LEADER 05047nam 22006255 450 001 9910735395303321 005 20200919023024.0 010 $a94-007-6091-4 024 7 $a10.1007/978-94-007-6091-2 035 $a(CKB)2670000000433218 035 $a(EBL)1106144 035 $a(SSID)ssj0001049610 035 $a(PQKBManifestationID)11682098 035 $a(PQKBTitleCode)TC0001049610 035 $a(PQKBWorkID)11018636 035 $a(PQKB)11498044 035 $a(DE-He213)978-94-007-6091-2 035 $a(MiAaPQ)EBC1106144 035 $a(PPN)176128158 035 $a(EXLCZ)992670000000433218 100 $a20131009d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRethinking Logic: Logic in Relation to Mathematics, Evolution, and Method$b[electronic resource] /$fby Carlo Cellucci 205 $a1st ed. 2013. 210 1$aDordrecht :$cSpringer Netherlands :$cImprint: Springer,$d2013. 215 $a1 online resource (391 p.) 225 1 $aLogic, Argumentation & Reasoning, Interdisciplinary Perspectives from the Humanities and Social Sciences,$x2214-9120 300 $aDescription based upon print version of record. 311 $a94-007-6090-6 320 $aIncludes bibliographies and index. 327 $aPreface -- Chapter 1. Introduction -- Part I. Ancient Perspectives -- Chapter 2. The Origin of Logic -- Chapter 3. Ancient Logic and Science -- Chapter 4. The Analytic Method -- Chapter 5. The Analytic-Synthetic Method -- Chapter 6. Aristotle's Logic: The Deductivist View -- Chapter 7. Aristotle's Logic: The Heuristic View -- Part II. Modern Perspectives -- Chapter 8. The Method of Modern Science -- Chapter 9. The Quest for a Logic of Discovery -- Chapter 10. Frege's Approach to Logic -- Chapter 11. Gentzen's Approach to Logic -- Chapter 12. The Limitations of Mathematical Logic -- Chapter 13. Logic, Method, and the Psychology of Discovery -- Part III: An Alternative Perspective -- Chapter 14. Reason and Knowledge -- Chapter 15. Reason, Knowledge and Emotion -- Chapter 16. Logic, Evolution, Language and Reason -- Chapter 17. Logic, Method and Knowledge -- Chapter 18. Classifying and Justifying Inference Rules -- Chapter 19. Philosophy and Knowledge -- Part IV: Rules of Discovery -- Chapter 20. Induction and Analogy -- Chapter 21. Other Rules of Discovery -- Chapter 22. Conclusion -- References -- Name Index -- Subject Index. 330 $aThis volume examines the limitations of mathematical logic and proposes a new approach to logic intended to overcome them. To this end, the book compares mathematical logic with earlier views of logic, both in the ancient and in the modern age, including those of Plato, Aristotle, Bacon, Descartes, Leibniz, and Kant. From the comparison it is apparent that a basic limitation of mathematical logic is that it narrows down the scope of logic confining it to the study of deduction, without providing tools for discovering anything new. As a result, mathematical logic has had little impact on scientific practice. Therefore, this volume proposes a view of logic according to which logic is intended, first of all, to provide rules of discovery, that is, non-deductive rules for finding hypotheses to solve problems. This is essential if logic is to play any relevant role in mathematics, science and even philosophy. To comply with this view of logic, this volume formulates several rules of discovery, such as induction, analogy, generalization, specialization, metaphor, metonymy, definition, and diagrams. A logic based on such rules is basically a logic of discovery, and involves a new view of the relation of logic to evolution, language, reason, method and knowledge, particularly mathematical knowledge. It also involves a new view of the relation of philosophy to knowledge. This book puts forward such new views, trying to open again many doors that the founding fathers of mathematical logic had closed historically. 410 0$aLogic, Argumentation & Reasoning, Interdisciplinary Perspectives from the Humanities and Social Sciences,$x2214-9120 606 $aLogic 606 $aMathematical logic 606 $aPhilosophy 606 $aLogic$3https://scigraph.springernature.com/ontologies/product-market-codes/E16000 606 $aMathematical Logic and Formal Languages$3https://scigraph.springernature.com/ontologies/product-market-codes/I16048 606 $aHistory of Philosophy$3https://scigraph.springernature.com/ontologies/product-market-codes/E15000 615 0$aLogic. 615 0$aMathematical logic. 615 0$aPhilosophy. 615 14$aLogic. 615 24$aMathematical Logic and Formal Languages. 615 24$aHistory of Philosophy. 676 $a160 700 $aCellucci$b Carlo$4aut$4http://id.loc.gov/vocabulary/relators/aut$045650 906 $aBOOK 912 $a9910735395303321 996 $aRethinking Logic: Logic in Relation to Mathematics, Evolution, and Method$93412412 997 $aUNINA