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Incompleteness Deductive Logic Consequences by Kuczynski John Michael (7 results)
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The Incompleteness of Deductive Logic: And Its Consequences for Epistemic Engineering (Paperback or Softback)
Language: English
Published by Zhi Systems 4/3/2026, 2026
ISBN 10: 1968752056 ISBN 13: 9781968752057
Paperback or Softback. Condition: New. The Incompleteness of Deductive Logic: And Its Consequences for Epistemic Engineering. Book.
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Condition: New. Print on Demand.
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Condition: New. Print on Demand.
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Condition: New. PRINT ON DEMAND.
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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.
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Taschenbuch. Condition: Neu. The Incompleteness of Deductive Logic | And Its Consequences for Epistemic Engineering | John-Michael M Kuczynski | Taschenbuch | Englisch | 2026 | Zhi Systems | EAN 9781968752057 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.
