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Concepts of Proof in Mathematics, Philosophy, and Computer Science

Ed. by Probst, Dieter / Schuster, Peter

Series:Ontos Mathematical Logic 6

    109,95 € / $154.00 / £100.00*

    eBook (PDF)
    Publication Date:
    July 2016
    Copyright year:
    2016
    ISBN
    978-1-5015-0262-0
    See all formats and pricing

    Overview

    Aims and Scope

    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.

    Details

    x, 374 pages
    Language:
    English
    Type of Publication:
    Collection
    Keyword(s):
    Mathematical Logic; Philosophy of Mathematics; Theoretical Computer Science

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    Dieter Probst, Inst. of Computer Science, U. Bern, Switzerland.
    Peter Schuster, Dept. of Computer Science, U. Verona, Italy.

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