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.
Wijkman and Timberlake , Natural Disasters , 27 . 32. Wijkman and Timberlake , Natural Disasters , 49 . 33. Seager , New State of the Earth Atlas , 121 .
7. Sometimes the things that frighten you the most can be the biggest sources of strength. —Iris Timberlake or Most of us learn as we mature that strength.
28 It is therefore not difficult to reconcile Badiou«s references to historical ... On the one hand, Badiou«s major essays on Rancière all deal with the ...
Bayle offers a similar assessment in a letter to Minutoli: There has just been ... touchant la tran[s]substantiation, et leur conformité avec le calvinisme.
However, acceptance of the deal was driven in part by threats of worse to come should agreement ... see Northern Ireland (St Andrews Agreement) Act 2006, s.
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Take a tour through the mind of America's undiscovered philosopher: Pierce Timberlake. Swimmer in a Dark Sea is a dizzying ride through a dazzling array of profound concepts.
"This collection of works is ambitious, well documented, thoroughly—though not turgidly—referenced, and comprehensively indexed.
The essays in this volume deal with a wide variety of subjects - the essential distinction between the "ecofeminist" and the "ecofeminine," the link between violence and environmental exploitation, feminism's relationship to animal rights ...
6 Davies, Catharine Macaulay and Mercy Otis Warren, 228; Franklin Bowditch Dexter (ed.), The Literary Diary of Ezra Stiles (New York: C. Scribner's Sons, ...