ENGLISH

Concepts of Proof in Mathematics, Philosophy, and Computer Science

By Dieter Probst (editor); Peter Schuster (editor)

Book information

Publisher
de Gruyter
Year
2016
ISBN
9781501502620, 9781501510809
DOI
10.1515/9781501502620
Language
english
Format
PDF
Filesize
2 MB (2143445 bytes)
Series
Ontos Mathematical Logic; 6
Pages
384\384
Library
degruyter.com
Time added
2023-07-24 06:32:20

Description

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.

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