Bøger af Enric Trillas

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.

This book furthers the historical and technical debate by looking at reasoning as the action of language when it is devoted to explaining or foretelling, based on the authors¿ centennial combined experience in fuzzy logic. A simple logical model mixing abductions and deductions is introduced in order to attain speculations, conjectures that may be responsible for induction, and creativity in reasoning. A central point and a dire hypothesis of the book are that such process can be implemented by computation and as such can lead to a new approach to automatic thinking and reasoning. On top of the technical approach, the relationship between reasoning and thinking is also analyzed trying to establish links with notions and concepts of thinkers from the European Middle Age to the current days.This book is recommended to young researchers that are interested in either the scientific or philosophical aspects of computational thinking, and can further the debate between the two approaches.

This book offers an inspiring and naive view on language and reasoning. Written in a discursive style and without too many technicalities, the book presents a number of reflections on the study of reasoning, together with a new perspective on fuzzy logic and Zadeh's "computing with words" grounded in both language and reasoning.

This book introduces readers to fundamental concepts in fuzzy logic.