{"product_id":"the-unprovability-of-consistency-an-essay-in-modal-logic-paperback-9780521092975","title":"The Unprovability of Consistency; An Essay in Modal Logic (Paperback \/ softback) 9780521092975","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Unprovability of Consistency\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAn Essay in Modal Logic\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThe Unprovability of Consistency is concerned with connections between two branches of logic: proof theory and modal logic.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eGeorge Boolos (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521092975, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 8 January 2009\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e196 pages\u003cbr\u003e21.6 x 14 x 1.1 cm, 0.26 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe Unprovability of Consistency is concerned with connections between two branches of logic: proof theory and modal logic. Modal logic is the study of the principles that govern the concepts of necessity and possibility; proof theory is, in part, the study of those that govern provability and consistency. In this book, George Boolos looks at the principles of provability from the standpoint of modal logic. In doing so, he provides two perspectives on a debate in modal logic that has persisted for at least thirty years between the followers of C. I. Lewis and W. V. O. Quine. The author employs semantic methods developed by Saul Kripke in his analysis of modal logical systems. The book will be of interest to advanced undergraduate and graduate students in logic, mathematics and philosophy, as well as to specialists in those fields.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. G and other normal modal propositional logics\u003cbr\u003e 2. Peano Arithmetic\u003cbr\u003e 3. The box as Bew\u003cbr\u003e 4. Some applications of G\u003cbr\u003e 5. Semantics for G and other modal logics\u003cbr\u003e 6. Canonical models\u003cbr\u003e 7. The completeness and decidability of G\u003cbr\u003e 8. Trees for G\u003cbr\u003e 9. Calculating the truth-values of fixed points\u003cbr\u003e 10. Rosser's theorem\u003cbr\u003e 11. The fixed-point theorem\u003cbr\u003e 12. Solovay's completeness theorems\u003cbr\u003e 13. An S4-preserving proof-theoretical treatment of modality\u003cbr\u003e 14. The Craig Interpolation Lemma for G.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical foundations [\u003ca title=\"See our other books on Mathematical foundations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20foundations%20%5BPBC%5D%22\"\u003ePBC\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003267109144,"sku":"9780521092975","price":45.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521092975i_af52b9da-1907-47b2-90e0-fee9e420edc8.jpg?v=1694970486","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-unprovability-of-consistency-an-essay-in-modal-logic-paperback-9780521092975","provider":"Freshly Printed Books","version":"1.0","type":"link"}