{"product_id":"the-principles-of-mathematics-revisited-paperback-9780521624985","title":"The Principles of Mathematics Revisited (Paperback) 9780521624985","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Principles of Mathematics Revisited\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eHintikka proposes a new logic and uses it to explore the foundations of mathematics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJaakko Hintikka (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521624985, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 28 April 1998\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e304 pages\u003cbr\u003e21.6 x 14 x 2.2 cm, 0.39 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'Hintikka's new logic is highly original and will prove appealing to logicians, philosophers of mathematics, and mathematicians concerned with the foundations of the discipline.' Studia Logica\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book, written by one of philosophy's pre-eminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. The famous impossibility results by Gödel and Tarski that have dominated the field for the last sixty years turn out to be much less significant than has been thought. All of ordinary mathematics can in principle be done on this first-order level, thus dispensing with the existence of sets and other higher-order entities.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. The functions of logic and the problem of truth definition\u003cbr\u003e 2. The game of logic\u003cbr\u003e 3. Frege's fallacy foiled: Independence-friendly logic\u003cbr\u003e 4. The joys of independence: Some uses of IF logic\u003cbr\u003e 5. The complexities of completeness\u003cbr\u003e 6. Who's afraid of Alfred Tarski? Truth-definitions for IF first-order languages\u003cbr\u003e 7. The liar belied: negation in IF logic\u003cbr\u003e 8. Axiomatic set theory: Frankenstein's monster?\u003cbr\u003e 9. IF logic as a framework for mathematical theorizing\u003cbr\u003e 10. Constructivism reconstructed\u003cbr\u003e 11. The epistemology of mathematical objects.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Philosophy of mathematics [\u003ca title=\"See our other books on Philosophy of mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy%20of%20mathematics%20%5BPBB%5D%22\"\u003ePBB\u003c\/a\u003e], Social \u0026amp; political philosophy [\u003ca title=\"See our other books on Social \u0026amp; political philosophy\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Social%20\u0026amp;%20political%20philosophy%20%5BHPS%5D%22\"\u003eHPS\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":46003930628376,"sku":"9780521624985","price":26.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521624985i_86910381-fd61-496e-80b1-6c7523315f36.jpg?v=1691370689","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-principles-of-mathematics-revisited-paperback-9780521624985","provider":"Freshly Printed Books","version":"1.0","type":"link"}