The Incompleteness of Deductive Logic
Language: English
Published by Zhi Systems, 2026
- Softcover
- New

Seller: Rarewaves USA United, HEBRON, KY, U.S.A.Rarewaves USA United
AbeBooks seller since June 20, 2025
Condition: New
£ 16.28
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Add to basketSeller Inventory # LU-9781968752057
- Title
- The Incompleteness of Deductive Logic
- Author
- John-Michael M Kuczynski
- Publisher
- Zhi Systems
- Publication year
- 2026
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1968752056
- ISBN 13
- 9781968752057
- Item weight
- 231 grams
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.
"Synopsis" may belong to another edition of this title.
Rarewaves USA United
HEBRON, KY, U.S.A.
AbeBooks seller since June 20, 2025
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