{"product_id":"proof-theory-9780486490731","title":"Proof Theory","description":"Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text explores applications of proof theory to logic as well as other areas of mathematics. Suitable for advanced undergraduates and graduate students of mathematics, this long-out-of-print monograph forms a cornerstone for any library in mathematical logic and related topics.\u003cbr\u003eThe three-part treatment begins with an exploration of first order systems, including a treatment of predicate calculus involving Gentzen's cut-elimination theorem and the theory of natural numbers in terms of G del's incompleteness theorem and Gentzen's consistency proof. The second part, which considers second order and finite order systems, covers simple type theory and infinitary logic. The final chapters address consistency problems with an examination of consistency proofs and their applications.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-1223084\"\u003eGaisi Takeuti\u003c\/a\u003e\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 02\/20\/2013\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 490\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.40lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.90h x 5.90w x 1.10d\u003cbr\u003e\u003cb\u003eISBN13:\u003c\/b\u003e 9780486490731\u003cbr\u003e\u003cb\u003eISBN10:\u003c\/b\u003e 0486490734\u003cbr\u003e\u003cb\u003eBISAC Categories:\u003c\/b\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-MAT\"\u003eMathematics\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-MAT018000\"\u003eLogic\u003c\/a\u003e\u003cbr\u003e\u003cp\u003e\u003ci\u003eThis title is not returnable\u003c\/i\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":42663516668141,"sku":"9780486490731","price":24.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0550\/8097\/6621\/products\/img_571f4f37-6e08-4f28-b154-09af15577b75.jpg?v=1649394251","url":"https:\/\/sureshotbooks.com\/products\/proof-theory-9780486490731","provider":"SureShot Books Publishing LLC","version":"1.0","type":"link"}