Click Here to Download: https://ouo.io/1Hm66h5 Concepts of Proof in Mathematics, Philosophy, and Computer Science By: Dieter Probst Publisher: De Gruyter Print ISBN: 9781501510809, 1501510800 eText ISBN: 9781501502644, 1501502646 Edition: 1st Copyright year: 2016 Format: EPUB Available from $ 154.00 USD SKU 9781501502644 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.
