A Course in Mathematical Logic 在線電子書 圖書標籤: 數理邏輯 數學 Logic 邏輯 nemlophics First-order-Logic First-order
發表於2024-11-25
A Course in Mathematical Logic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
相比其他教材,本書在構建一階語言時更多使用歸納定義,更為嚴謹。在一些問題的處理上略顯囉嗦,可能適閤初學者。本書的證明係統是tableaux,想學根岑式係統的人可以參考其他書。在元語言和目標語言的錶述問題上麵,本書作齣一種兼顧嚴謹性和便捷性的嘗試,這一做法應該值得其他書學習(許多書甚至沒有考慮這方麵的問題)。
評分相比其他教材,本書在構建一階語言時更多使用歸納定義,更為嚴謹。在一些問題的處理上略顯囉嗦,可能適閤初學者。本書的證明係統是tableaux,想學根岑式係統的人可以參考其他書。在元語言和目標語言的錶述問題上麵,本書作齣一種兼顧嚴謹性和便捷性的嘗試,這一做法應該值得其他書學習(許多書甚至沒有考慮這方麵的問題)。
評分相比其他教材,本書在構建一階語言時更多使用歸納定義,更為嚴謹。在一些問題的處理上略顯囉嗦,可能適閤初學者。本書的證明係統是tableaux,想學根岑式係統的人可以參考其他書。在元語言和目標語言的錶述問題上麵,本書作齣一種兼顧嚴謹性和便捷性的嘗試,這一做法應該值得其他書學習(許多書甚至沒有考慮這方麵的問題)。
評分可讀性不錯。所有習題都是有用的中間定理,難度變化非常“平滑”。早點讀這本書的話北大的數理邏輯課作業、考試會非常輕鬆
評分可讀性不錯。所有習題都是有用的中間定理,難度變化非常“平滑”。早點讀這本書的話北大的數理邏輯課作業、考試會非常輕鬆
John Lane Bell (born March 25, 1945) is Professor of Philosophy at the University of Western Ontario in Canada. He has made contributions to mathematical logic and philosophy, and is the author of a number of books. His research includes such topics as set theory, model theory, lattice theory, modal logic, quantum logic, constructive mathematics, type theory, topos theory, infinitesimal analysis, spacetime theory, and the philosophy of mathematics. He is the author of more than 70 articles and of 11 books. In 2009, he was elected a Fellow of the Royal Society of Canada.
He was awarded a scholarship to Oxford University at the age of 15, and graduated with a D.Phil. in Mathematics: his dissertation supervisor was John Crossley. During 1968-89 he was Lecturer in Mathematics and Reader in Mathematical Logic at the London School of Economics.[1]
John Bell's students include Graham Priest (Ph.D. Mathematics LSE, 1972), Michael Hallett (Ph.D. Philosophy LSE, 1979), Elaine Landry (Ph.D. Philosophy UWO, 1997), David DeVidi (Ph.D. Philosophy UWO, 1994) and Richard Feist (Ph.D. Philosophy UWO, 1999).
BOOKS
Intuitionistic Set Theory. College Publications, 2013.
Set Theory: Boolean-Valued Models and Independence Proofs. Oxford University Press 2011.
The Axiom of Choice. College Publications, 2009.
The Continuous and the Infinitesimal in Mathematics and Philosophy. Polimetrica, 2005.
(With D. DeVidi and G. Solomon) Logical Options: An Introduction to Classical and Alternative Logics. Broadview Press, 2001.
The Art of the Intelligible: An Elementary Survey of Mathematics in its Conceptual Development. Kluwer, 1999.
A Primer of Infinitesimal Analysis. Cambridge University Press, 1998. Second Edition, 2008.
Toposes & Local Set Theories: An Introduction. Clarendon Press, Oxford, 1988. Reprinted by Dover, 2008.
Boolean-Valued Models and Independence Proofs in Set Theory. Clarendon Press, Oxford, 1977. 2nd edition, 1985. 3rd edition, 2005.
(With M. Machover). A Course in Mathematical Logic. North-Holland, Amsterdam, 1977. 4th printing, 2003.
(With A. B. Slomson). Models and Ultraproducts: An Introduction. North-Holland, Amsterdam, 1969. Reprinted by Dover, 2006.
A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics.
No previous knowledge of logic is required; the book is suitable for self-study.
Many exercises (with hints) are included.
The book is valuable for anyone interested in mathematical logic and may serve as a reference source for graduate students and specialists.
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A Course in Mathematical Logic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024