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Book Synopsis Metamathematical Investigation of Intuitionistic Arithmetic and Analysis by : Anne S. Troelstra
Download or read book Metamathematical Investigation of Intuitionistic Arithmetic and Analysis written by Anne S. Troelstra and published by Springer Science & Business Media. This book was released on 1973-11-14 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Metamathematical Investigation of Intuitionistic Arithmetic and Analysis by : Anne S. Troelstra
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:
Book Synopsis Metamathematical Investigation of Intuitionistic Arithmetic and Analysis by : Anne S. Troelstra
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:
Book Synopsis Proceedings of a Conference on Operator Theory, Dalhousie University, Halifax, Nova Scotia, April 13 and 14th, 1973 by : Anne Sjerp Troelstra
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:
L. E. J. Brouwer, the founder of mathematical intuitionism, believed that mathematics and its objects must be humanly graspable. He initiated a program rebuilding modern mathematics according to that principle. This book introduces the reader to the mathematical core of intuitionism – from elementary number theory through to Brouwer's uniform continuity theorem – and to the two central topics of 'formalized intuitionism': formal intuitionistic logic, and formal systems for intuitionistic analysis. Building on that, the book proposes a systematic, philosophical foundation for intuitionism that weaves together doctrines about human grasp, mathematical objects and mathematical truth.
Book Synopsis Mathematical Intuitionism by : Carl J. Posy
Download or read book Mathematical Intuitionism written by Carl J. Posy and published by Cambridge University Press. This book was released on 2020-11-12 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: L. E. J. Brouwer, the founder of mathematical intuitionism, believed that mathematics and its objects must be humanly graspable. He initiated a program rebuilding modern mathematics according to that principle. This book introduces the reader to the mathematical core of intuitionism – from elementary number theory through to Brouwer's uniform continuity theorem – and to the two central topics of 'formalized intuitionism': formal intuitionistic logic, and formal systems for intuitionistic analysis. Building on that, the book proposes a systematic, philosophical foundation for intuitionism that weaves together doctrines about human grasp, mathematical objects and mathematical truth.
Book Synopsis A[nne] S[jorp] Troelstra ed. Metamathematical investigation of intuitionistic arithmetic and analysis by :
Download or read book A[nne] S[jorp] Troelstra ed. Metamathematical investigation of intuitionistic arithmetic and analysis written by and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Corrections and Additions to Metamathematical Investigation of Intuitionistic Arithmetic and Analysis by : A. S. Troelstra
Download or read book Corrections and Additions to Metamathematical Investigation of Intuitionistic Arithmetic and Analysis written by A. S. Troelstra and published by . This book was released on 1974 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Intuitionism written by Arend Heyting and published by Elsevier. This book was released on 1966 with total page 159 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 Synopsis Foundations of Constructive Mathematics by : M.J. Beeson
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 Synopsis Metamathematical Investigation of Intitutionistic Arithmetic and Analysis by :
Download or read book Metamathematical Investigation of Intitutionistic Arithmetic and Analysis written by and published by . This book was released on 1973 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: