{"product_id":"the-incompleteness-of-deductive-logic-john-michael-m-kuczynski-9781968752057","title":"The Incompleteness of Deductive Logic: And Its Consequences for Epistemic Engineering","description":"\u003cp\u003eThis 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e John-Michael M. Kuczynski\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1968752056\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781968752057\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Zhi Systems\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 04\/03\/2026\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 90\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.51lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 11.00h x 8.50w x 0.19d","brand":"John-Michael M. Kuczynski","offers":[{"title":"Paperback","offer_id":48659808878847,"sku":"9781968752057","price":19.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_6850267f-d7cb-4af8-ba03-9712ced0514d.jpg?v=1781203391","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-incompleteness-of-deductive-logic-john-michael-m-kuczynski-9781968752057","provider":"WR Book House","version":"1.0","type":"link"}