03340nam a22004575i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001500153072001600168072002300184072001500207100007700222245014700299250001800446264006900464300003600533336002600569337002600595338003600621347002400657490004100681505065600722520112101378650003502499650001102534650001502545650003402560650001102594650002202605710003402627773002602661776003602687776003602723776003602759830004102795856004602836978-3-031-55040-9DE-He21320251030112055.0cr nn 008mamaa240523s2024 sz | s |||| 0|eng d a97830315504097 a10.1007/978-3-031-55040-92doi 4aHF54.5-.56 7aKJQ2bicssc 7aCOM0390002bisacsh 7aKJQ2thema1 aTrillas, Enric.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut14aThe Genesis of Logich[electronic resource] :bReflections on the Origins, Principles and Paths of Common-sense Reasoning /cby Enric Trillas. a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024. aXVIII, 110 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aFuzzy Management Methods,x2196-41490 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. 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. 0aBusiness information services. 0aLogic. 0aReasoning.14aBusiness Information Systems.24aLogic.24aFormal Reasoning.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303155039308iPrinted edition:z978303155041608iPrinted edition:z9783031550423 0aFuzzy Management Methods,x2196-414940uhttps://doi.org/10.1007/978-3-031-55040-9