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Author: A. O. Slisenko
Publisher:
ISBN:
Category : Constructive mathematics
Languages : en
Pages : 116
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Book Description
Author: A. O. Slisenko
Publisher:
ISBN:
Category : Constructive mathematics
Languages : en
Pages : 116
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Book Description
Author: A. O. Slisenko
Publisher:
ISBN: 9781468489699
Category :
Languages : en
Pages : 100
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Book Description
Author: Matematicheskiĭ institut im. V.A. Steklova. Leningradskoe otdelenie
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 136
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Book Description
Author: A. O. Slisenko
Publisher: Springer Science & Business Media
ISBN: 1468489682
Category : Science
Languages : en
Pages : 96
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Book Description
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: 9781489953292
Category : Science
Languages : en
Pages : 136
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Book Description
Author: A. O. Slisenko
Publisher: Springer
ISBN: 9781489956309
Category : Science
Languages : en
Pages : 88
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Book Description
Author: M.J. Beeson
Publisher: Springer Science & Business Media
ISBN: 3642689523
Category : Mathematics
Languages : en
Pages : 484
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Book Description
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: 1316510867
Category : Mathematics
Languages : en
Pages : 863
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Book Description
Gives a complete overview of modern constructive mathematics and its applications through surveys by leading experts.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Mojtaba Mojtahedi
Publisher: Springer Nature
ISBN: 3030536548
Category : Philosophy
Languages : en
Pages : 493
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Book Description
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.
