LEADER 04882nam 22005415 450 001 9910155330203321 005 20200704094524.0 024 7 $a10.1007/978-3-319-40220-8 035 $a(CKB)3710000000964746 035 $a(DE-He213)978-3-319-40220-8 035 $a(MiAaPQ)EBC4756427 035 $a(PPN)197455816 035 $a(EXLCZ)993710000000964746 100 $a20161202d2016 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLogical Studies of Paraconsistent Reasoning in Science and Mathematics /$fedited by Holger Andreas, Peter Verdée 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (VI, 221 p. 5 illus.) 225 1 $aTrends in Logic, Studia Logica Library,$x1572-6126 ;$v45 311 $a3-319-40218-8 311 $a3-319-40220-X 320 $aIncludes bibliographical references at the end of each chapters. 327 $aChapter 1. Inconsistent Thinking, Fast and Slow; Francesco Berto -- Chapter 2. Recursive functions for paraconsistent reasoners; Zach Weber -- Chapter 3. Instantaneous Contradiction in Motion and Perception: Modeling the Phenomenal Present with a Dialetheic Logic of Time; Corry Shores -- Chapter 4. Saving Proof from Paradox: Against the Inconsistency of Informal Mathematics; Fenner Tanswell.-Chapter 5. Revenge for Berto's Law of Non-Contradiction; Diego Tajer -- Chapter 6. On Coherence and Inconsistency; Martin Pleitz -- Chapter 7. On the Preservation of Reliability; Bryson Brown -- Chapter 8. Inconsistency Handling in the Sciences: Where and How do we Need Paraconsistency?; Joke Meheus -- Chapter 9. Revision-Theoretic Truth and Degrees of Paradoxicality; Cian Chartier -- Chapter 10. Inconsistent Scientific Theories: A Framework; Otavio Bueno -- Chapter 11. Prospects for triviality; Luis Estrada Gonzáles -- Chapter 12. On the interpretation of classical mathematics in naïve set theory; Morgan Thomas -- Chapter 13. Doing Mathematics Paraconsistently. A manifesto.; Maarten McKubre-Jordens -- Chapter 14. Why designate gluts?; Andreas Kapsner -- Chapter 15. On the methodology of paraconsistent logic; Heinrich Wansing and Sergei Odintsov -- Chapter 16. Dynamic proofs for networks of partial structures; Holger Andres and Peter Verdée. 330 $aThis book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientific and mathematical theories. The great variety of paraconsistent logics gives rise to various, interrelated questions, such as what are the desiderata a paraconsistent logic should satisfy, is there prospect of a universal approach to paraconsistent reasoning with axiomatic theories, and to what extent is reasoning about sets structurally analogous to reasoning about truth. Furthermore, the authors consider paraconsistent logic?s status as either a normative or descriptive discipline (or one which falls in between) and which inconsistent but non-trivial axiomatic theories are well understood by which types of paraconsistent approaches. This volume addresses such questions from different perspectives in order to (i) obtain a representative overview of the state of the art in the philosophical debate on paraconsistency, (ii) come up with fresh ideas for the future of paraconsistency, and most importantly (iii) provide paraconsistent logic with a stronger philosophical foundation, taking into account the developments within the different schools of paraconsistency. 410 0$aTrends in Logic, Studia Logica Library,$x1572-6126 ;$v45 606 $aLogic 606 $aLogic, Symbolic and mathematical 606 $aLogic$3https://scigraph.springernature.com/ontologies/product-market-codes/E16000 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 615 0$aLogic. 615 0$aLogic, Symbolic and mathematical. 615 14$aLogic. 615 24$aMathematical Logic and Foundations. 676 $a511.3 702 $aAndreas$b Holger$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aVerdée$b Peter$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910155330203321 996 $aLogical studies of paraconsistent reasoning in science and mathematics$91523428 997 $aUNINA