LEADER 03550nam 22006135 450 001 9910864180103321 005 20250808083610.0 010 $a9783031550409 010 $a3031550404 024 7 $a10.1007/978-3-031-55040-9 035 $a(MiAaPQ)EBC31353442 035 $a(Au-PeEL)EBL31353442 035 $a(CKB)32142947300041 035 $a(DE-He213)978-3-031-55040-9 035 $a(OCoLC)1435802669 035 $a(EXLCZ)9932142947300041 100 $a20240523d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Genesis of Logic $eReflections on the Origins, Principles and Paths of Common-sense Reasoning /$fby Enric Trillas 205 $a1st ed. 2024. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024. 215 $a1 online resource (119 pages) 225 1 $aFuzzy Management Methods,$x2196-4149 311 08$a9783031550393 311 08$a3031550390 327 $a1. Introduction -- Part I: The Skeleton of Reason -- 2. A formal skeleton of reason -- 3. Reason in light of the skeleton -- Part II: The Model of Precise Reasoning -- 4. Boolean algebras come with lots of laws -- 5. With fewer laws: ortho-lattices and De Morgan algebras -- 6. Conjectures on ortho-lattices and De Morgan algebras -- Part III: Models of Imprecise Reasoning -- 7. Meanings and calculations using imprecise concepts -- 8. Fuzzy basic algebras, with fewer and more laws -- 9. On truth and its relationship with inference -- Part iv: Reasoning and Meaning -- 10. The effective possibility of reasoning -- 11. Last comments and conclusion. 330 $aThe Genesis of Logic addresses the principles of common-sense reasoning, which are employed in everyday decision-making processes and extend beyond deductive reasoning alone. Linked to language, logic inherits its flexibility. These are a few laws, the 'formal skeleton of reasoning,' based on the relationship of linguistic inference that, while needing to be represented in each context, allow for the consideration of non-comparable, orthogonal statements. By facilitating deduction and abduction, speculation emerges as a fundamental intellectual operation. As a whole, this work offers a new genetic-evolutionary perspective to reconsider Logic, a panoramic outlook that examines laws outside the skeleton as local laws, necessary for the validity of specialized reasoning. It moves away from the rigid reticular structure of sets of statements and views induction as the search for speculations, non-monotonic reasoning as speculative, and conjecture, only proven in finite Boolean algebras, that reasoning involves following paths of inference in a zigzag pattern, alternating between deduction and abduction. 410 0$aFuzzy Management Methods,$x2196-4149 606 $aBusiness information services 606 $aLogic 606 $aReasoning 606 $aBusiness Information Systems 606 $aLogic 606 $aFormal Reasoning 615 0$aBusiness information services. 615 0$aLogic. 615 0$aReasoning. 615 14$aBusiness Information Systems. 615 24$aLogic. 615 24$aFormal Reasoning. 676 $a658.4038 700 $aTrillas$b E$g(Enric)$061247 701 $aPortmann$b Edy$01064496 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910864180103321 996 $aThe Genesis of Logic$94166376 997 $aUNINA