000			03182nam a22005295i 4500
001			978-88-470-0784-0
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005			20161121230835.0
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008			100301s2008 it | s |||| 0|eng d
020			_a9788847007840 _9978-88-470-0784-0
024	7		_a10.1007/978-88-470-0784-0 _2doi
050		4	_aBC1-199
072		7	_aHPL _2bicssc
072		7	_aPHI011000 _2bisacsh
082	0	4	_a160 _223
245	1	0	_aDeduction, Computation, Experiment _h[electronic resource] : _bExploring the Effectiveness of Proof / _cedited by Rossella Lupacchini, Giovanna Corsi.
264		1	_aMilano : _bSpringer Milan, _c2008.
300			_aXII, 280 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aWhy Proof? What is a Proof? -- On Formal Proofs -- Toy Models in Physics and the Reasonable Effectiveness of Mathematics -- Experimental Methods in Proofs -- Proofs Verifying Programs and Programs Producing Proofs: A Conceptual Analysis -- The Logic of the Weak Excluded Middle: A Case Study of Proof-Search -- Automated Search for Gödel’s Proofs -- Proofs as Efficient Programs -- Quantum Combing -- Proofs instead of Meaning Explanations: Understanding Classical vs Intuitionistic Mathematics from the Outside -- Proof as a Path of Light -- Computability and Incomputability of Differential Equations -- Phenomenology of Incompleteness: From Formal Deductions to Mathematics and Physics.
520			_aWhat is a proof for? What is the characteristic use of a proof as a computation, as opposed to its use as an experiment? What is the relationship between mathematical procedures and natural processes? The essays collected in this volume address such questions from different points of view and will interest students and scholars in several branches of scientific knowledge. Some essays deal with the logical skeleton of deduction, others examine the interplay between natural systems and models of computation, yet others use significant results from the natural sciences to illustrate the character of procedures in applied mathematics. Focusing on relevant conceptual and logical issues underlying the overall quest for proving, the volume seeks to cast light on what the effectiveness of proof rests on.
650		0	_aPhilosophy.
650		0	_aLogic.
650		0	_aPhilosophy of nature.
650		0	_aComputers.
650		0	_aMathematics.
650		0	_aMathematical logic.
650	1	4	_aPhilosophy.
650	2	4	_aLogic.
650	2	4	_aPhilosophy, general.
650	2	4	_aMathematics, general.
650	2	4	_aPhilosophy of Nature.
650	2	4	_aTheory of Computation.
650	2	4	_aMathematical Logic and Foundations.
700	1		_aLupacchini, Rossella. _eeditor.
700	1		_aCorsi, Giovanna. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9788847007833
856	4	0	_uhttp://dx.doi.org/10.1007/978-88-470-0784-0
912			_aZDB-2-SHU
950			_aHumanities, Social Sciences and Law (Springer-11648)
999			_c504751 _d504751