First-Order Modal Logic (一階模態邏輯)
Fitting, Melvin, Mendelsohn, Richard L.
- 出版商: Springer
- 出版日期: 2024-10-19
- 售價: $4,760
- 貴賓價: 9.5 折 $4,522
- 語言: 英文
- 頁數: 460
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031407164
- ISBN-13: 9783031407161
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This revised edition of the highly recommended book "First-Order Modal Logic", originally published in 1998, contains both new and modified chapters reflecting the latest scientific developments. Fitting and Mendelsohn present a thorough treatment of first-order modal logic, together with some propositional background. They adopt throughout a threefold approach. Semantically, they use possible world models; the formal proof machinery is tableaus; and full philosophical discussions are provided of the way that technical developments bear on well-known philosophical problems. The book covers quantification itself, including the difference between actualist and possibilist quantifiers; equality, leading to a treatment of Frege's morning star/evening star puzzle; the notion of existence and the logical problems surrounding it; non-rigid constants and function symbols; predicate abstraction, which abstracts a predicate from a formula, in effect providing a scoping function for constants andfunction symbols, leading to a clarification of ambiguous readings at the heart of several philosophical problems; the distinction between nonexistence and nondesignation; and definite descriptions, borrowing from both Fregean and Russellian paradigms.
Review of the First Edition: "This Text is an excellent and most useful volume. It is pitched correctly: the exercises are just right... It sets a high standard for anything following. It is to be highly recommended."
(Bulletin of Symbolic Logic, 8:3)
Review of the First Edition: "This Text is an excellent and most useful volume. It is pitched correctly: the exercises are just right... It sets a high standard for anything following. It is to be highly recommended."
(Bulletin of Symbolic Logic, 8:3)
作者簡介
Melvin Fitting was a student of Raymond Smullyan. His dissertation became his first book, Intuitionistic Logic, Model Theory, and Forcing (1969). Since then he has authored or co-authored eleven books and served as editor for another three, as well as writing over 130 papers and book chapters. Among the areas he has worked in are intensional logic, semantics for logic programming, fixpoint theories of truth, and justification logic. A significant part of his work has involved developing tableau systems for non-classical logics, thus generalizing the classical systems of his mentor Smullyan. In 2012 he received the Herbrand Award from the Conference on Automated Deduction, largely for this tableau work, and in 2019 he received an honorary PhD from the University of Bucharest. He was on the faculty of the City University of New York from 1969 to his retirement in 2013. At CUNY he was at the undergraduate Lehman College, and at the City University Graduate Center, where he was in the Departments of Mathematics, Computer Science, and Philosophy. He is now an emeritus Professor, but very much active.
Richard L. Mendelsohn studied philosophy, logic and linguistics while a graduate student at M.I.T. Among the areas he has worked in are modal logic, philosophical logic, philosophy of language, history of early modern analytic philosophy, and the philosophy of Gottlob Frege. He has authored or coauthored 3 books, and many articles and reviews. He was on the faculty of the City University of New York from 1968 until his retirement in 2014. He continues now as an emeritus Professor at CUNY. In addition, after visiting for many years, he has, since 2014, been an Adjunct Professor of Logic and the Philosophy of Science at the University of California, Irvine and a member of the Center for the Advancement of Logic there. At CUNY he taught at the undergraduate Lehman College and at the City University Graduate Center, where he was a member of the Department of Philosophy, serving as chair from 1993 to 1998, as well as a member of the Department of Linguistics.
Richard L. Mendelsohn studied philosophy, logic and linguistics while a graduate student at M.I.T. Among the areas he has worked in are modal logic, philosophical logic, philosophy of language, history of early modern analytic philosophy, and the philosophy of Gottlob Frege. He has authored or coauthored 3 books, and many articles and reviews. He was on the faculty of the City University of New York from 1968 until his retirement in 2014. He continues now as an emeritus Professor at CUNY. In addition, after visiting for many years, he has, since 2014, been an Adjunct Professor of Logic and the Philosophy of Science at the University of California, Irvine and a member of the Center for the Advancement of Logic there. At CUNY he taught at the undergraduate Lehman College and at the City University Graduate Center, where he was a member of the Department of Philosophy, serving as chair from 1993 to 1998, as well as a member of the Department of Linguistics.
作者簡介(中文翻譯)
梅爾文·費廷（Melvin Fitting）是雷蒙德·斯穆利安（Raymond Smullyan）的學生。他的論文成為了他的第一本書《直覺邏輯、模型理論與強迫》（Intuitionistic Logic, Model Theory, and Forcing，1969）。自那時以來，他已經著作或合著了十一本書，並擔任另外三本書的編輯，還撰寫了超過130篇論文和書章。他的研究領域包括意向邏輯、邏輯程式的語義、真理的固定點理論以及正當性邏輯。他的工作中有相當一部分涉及為非經典邏輯開發表格系統，從而推廣了他的導師斯穆利安的經典系統。2012年，他因這項表格工作獲得自動推理會議的赫爾布蘭獎（Herbrand Award），並在2019年獲得布加勒斯特大學的榮譽博士學位。他在1969年至2013年退休期間任教於紐約市立大學（City University of New York）。在CUNY，他在本科的萊曼學院（Lehman College）和市立大學研究中心（City University Graduate Center）任教，並在數學、計算機科學和哲學系任職。現在他是名譽教授，但仍然非常活躍。
理查德·L·門德爾索恩（Richard L. Mendelsohn）在麻省理工學院（M.I.T.）攻讀研究生時學習了哲學、邏輯和語言學。他的研究領域包括模態邏輯、哲學邏輯、語言哲學、早期現代分析哲學的歷史以及戈特洛布·弗雷格（Gottlob Frege）的哲學。他著作或合著了三本書，以及許多文章和評論。他在1968年至2014年退休期間任教於紐約市立大學。現在他作為名譽教授繼續在CUNY工作。此外，在多年訪問後，自2014年以來，他擔任加州大學爾灣分校（University of California, Irvine）邏輯與科學哲學的兼任教授，並成為那裡邏輯推進中心的成員。在CUNY，他在本科的萊曼學院和市立大學研究中心任教，並在哲學系任職，於1993年至1998年擔任系主任，同時也是語言學系的成員。
