The Constructive Arithmetic
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The Constructive Arithmetic
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Author : James A. Christie
language : en
Publisher:
Release Date : 1865
The Constructive Arithmetic written by James A. Christie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1865 with categories.
The Constructive Arithmetic
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Author : James A Christie
language : en
Publisher: Palala Press
Release Date : 2016-06-21
The Constructive Arithmetic written by James A Christie and has been published by Palala Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with categories.
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Varieties Of Constructive Mathematics
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Author : Douglas Bridges
language : en
Publisher: Cambridge University Press
Release Date : 1987-04-24
Varieties Of Constructive Mathematics written by Douglas Bridges and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-04-24 with Mathematics categories.
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.
The Constructive Arithmetic A School Treatise Developing A New Method Of Teaching Etc
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Author : James A. Christie
language : en
Publisher:
Release Date : 1865
The Constructive Arithmetic A School Treatise Developing A New Method Of Teaching Etc written by James A. Christie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1865 with categories.
Foundations Of Constructive Mathematics
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Author : M.J. Beeson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Foundations Of Constructive Mathematics written by M.J. Beeson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Truth Proof And Infinity
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Author : P. Fletcher
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Truth Proof And Infinity written by P. Fletcher and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Philosophy categories.
Constructive mathematics is based on the thesis that the meaning of a mathematical formula is given, not by its truth-conditions, but in terms of what constructions count as a proof of it. However, the meaning of the terms `construction' and `proof' has never been adequately explained (although Kriesel, Goodman and Martin-Löf have attempted axiomatisations). This monograph develops precise (though not wholly formal) definitions of construction and proof, and describes the algorithmic substructure underlying intuitionistic logic. Interpretations of Heyting arithmetic and constructive analysis are given. The philosophical basis of constructivism is explored thoroughly in Part I. The author seeks to answer objections from platonists and to reconcile his position with the central insights of Hilbert's formalism and logic. Audience: Philosophers of mathematics and logicians, both academic and graduate students, particularly those interested in Brouwer and Hilbert; theoretical computer scientists interested in the foundations of functional programming languages and program correctness calculi.
Essays In Constructive Mathematics
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Author : Harold M. Edwards
language : en
Publisher: Springer Nature
Release Date : 2022-09-29
Essays In Constructive Mathematics written by Harold M. Edwards and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-29 with Mathematics categories.
Contents and treatment are fresh and very different from the standard treatments Presents a fully constructive version of what it means to do algebra The exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader
Studies In Constructive Mathematics And Mathematical Logic
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Author : A. O. Slisenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Studies In Constructive Mathematics And Mathematical Logic written by A. O. Slisenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
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 ...
The Constructive Arithmetic A School Treatise Developing A New Method Of Teaching From Principles In Preference To Dogmatic Rules The Science And Art Of Computation With Upwards Of Eight Thousand Examples For Practice
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Author : James A. Christie
language : en
Publisher:
Release Date : 1865
The Constructive Arithmetic A School Treatise Developing A New Method Of Teaching From Principles In Preference To Dogmatic Rules The Science And Art Of Computation With Upwards Of Eight Thousand Examples For Practice written by James A. Christie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1865 with Arithmetic categories.
A Treatise On Mathematics As Applied To The Constructive Arts Etc
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Author : Francis Campin
language : en
Publisher:
Release Date : 1872
A Treatise On Mathematics As Applied To The Constructive Arts Etc written by Francis Campin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1872 with categories.