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.
发表于2024-12-23
A Course in Mathematical Logic 2024 pdf epub mobi 电子书
图书标签: 数理逻辑 数学 Logic 逻辑 nemlophics First-order-Logic First-order
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.
递归论那里觉得很不舒服
评分递归论那里觉得很不舒服
评分可读性不错。所有习题都是有用的中间定理,难度变化非常“平滑”。早点读这本书的话北大的数理逻辑课作业、考试会非常轻松
评分相比其他教材,本书在构建一阶语言时更多使用归纳定义,更为严谨。在一些问题的处理上略显啰嗦,可能适合初学者。本书的证明系统是tableaux,想学根岑式系统的人可以参考其他书。在元语言和目标语言的表述问题上面,本书作出一种兼顾严谨性和便捷性的尝试,这一做法应该值得其他书学习(许多书甚至没有考虑这方面的问题)。
评分相比其他教材,本书在构建一阶语言时更多使用归纳定义,更为严谨。在一些问题的处理上略显啰嗦,可能适合初学者。本书的证明系统是tableaux,想学根岑式系统的人可以参考其他书。在元语言和目标语言的表述问题上面,本书作出一种兼顾严谨性和便捷性的尝试,这一做法应该值得其他书学习(许多书甚至没有考虑这方面的问题)。
A Course in Mathematical Logic 2024 pdf epub mobi 电子书