LEADER 03388nam 2200673Ia 450 001 9910810094903321 005 20200520144314.0 010 $a1-281-79523-2 010 $a9786611795238 010 $a88-470-0784-4 024 7 $a10.1007/978-88-470-0784-0 035 $a(CKB)1000000000492810 035 $a(EBL)364108 035 $a(OCoLC)288524368 035 $a(SSID)ssj0000336554 035 $a(PQKBManifestationID)11234065 035 $a(PQKBTitleCode)TC0000336554 035 $a(PQKBWorkID)10279170 035 $a(PQKB)10436149 035 $a(DE-He213)978-88-470-0784-0 035 $a(MiAaPQ)EBC364108 035 $a(Au-PeEL)EBL364108 035 $a(CaPaEBR)ebr10252042 035 $a(CaONFJC)MIL179523 035 $a(PPN)129064246 035 $a(EXLCZ)991000000000492810 100 $a20080304d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aDeduction, computation, experiment $eexploring the effectiveness of proof /$fRossella Lupacchini, Giovanna Corsi (eds.) 205 $a1st ed. 2008. 210 $aBerlin ;$aNew York $cSpringer$dc2008 215 $a1 online resource (287 p.) 300 $aDescription based upon print version of record. 311 $a88-470-0783-6 320 $aIncludes bibliographical references and index. 327 $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. 330 $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. 606 $aEvidence 606 $aLogic 615 0$aEvidence. 615 0$aLogic. 676 $a121.65 676 $a511.3 686 $a100$2sdnb 686 $a5,1$2ssgn 686 $aCC 3200$2rvk 701 $aCorsi$b Giovanna$052880 701 $aLupacchini$b Rossella$0876297 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910810094903321 996 $aDeduction, computation, experiment$94091570 997 $aUNINA