03702nam a22005415i 4500 978-3-031-55040-9 DE-He213 20251030112055.0 cr nn 008mamaa 240523s2024 sz | s |||| 0|eng d 9783031550409 978-3-031-55040-9 10.1007/978-3-031-55040-9 doi HF54.5-.56 KJQ bicssc COM039000 bisacsh KJQ thema Trillas, Enric. author. aut http://id.loc.gov/vocabulary/relators/aut 77298 The Genesis of Logic [electronic resource] : Reflections on the Origins, Principles and Paths of Common-sense Reasoning / by Enric Trillas. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XVIII, 110 p. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Fuzzy Management Methods, 2196-4149 1. 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. The 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. Business information services. Logic. 70674 Reasoning. 76426 Business Information Systems. 66184 Logic. 70674 Formal Reasoning. 77299 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031550393 Printed edition: 9783031550416 Printed edition: 9783031550423 Fuzzy Management Methods, 2196-4149 66994 https://doi.org/10.1007/978-3-031-55040-9 ZDB-2-BUM ZDB-2-SXBM 60068 60068