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

Dieter Probst, Peter Schuster (Herausgeber)

eBook Download: PDF | EPUB

2016
384 Seiten
De Gruyter (Verlag)
978-1-5015-0264-4 (ISBN)

Infos

This book provides the reader with research arising from the Humboldt-Kolleg ‘Proof’ held in Bern in fall 2013, which gathered leading experts actively involved with the concept ‘proof’ in philosophy, mathematics and computer science. This volume aims to do justice to the breadth and depth of the subject and presents relevant current conceptions and technical advances featuring ‘proof’ in those fields.

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

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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.

Produkt-Details

• Erscheint lt. Verlag: 25.7.2016
• Reihe/Serie: ISSN
• Reihe/Serie: ISSN
• Reihe/Serie: Ontos Mathematical Logic
• Reihe/Serie: Ontos Mathematical Logic
• Verlagsort: Boston
• Sprache: englisch
• Themenwelt: Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika
• Themenwelt: Geisteswissenschaften ► Philosophie ► Erkenntnistheorie / Wissenschaftstheorie
• Themenwelt: Geisteswissenschaften ► Philosophie ► Logik
• Schlagworte: Mathematical Logic • Mathematische Logik • Philosophie der Mathematik • philosophy of mathematics • theoretical computer science • Theoretische Informatik
• ISBN-10: 1-5015-0264-6 / 1501502646
• ISBN-13: 978-1-5015-0264-4 / 9781501502644