The Incompleteness of Deductive Logic: And Its Consequences for Epistemic Engineering - Couverture souple

Kuczynski, John-Michael M

 
9781968752057: The Incompleteness of Deductive Logic: And Its Consequences for Epistemic Engineering
Couverture souple
ISBN 10 : 1968752056 ISBN 13 : 9781968752057
Editeur : Zhi Systems, 2026

Synopsis

This book proves a new theorem in recursion theory with major consequences for logic, philosophy, AI, and epistemic engineering. The main result is that the class of all recursive, truth-preserving deductive logics is not recursively enumerable-no algorithm can list all possible formal systems. This strengthens Gödel: incompleteness does not just block any single system from capturing all truths; it prevents recursion itself from surveying the space of formal systems. The core philosophical payoff is overturning the long-standing but false assumption that rationality = recursivity. Rational thought includes both recursive rule-following and non-recursive pattern-recognition capacities, and neither can be reduced to the other. This insight dissolves classical problems (induction, rule-following, foundationalism), explains why GOFAI failed, clarifies why neural networks succeed, and reframes mathematical and linguistic understanding as non-recursive pattern-based cognition. As a result, epistemic engineering-the design of systems that expand, stabilize, and operationalize human knowledge-must integrate non-recursive rational mechanisms rather than treating rationality as algorithmic.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Zhi Systems
Date d'édition
2026
Langue
anglais
ISBN 10 
1968752056
ISBN 13 
9781968752057
Reliure
Broché
Nombre de pages
90
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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