{"product_id":"fast-track-to-forcing-hardback-9781108420150","title":"Fast Track to Forcing (Hardback) 9781108420150","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFast Track to Forcing\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eFor those who wonder if the forcing theory is beyond their means: no. Directions to research in forcing are given.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMirna Džamonja (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108420150, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 15 October 2020\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e200 pages\u003cbr\u003e23.5 x 15.3 x 5 cm, 0.43 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\"\u003eThis quick yet detailed introduction to set theory and forcing builds the reader's intuition about it as much as the mathematical detail. Intuition, rather absent from the existing literature on the subject, here plays a large role. The reader will not only learn the facts, but will understand why they are true and will be brought to ask: what else could be true? Having presented forcing in Part I, the second part of the book discusses contemporary issues in the theory of forcing. It includes known and some previously unpublished results as well as many open questions. This is ideal for those who want to start a research career in forcing but do not have a personal interlocutor. Obviously, not everything about forcing is in this book. Many references are included to help the reader further explore the vast amount of research literature available on the subject.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Let's Be Independent: 1. Introduction\u003cbr\u003e 2. Axiomatic Systems\u003cbr\u003e 3. Zermelo-Fraenkel Axioms and the Axiom of Choice\u003cbr\u003e 4. Well Orderings and Ordinals\u003cbr\u003e 5. Cardinals\u003cbr\u003e 6. Models and Independence\u003cbr\u003e 7. Some Class Models of ZFC\u003cbr\u003e 8. Forcing\u003cbr\u003e 9. Violating CH\u003cbr\u003e Part II. What Is New in Set Theory: 10. Introduction to Part Two\u003cbr\u003e 11. Classical Extensions\u003cbr\u003e 12. Iterated Forcing and Martin's Axiom\u003cbr\u003e 13. Some More Large Cardinals\u003cbr\u003e 14. Limitations of Martin's Axiom and Countable Supports\u003cbr\u003e 15. Proper Forcing and PFA\u003cbr\u003e 16. $aleph_2$ and other Successors of Regulars\u003cbr\u003e 17. Singular Cardinal Hypothesis and some PCF\u003cbr\u003e 18. Forcing at Singular Cardinals and their Successors\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Set theory [\u003ca title=\"See our other books on Set theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Set%20theory%20%5BPBCH%5D%22\"\u003ePBCH\u003c\/a\u003e], Mathematical logic [\u003ca title=\"See our other books on Mathematical logic\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20logic%20%5BPBCD%5D%22\"\u003ePBCD\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":46005121384728,"sku":"9781108420150","price":72.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108420150i.jpg?v=1696754076","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/fast-track-to-forcing-hardback-9781108420150","provider":"Freshly Printed Books","version":"1.0","type":"link"}