Foundations of Constructive Mathematics - Metamathematical Studies (Paperback, Softcover reprint of the original 1st ed. 1985)

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."

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 6
Release date:	November 2011
First published:	1985
Authors:	M. J. Beeson
Dimensions:	235 x 155 x 25mm (L x W x T)
Format:	Paperback
Pages:	466
Edition:	Softcover reprint of the original 1st ed. 1985
ISBN-13:	978-3-642-68954-3
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > General Promotions
LSN:	3-642-68954-X
Barcode:	9783642689543

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!