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100 1 _aTrillas, Enric.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_977298
245 1 4 _aThe Genesis of Logic
_h[electronic resource] :
_bReflections on the Origins, Principles and Paths of Common-sense Reasoning /
_cby Enric Trillas.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXVIII, 110 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFuzzy Management Methods,
_x2196-4149
505 0 _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.
520 _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.
650 0 _aBusiness information services.
650 0 _aLogic.
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650 0 _aReasoning.
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650 1 4 _aBusiness Information Systems.
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650 2 4 _aLogic.
_970674
650 2 4 _aFormal Reasoning.
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710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031550393
776 0 8 _iPrinted edition:
_z9783031550416
776 0 8 _iPrinted edition:
_z9783031550423
830 0 _aFuzzy Management Methods,
_x2196-4149
_966994
856 4 0 _uhttps://doi.org/10.1007/978-3-031-55040-9
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