TY - BOOK ID - 111469306 TI - Proper and improper forcing PY - 2016 SN - 1316731715 1316745228 1316747158 1316717232 1316754871 1316749088 9781316754870 9781316717233 9781316749081 1107168368 9781107168367 PB - Cambridge DB - UniCat KW - Forcing (Model theory) KW - Axiomatic set theory. KW - Axioms KW - Logic, Symbolic and mathematical KW - Set theory KW - Model theory UR - https://www.unicat.be/uniCat?func=search&query=sysid:111469306 AB - Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the fifth publication in the Perspectives in Logic series, studies set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. The author gives a complete presentation of the theory of proper forcing and its relatives, starting from the beginning and avoiding the metamathematical considerations. No prior knowledge of forcing is required. The book will enable a researcher interested in an independence result of the appropriate kind to have much of the work done for them, thereby allowing them to quote general results. ER -