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  1. Evert Willem Beth (1970). Aspects of Modern Logic. Dordrecht,Reidel.
  2. H. Jerome Keisler (1971). Model Theory for Infinitary Logic. Amsterdam,North-Holland Pub. Co..
    Provability, Computability and Reflection.
  3. Alessandro Andretta, Keith Kearnes & Domenico Zambella (eds.) (2008). Logic Colloquium 2004: Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, Held in Torino, Italy, July 25-31, 2004. [REVIEW] Cambridge University Press.
    Highlights of this volume from the 2004 Annual European Meeting of the Association for Symbolic Logic (ASL) include a tutorial survey of the recent highpoints of universal algebra, written by a leading expert; explorations of foundational questions; a quartet of model theory papers giving an excellent reflection of current work in model theory, from the most abstract aspect "abstract elementary classes" to issues around p-adic integration.
  4. C.-T. Chong & M. J. Wicks (eds.) (1983). Southeast Asian Conference on Logic: Proceedings of the Logic Conference, Singapore, 1981. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..
  5. S. B. Cooper, Benedikt Löwe & Andrea Sorbi (eds.) (2007). New Computational Paradigms: Changing Conceptions of What is Computable. Springer.
    Logicians and theoretical physicists will also benefit from this book.
  6. Palle Yourgrau (ed.) (1990). Demonstratives. Oxford University Press.
  7. Leigh S. Cauman (1998). First-Order Logic: An Introduction. Walter De Gruyter.
    Introduction This is an elementary logic book designed for people who have no technical familiarity with modern logic but who have been reasoning, ...
  8. Dave Barker-Plummer (2011). Language, Proof, and Logic. Csli Publications.
  9. Norman M. Martin (1989). Systems of Logic. Cambridge University Press.
    This advanced study of systems of propositional logic offers a comprehensive account of a wide variety of logical systems and encourages students to take a critical stance toward the subject. A great variety of systems and subsystems are defined and compared as regards their deductive power and relation to their model theory. Special attention is given to the weakenings of classical logic and a more refined treatment of modal logic is presented.
  10. Lawrence C. Paulson (1987). Logic and Computation: Interactive Proof with Cambridge Lcf. Cambridge University Press.
    Logic and Computation is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of statements in a programming language. This book consists of two parts. Part I outlines the mathematical preliminaries: elementary logic and domain theory. They are explained at an intuitive level, giving references (...)
  11. Irving M. Copi (1973/1968). Symbolic Logic. New York,Macmillan.
  12. Benson Mates (1972). Elementary Logic. New York,Oxford University Press.
  13. Aladdin Mahmūd Yaqūb (1993). The Liar Speaks the Truth: A Defense of the Revision Theory of Truth. Oxford University Press.
    In this book, Yaqub describes a simple conception of truth and shows that it yields a semantical theory that accommodates the whole range of our seemingly conflicting intuitions about truth. This conception takes the Tarskian biconditionals (such as "The sentence 'Johannes loved Clara' is true if and only if Johannes loved Clara") as correctly and completely defining the notion of truth. The semantical theory, which is called the revision theory, that emerges from this conception paints a metaphysical picture of truth (...)
  14. Aladdin M. Yaqub (1993). The Liar Speaks the Truth: A Defense of the Revision Theory of Truth. OUP USA.
    In this book Yaqub describes a simple conception of truth and shows that it yields a semantical theory that accommodates the whole range of our seemingly conflicting intuitions about truth. This conception takes the Tarskian biconditionals (such as "The sentence `Johannes loved Clara' is true if and only if Johannes loved Clara") as correctly and completely defining the notion of truth. The semantical theory, which is called the revision theory, that emerges from this conception paints a metaphysical picture of truth (...)
  15. M. Ben-Ari (1993/2003). Mathematical Logic for Computer Science. Prentice Hall.
    Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. To provide a balanced treatment of logic, tableaux are related to deductive proof systems.The logical systems presented are:- Propositional calculus (including binary decision diagrams);- Predicate calculus;- Resolution;- Hoare logic;- Z;- (...)
  16. Aleksandr Zinoviev (1973). Foundations of the Logical Theory of Scientific Knowledge (Complex Logic). Dordrecht,Reidel.
  17. Andrea Nye (1990). Words of Power: A Feminist Reading of the History of Logic. Routledge.
    Is logic masculine? Is women's lack of interest in the "hard core" philosophical disciplines of formal logic and semantics symptomatic of an inadequacy linked to sex? Is the failure of women to excel in pure mathematics and mathematical science a function of their inability to think rationally? Andrea Nye undermines the assumptions that inform these questions, assumptions such as: logic is unitary, logic is independenet of concrete human relations, and logic transcends historical circumstances as well as gender. In a series (...)
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  18. Julian Dodd (2000). An Identity Theory of Truth. St. Martin's Press.
    This book argues that correspondence theories of truth fail because the relation that holds between a true thought and a fact is that of identity, not correspondence. Facts are not complexes of worldly entities which make thoughts true they are merely true thoughts. According to Julian Dodd, the resulting modest identity theory , while not defining truth, correctly diagnoses the failure of correspondence theories, and thereby prepares the ground for a defensible deflation of the concept of truth.
  19. Wilbur Samuel Howell (1971). Eighteenth-Century British Logic and Rhetoric. Princeton,Princeton University Press.
  20. Sybil Wolfram (1989). Philosophical Logic: An Introduction. Routledge.
    A basic introduction to the subject which addresses questions of truth and meaning, providing a basis for much of what is discussed elsewhere in philosophy. Up-to-date and comprehensive.
  21. Holger H. Hoos & David G. Mitchell (eds.) (2005). Theory and Applications of Satisfiability Testing: 7th International Conference, Sat 2004, Vancouver, Bc, Canada, May 10-13, 2004: Revised Selected Papers. [REVIEW] Springer.
    This book constitutes the refereed proceedings of the 7th International Conference on Theory and Applications of Satisfiability Testing, SAT 2004, held in Vancouver, BC, Canada in May 2004. The 24 revised full papers presented together with 2 invited papers were carefully selected from 72 submissions. In addition there are 2 reports on the 2004 SAT Solver Competition and the 2004 QBF Solver Evaluation. The whole spectrum of research in propositional and quantified Boolean formula satisfiability testing is covered; bringing together the (...)
  22. A. G. Hamilton (1978). Logic for Mathematicians. Cambridge University Press.
    Intended for logicians and mathematicians, this text is based on Dr. Hamilton's lectures to third and fourth year undergraduates in mathematics at the ...
  23. R. E. Jennings (1994). The Genealogy of Disjunction. Oxford University Press.
    This is a comprehensive study of the English word 'or', and the logical operators variously proposed to present its meaning. Although there are indisputably disjunctive uses of or in English, it is a mistake to suppose that logical disjunction represents its core meaning. 'Or' is descended from the Anglo-Saxon word meaning second, a form which survives in such expressions as "every other day." Its disjunctive uses arise through metalinguistic applications of an intermediate adverbial meaning which is conjunctive rather than disjunctive (...)
  24. G. Hasenjaeger (1972). Introduction to the Basic Concepts and Problems of Modern Logic. Dordrecht-Holland,D. Reidel Pub. Co..
  25. Robert C. Koons (1992). Paradoxes of Belief and Strategic Rationality. Cambridge University Press.
    The purpose of this book is to develop a framework for analyzing strategic rationality, a notion central to contemporary game theory, which is the formal study of the interaction of rational agents, and which has proved extremely fruitful in economics, political theory, and business management. The author argues that a logical paradox (known since antiquity as "the Liar paradox") lies at the root of a number of persistent puzzles in game theory, in particular those concerning rational agents who seek to (...)
  26. Stig Kanger & Sören Stenlund (eds.) (1974). Logical Theory and Semantic Analysis: Essays Dedicated to Stig Kanger on His Fiftieth Birthday. Reidel.
    Lewis, D. Semantic analyses for dyadic deontic logic.--Salomaa, A. Some remarks concerning many-valued propositional logics.--Chellas, B. F. Conditional obligation.--Jeffrey, R.C. Remarks on interpersonal utility theory.--Hintikka, J. On the proper treatment of quantifiers in Montague semantics.--Mayoh, B.H. Extracting information from logical proofs.--Åqvist, L. A new approach to the logical theory of actions and causality.--Pörn, I. Some basic concepts of action.--Bouvère, K. de. Some remarks concerning logical and ontological theories.--Hacking, I. Combined evidence.--Äberg, C. Solution to a problem raised by Stig Kanger and (...)
  27. Alfred Tarski (1994). Introduction to Logic and to the Methodology of the Deductive Sciences. Oxford University Press.
    Now in its fourth edition, this classic work clearly and concisely introduces the subject of logic and its applications. The first part of the book explains the basic concepts and principles which make up the elements of logic. The author demonstrates that these ideas are found in all branches of mathematics, and that logical laws are constantly applied in mathematical reasoning. The second part of the book shows the applications of logic in mathematical theory building with concrete examples that draw (...)
  28. Christopher S. Hill (2002). Thought and World: An Austere Portrayal of Truth, Reference, and Semantic Correspondence. Cambridge University Press.
    There is an important family of semantic notions that are applied to thoughts and to the conceptual constituents of thoughts--as when one says that the thought that the Universe is expanding is true. Christopher Hill presents a theory of the content of such notions. That theory is largely deflationary in spirit. It represents a broad range of semantic notions free from substantive metaphysical and empirical presuppositions. He also explains the relationship of mirroring or semantic correspondence linking thoughts to reality.
  29. Harwood Fisher (2008). Self, Logic, and Figurative Thinking. Columbia University Press.
    Introduction: Major terms, their classification, and their relation to the book's objective -- The problem of analogous forms -- Natural logic, categories, and the individual -- Shift to individual categories, dynamics, and a psychological look at identity form versus function -- What is the difference between the logic governing a figure of speech and the logic that is immature or unconscious? -- What are the role and function of the self vis-à-vis consciousness? -- Development in the logic from immature to (...)
  30. Peter Gibbins (1987). Particles and Paradoxes: The Limits of Quantum Logic. Cambridge University Press.
    Quantum theory is our deepest theory of the nature of matter. It is a theory that, notoriously, produces results which challenge the laws of classical logic and suggests that the physical world is illogical. This book gives a critical review of work on the foundations of quantum mechanics at a level accessible to non-experts. Assuming his readers have some background in mathematics and physics, Peter Gibbins focuses on the questions of whether the results of quantum theory require us to abandon (...)
  31. J. C. Beall & B. Armour-Garb (eds.) (2006). Deflationism and Paradox. Oxford University Press.
    In this volume of fourteen original essays, a distinguished team of contributors explore the extent to which, if at all, deflationism can accommodate paradox.
  32. John Woods (2003). Paradox and Paraconsistency: Conflict Resolution in the Abstract Sciences. Cambridge University Press.
    In a world plagued by disagreement and conflict one might expect that the exact sciences of logic and mathematics would provide a safe harbor. In fact these disciplines are rife with internal divisions between different, often incompatible, systems. Do these disagreements admit of resolution? Can such resolution be achieved without disturbing assumptions that the theorems of logic and mathematics state objective truths about the real world? In this original and historically rich book John Woods explores apparently intractable disagreements in logic (...)
  33. Ayda I. Arruda, R. Chuaqui & Newton C. A. Costdaa (eds.) (1980). Mathematical Logic in Latin America: Proceedings of the Iv Latin American Symposium on Mathematical Logic Held in Santiago, December 1978. Sole Distributors for the U.S.A. And Canada, Elsevier North-Holland.
    (or not oveA-complete.) . Let * be a unary operator defined on the set F of formulas of the language £ (ie, if A is a formula of £, then *A is also a ...
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  34. C. Stephen Layman (2001). The Power of Logic. Mayfield Pub..
    Intended for the first course in logic, The Power of Logic (POL) is written with the conviction that logic is the most important course that college students take. POL preserves the balance between informal and formal logic. Layman;s direct and accessible writing style, along with his plentiful examples, imaginative exercises, and POL;s accompanying Logic Tutor make this the best text for logic classes today.day.
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  35. Colin McGinn (2000). Logical Properties: Identity, Existence, Predication, Necessity, Truth. Oxford University Press.
    Identity, existence, predication, necessity, and truth are vital concepts at the center of philosophy. Yet Colin McGinn believes that orthodox views of these topics are misguided in important ways. Philosophers and logicians have often distorted the nature of these concepts in an attempt to define them according to preconceived ideas. Logical Properties aims to respect the ordinary ways we talk and think when we employ these concepts, while at the same time showing that they are far more interesting and peculiar (...)
  36. Susan Haack (1978). Philosophy of Logics. Cambridge University Press.
    The first systematic exposition of all the central topics in the philosophy of logic, Susan Haack's book has established an international reputation (translated into five languages) for its accessibility, clarity, conciseness, orderliness, and range as well as for its thorough scholarship and careful analyses. Haack discusses the scope and purpose of logic, validity, truth-functions, quantification and ontology, names, descriptions, truth, truth-bearers, the set-theoretical and semantic paradoxes, and modality. She also explores the motivations for a whole range of nonclassical systems of (...)
  37. Karel Lambert (2003). Free Logic: Selected Essays. New Yorkcambridge University Press.
    Free logic is an important field of philosophical logic that first appeared in the 1950s. J. Karel Lambert was one of its founders and coined the term itself. The essays in this collection (written over a period of 40 years) explore the philosophical foundations of free logic and its application to areas as diverse as the philosophy of religion and computer science. Amongst the applications on offer are those to the analysis of existence statements, to definite descriptions and to partial (...)
  38. Vladimir V. Rybakov (1997). Admissibility of Logical Inference Rules. Elsevier.
    The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems. Primary attention is focused on: admissible or permissible inference rules the derivability of the admissible inference rules the structural completeness of logics the bases for admissible and valid inference rules. There is particular emphasis on propositional non-standard logics (primary, superintuitionistic and modal logics) but general logical consequence relations and classical first-order theories are also considered. The book is basically self-contained and special (...)
  39. Roy Dowsing (1986). A First Course in Formal Logic and its Applications in Computer Science. Blackwell Scientific Publications.
  40. J. Väänänen (2007). Dependence Logic: A New Approach to Independence Friendly Logic. Cambridge University Press.
    Dependence is a common phenomenon, wherever one looks: ecological systems, astronomy, human history, stock markets - but what is the logic of dependence? This book is the first to carry out a systematic logical study of this important concept, giving on the way a precise mathematical treatment of Hintikka’s independence friendly logic. Dependence logic adds the concept of dependence to first order logic. Here the syntax and semantics of dependence logic are studied, dependence logic is given an alternative game theoretic (...)
  41. Robert J. Fogelin (1991). Understanding Arguments: An Introduction to Informal Logic. Harcourt Brace Jovanovich.
  42. Ian Hacking & Casimir Lewy (eds.) (1985). Exercises in Analysis: Essays by Students of Casimir Lewy. Cambridge University Press.
    This is a volume of specially commissioned essays of analytical philosophy, on topics of current interest in ethics and the philosophy of logic and language. Among the topics discussed are the making of wicked promises, G. E. Moore's early ethical views, as well as indexicals, tense, indeterminism, conventionalism in mathematics, and identity and necessity. The essays are all by former students of Casimir Lewy, until recently Reader in Philosophy at the University of Cambridge and an exponent of a particularly thoroughgoing (...)
  43. Wolfgang Rautenberg (2006). A Concise Introduction to Mathematical Logic. Springer.
    Traditional logic as a part of philosophy is one of the oldest scientific disciplines. Mathematical logic, however, is a relatively young discipline and arose from the endeavors of Peano, Frege, Russell and others to create a logistic foundation for mathematics. It steadily developed during the 20th century into a broad discipline with several sub-areas and numerous applications in mathematics, informatics, linguistics and philosophy. While there are already several well-known textbooks on mathematical logic, this book is unique in that it is (...)
  44. Stan Baronett (2008). Logic. Pearson Prentice Hall.
    Logic and truth -- Inferences : assessment, recognition, and reconstruction -- Categorical statements and inferences -- Truth-functional statements -- Truth tables and proofs -- Natural deduction -- The logic of quantifiers -- Logic and language -- Applied inductive analysis.
  45. Christopher Gauker (2005). Conditionals in Context. MIT.
    "If you turn left at the next corner, you will see a blue house at the end of the street." That sentence -- a conditional -- might be true even though it is possible that you will not see a blue house at the end of the street when you turn left at the next corner. A moving van may block your view; the house may have been painted pink; a crow might swoop down and peck out your eyes. Still, (...)
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  46. Douglas N. Walton (1996). Argumentation Schemes for Presumptive Reasoning. L. Erlbaum Associates.
    This book identifies 25 argumentation schemes for presumptive reasoning and matches a set of critical questions to each.
  47. Paul Tomassi (1999). Logic. Routledge.
    Logic brings elementary logic out of the academic darkness into the light of day. Paul Tomassi makes logic fully accessible for anyone trying to come to grips with the complexities of this challenging subject. This book is written in a patient and user-friendly way which makes both the nature and value of formal logic crystal clear. This textbook proceeds from a frank, informal introduction to fundamental logical notions to a system of formal logic rooted in the best of our natural (...)
  48. Richard B. Angell (2002). A-Logic. University Press of America.
    A-LOGIC is a full-length book (600+ pg). It functions as a system of logic designed to: 1) solve the standard paradoxes and major problems of standard mathematical logic; 2) minimize that logic's anomalies with respect to ordinary language, yet; 3) prove that all theorems in mathematical logic are tautologies. It covers lst order logic the logic of the words "and", "or", "not", "all" and "some". But it also has a non truth functional "if...then" and differs in its definition of validity, (...)
  49. Jerry Seligman & Dag Westerståhl (eds.) (1996). Logic, Language and Computation. Csli Publications, Stanford.
  50. Stephen Read (1994). Thinking About Logic: An Introduction to the Philosophy of Logic. Oxford University Press.
    In this book, Stephen Read sets out to rescue logic from its undeserved reputation as an inflexible, dogmatic discipline by demonstrating that its technicalities and processes are founded on assumptions which are themselves amenable to philosophical investigation. He examines the fundamental principles of consequence, logical truth and correct inference within the context of logic, and shows that the principles by which we delineate consequences are themselves not guaranteed free from error. Central to the notion of truth is the beguiling issue (...)
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