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Book Studies in Constructive Mathematics and Mathematical Logic

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:

Book Studies in Constructive Mathematics and Mathematical Logic

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:

Book Studies in Constructive Mathematics and Mathematical Logic

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 ...

Book Studies in Constructive Mathematics and Mathematical Logic

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:

Book Studies in Constructive Mathematics and Mathematical Logic

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 2014-01-10 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Foundations of Constructive Mathematics

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.

Book STUDIES IN CONSTRUCTIVE MATHEMATICS AND MATHEMATICAL LOGIC  SHORT PAPERS REPORTING RESULTS PRESENTED AT A SEMINAR ON CONSTRUCTIVE MATHEMATICS AND MATHEMATICAL LOGIC

Download or read book STUDIES IN CONSTRUCTIVE MATHEMATICS AND MATHEMATICAL LOGIC SHORT PAPERS REPORTING RESULTS PRESENTED AT A SEMINAR ON CONSTRUCTIVE MATHEMATICS AND MATHEMATICAL LOGIC written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Handbook of Constructive Mathematics

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.

Book Studies in Constructive Mathematics and Mathematical Logic

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:

Book Studies in Constructive Mathematics and Mathematical Logic  Part I  Edited by A O  Slisenko  Translated From Russian

Download or read book Studies in Constructive Mathematics and Mathematical Logic Part I Edited by A O Slisenko Translated From Russian written by A. O. Slisenko (Ed) and published by . This book was released on 1969 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Studies in Constructive Mathematics and Mathematical Logic  Pt  3

Download or read book Studies in Constructive Mathematics and Mathematical Logic Pt 3 written by A.O. Slisenko and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Studies in Constructive Mathematics and Mathematical Logic  Part Ii  Edited by A O  Slisenko  Translated From Russian

Download or read book Studies in Constructive Mathematics and Mathematical Logic Part Ii Edited by A O Slisenko Translated From Russian written by A. O. Slisenko (Ed) and published by . This book was released on 1970 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematics  Logic  and their Philosophies

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.

Book Objects  Structures  and Logics

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.

Book Logic  Construction  Computation

Download or read book Logic Construction Computation written by Ulrich Berger and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last few decades the interest of logicians and mathematicians in constructive and computational aspects of their subjects has been steadily growing, and researchers from disparate areas realized that they can benefit enormously from the mutual exchange of techniques concerned with those aspects. A key figure in this exciting development is the logician and mathematician Helmut Schwichtenberg to whom this volume is dedicated on the occasion of his 70th birthday and his turning emeritus. The volume contains 20 articles from leading experts about recent developments in Constructive set theory, Provably recursive functions, Program extraction, Theories of truth, Constructive mathematics, Classical vs. intuitionistic logic, Inductive definitions, and Continuous functionals and domains.