a general view of the subject. This requires, to begin with, an elucidation of both the concepts mentioned in the phrase, "formal systems for constructive mathematics". "Con structive mathematics" refers to mathematics in which, when you prove that l a thing exists (having certain desired properties) you show how to find it. Proof by contradiction is the most common way of proving something exists without showing how to find it - one assumes that nothing exists with the desired properties, and derives a contradiction. It was only in the last two decades of the nineteenth century that mathematicians began to exploit this method of proof in ways that nobody had previously done; that was partly made possible by the creation and development of set theory by Georg Cantor and Richard Dedekind.
Author : Douglas Bridges
Publisher : Cambridge University Press
ISBN 13 : 1316510867
Total Pages : 863 pages
Book Rating : 4.3/5 (165 download)
Download or read book Handbook of Constructive Mathematics written by Douglas Bridges and published by Cambridge University Press. This book was released on 2023-03-31 with total page 863 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives a complete overview of modern constructive mathematics and its applications through surveys by leading experts.
Download or read book Studies in Constructive Mathematics and Mathematical Logic written by and published by . This book was released on 1969 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mojtaba Mojtahedi
Publisher : Springer Nature
ISBN 13 : 3030536548
Total Pages : 493 pages
Book Rating : 4.0/5 (35 download)
Download or read book Mathematics, Logic, and their Philosophies written by Mojtaba Mojtahedi and published by Springer Nature. This book was released on 2021-02-09 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of essays in honour of Professor Mohammad Ardeshir. It examines topics which, in one way or another, are connected to the various aspects of his multidisciplinary research interests. Based on this criterion, the book is divided into three general categories. The first category includes papers on non-classical logics, including intuitionistic logic, constructive logic, basic logic, and substructural logic. The second category is made up of papers discussing issues in the contemporary philosophy of mathematics and logic. The third category contains papers on Avicenna’s logic and philosophy. Mohammad Ardeshir is a full professor of mathematical logic at the Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, where he has taught generations of students for around a quarter century. Mohammad Ardeshir is known in the first place for his prominent works in basic logic and constructive mathematics. His areas of interest are however much broader and include topics in intuitionistic philosophy of mathematics and Arabic philosophy of logic and mathematics. In addition to numerous research articles in leading international journals, Ardeshir is the author of a highly praised Persian textbook in mathematical logic. Partly through his writings and translations, the school of mathematical intuitionism was introduced to the Iranian academic community.
Author : Gianluigi Oliveri
Publisher : Springer Nature
ISBN 13 : 3030847063
Total Pages : 365 pages
Book Rating : 4.0/5 (38 download)
Download or read book Objects, Structures, and Logics written by Gianluigi Oliveri and published by Springer Nature. This book was released on 2022-03-08 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited collection casts light on central issues within contemporary philosophy of mathematics such as the realism/anti-realism dispute; the relationship between logic and metaphysics; and the question of whether mathematics is a science of objects or structures. The discussions offered in the papers involve an in-depth investigation of, among other things, the notions of mathematical truth, proof, and grounding; and, often, a special emphasis is placed on considerations relating to mathematical practice. A distinguishing feature of the book is the multicultural nature of the community that has produced it. Philosophers, logicians, and mathematicians have all contributed high-quality articles which will prove valuable to researchers and students alike.
Author : Jon Barwise
Publisher : North-Holland
ISBN 13 :
Total Pages : 1188 pages
Book Rating : 4.3/5 (91 download)
Download or read book Handbook of Mathematical Logic written by Jon Barwise and published by North-Holland. This book was released on 1977 with total page 1188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steven Rudich, Avi Wigderson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886922
Total Pages : 410 pages
Book Rating : 4.8/5 (869 download)
Download or read book Computational Complexity Theory written by Steven Rudich, Avi Wigderson and published by American Mathematical Soc.. This book was released on with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Complexity Theory is the study of how much of a given resource is required to perform the computations that interest us the most. Four decades of fruitful research have produced a rich and subtle theory of the relationship between different resource measures and problems. At the core of the theory are some of the most alluring open problems in mathematics. This book presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on computational complexity. The first week gives a general introduction to the field, including descriptions of the basic mo.
Author : Petio P. Petkov
Publisher : Springer
ISBN 13 :
Total Pages : 462 pages
Book Rating : 4.:/5 (44 download)
Download or read book Mathematical Logic written by Petio P. Petkov and published by Springer. This book was released on 1990-08-31 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Douglas Bridges
Publisher : Cambridge University Press
ISBN 13 : 9780521318020
Total Pages : 164 pages
Book Rating : 4.3/5 (18 download)
Download or read book Varieties of Constructive Mathematics written by Douglas Bridges and published by Cambridge University Press. This book was released on 1987-04-24 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of constructive approaches to pure mathematics emphasizing the viewpoint of Errett Bishop's school. Considers intuitionism, Russian constructivism, and recursive analysis, with comparisons among the various approaches included where appropriate.
Author : Laura Crosilla
Publisher : Clarendon Press
ISBN 13 : 0191524204
Total Pages : 372 pages
Book Rating : 4.1/5 (915 download)
Download or read book From Sets and Types to Topology and Analysis written by Laura Crosilla and published by Clarendon Press. This book was released on 2005-10-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited collection bridges the foundations and practice of constructive mathematics and focusses on the contrast between the theoretical developments, which have been most useful for computer science (eg constructive set and type theories), and more specific efforts on constructive analysis, algebra and topology. Aimed at academic logicians, mathematicians, philosophers and computer scientists Including, with contributions from leading researchers, it is up-to-date, highly topical and broad in scope. This is the latest volume in the Oxford Logic Guides, which also includes: 41. J.M. Dunn and G. Hardegree: Algebraic Methods in Philosophical Logic 42. H. Rott: Change, Choice and Inference: A study of belief revision and nonmonotoic reasoning 43. Johnstone: Sketches of an Elephant: A topos theory compendium, volume 1 44. Johnstone: Sketches of an Elephant: A topos theory compendium, volume 2 45. David J. Pym and Eike Ritter: Reductive Logic and Proof Search: Proof theory, semantics and control 46. D.M. Gabbay and L. Maksimova: Interpolation and Definability: Modal and Intuitionistic Logics 47. John L. Bell: Set Theory: Boolean-valued models and independence proofs, third edition
Author : Johan Georg Granström
Publisher : Springer Science & Business Media
ISBN 13 : 9400717369
Total Pages : 198 pages
Book Rating : 4.4/5 (7 download)
Download or read book Treatise on Intuitionistic Type Theory written by Johan Georg Granström and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intuitionistic type theory can be described, somewhat boldly, as a partial fulfillment of the dream of a universal language for science. This book expounds several aspects of intuitionistic type theory, such as the notion of set, reference vs. computation, assumption, and substitution. Moreover, the book includes philosophically relevant sections on the principle of compositionality, lingua characteristica, epistemology, propositional logic, intuitionism, and the law of excluded middle. Ample historical references are given throughout the book.
