Concepts of Proof in Mathematics, Philosophy, and Computer Science (Hardcover)

A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs have proved to be a rich source for already certified algorithms. This book provides the reader with a collection of articles covering relevant current research topics circled around the concept 'proof'. It tries to give due consideration to the depth and breadth of the subject by discussing its philosophical and methodological aspects, addressing foundational issues induced by Hilbert's Programme and the benefits of the arising formal notions of proof, without neglecting reasoning in natural language proofs and applications in computer science such as program extraction.

General

Imprint:	De Gruyter
Country of origin:	United States
Series:	Ontos Mathematical Logic
Release date:	July 2016
First published:	2016
Editors:	Dieter Probst • Peter Schuster
Dimensions:	230 x 155mm (L x W)
Format:	Hardcover - Cloth over boards
Pages:	384
ISBN-13:	978-1-5015-1080-9
Categories:	Books > Humanities > Philosophy > Topics in philosophy > Epistemology, theory of knowledge Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Philosophy > Topics in philosophy > Epistemology, theory of knowledge Books > Philosophy > Topics in philosophy > Logic Promotions
LSN:	1-5015-1080-0
Barcode:	9781501510809

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