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George Boolos [79]George S. Boolos [12]Georges Boolos [1]
  1. Computability and Logic.George Boolos, John Burgess, Richard P. & C. Jeffrey - 2007 - Cambridge University Press.
    Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel’s incompleteness theorems, but also a large number of optional topics, from Turing’s theory of computability to Ramsey’s theorem. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a new and simpler treatment of the representability of recursive functions, a (...)
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  2. Logic, Logic, and Logic.George Boolos - 1998 - Harvard University Press.
    This collection, nearly all chosen by Boolos himself shortly before his death, includes thirty papers on set theory, second-order logic, and plural quantifiers; ...
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  3. To Be is to Be a Value of a Variable (or to Be Some Values of Some Variables).George Boolos - 1984 - Journal of Philosophy 81 (8):430-449.
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  4. Nominalist Platonism.George Boolos - 1985 - Philosophical Review 94 (3):327-344.
  5.  37
    The Unprovability of Consistency: An Essay in Modal Logic.George Boolos - 1979 - Cambridge University Press.
    The Unprovability of Consistency is concerned with connections between two branches of logic: proof theory and modal logic. Modal logic is the study of the principles that govern the concepts of necessity and possibility; proof theory is, in part, the study of those that govern provability and consistency. In this book, George Boolos looks at the principles of provability from the standpoint of modal logic. In doing so, he provides two perspectives on a debate in modal logic that has persisted (...)
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  6. The Iterative Conception of Set.George Boolos - 1971 - Journal of Philosophy 68 (8):215-231.
  7. Meaning and Method: Essays in Honor of Hilary Putnam.Hilary Putnam & George Boolos (eds.) - 1990 - Cambridge University Press.
    In this festschrift for the eminent philosopher Hilary Putnam, a team of distinguished philosophers write on a broad range of topics and thus reflect the remarkably fertile and provocative research of Putnam himself. The volume is not merely a celebration of a man, but also a report on the state of philosophy in a number of significant areas. The essays fall naturally into three groups: a central core on the theme of conventionality and content in the philosophy of mind, language, (...)
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  8. Die Grundlagen der Arithmetik, 82-3.George Boolos & Richard G. Heck - 1998 - In Matthias Schirn (ed.), Bulletin of Symbolic Logic. Clarendon Press. pp. 407-28.
    This paper contains a close analysis of Frege's proofs of the axioms of arithmetic §§70-83 of Die Grundlagen, with special attention to the proof of the existence of successors in §§82-83. Reluctantly and hesitantly, we come to the conclusion that Frege was at least somewhat confused in those two sections and that he cannot be said to have outlined, or even to have intended, any correct proof there. The proof he sketches is in many ways similar to that given in (...)
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  9.  99
    Iteration Again.George Boolos - 1989 - Philosophical Topics 17 (2):5-21.
  10.  3
    Review of Robert M. Solovay's Provability Interpretations of Modal Logic.George Boolos - 1981 - Journal of Symbolic Logic 46 (3):661-662.
  11. On Second-Order Logic.George S. Boolos - 1975 - Journal of Philosophy 72 (16):509-527.
  12. Reading the Begriffsschrift.George Boolos - 1985 - Mind 94 (375):331-344.
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  13. Gödel's Second Incompleteness Theorem Explained in Words of One Syllable.George Boolos - 1994 - Mind 103 (409):1-3.
  14. The Standard of Equality of Numbers.George Boolos - 1990 - In Meaning and Method: Essays in Honor of Hilary Putnam. Cambridge University Press. pp. 261--77.
     
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  15. The Consistency of Frege's Foundations of Arithmetic.George Boolos - 1987 - In J. Thomson (ed.), On Being and Saying: Essays in Honor of Richard Cartwright. MIT Press. pp. 3--20.
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  16. Degrees of Unsolvability of Constructible Sets of Integers.George Boolos & Hilary Putnam - 1968 - Journal of Symbolic Logic 33 (4):497-513.
  17.  58
    The Hardest Logic Puzzle Ever.George Boolos - 1996 - The Harvard Review of Philosophy 6 (1):62-65.
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  18. Don't Eliminate Cut.George Boolos - 1984 - Journal of Philosophical Logic 13 (4):373 - 378.
  19.  34
    Saving Frege From Contradiction.George Boolos - 1986 - Proceedings of the Aristotelian Society 87:137--151.
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  20.  76
    Frege's Theorem and the Peano Postulates.George Boolos - 1995 - Bulletin of Symbolic Logic 1 (3):317-326.
  21.  43
    On “Seeing” the Truth of the Gödel Sentence.George Boolos - 1990 - Behavioral and Brain Sciences 13 (4):655-656.
  22.  49
    Provability: The Emergence of a Mathematical Modality.George Boolos & Giovanni Sambin - 1991 - Studia Logica 50 (1):1 - 23.
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  23. Reply to Charles Parsons' ``Sets and Classes''.George Boolos - 1998 - In Richard Jeffrey (ed.), Logic, Logic, and Logic. Harvard University Press. pp. 30-36.
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  24. Must We Believe in Set Theory?George Boolos - 1998 - In Richard Jeffrey (ed.), Logic, Logic, and Logic. Harvard University Press. pp. 120-132.
  25.  57
    A Curious Inference.George Boolos - 1987 - Journal of Philosophical Logic 16 (1):1 - 12.
  26.  35
    On Systems of Modal Logic with Provability Interpretations.George Boolos - 1980 - Theoria 46 (1):7-18.
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  27. Whence the Contradiction?George Boolos - 1993 - Aristotelian Society Supplementary Volume 67:211--233.
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  28.  62
    An Incomplete System of Modal Logic.George Boolos & Giovanni Sambin - 1985 - Journal of Philosophical Logic 14 (4):351 - 358.
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  29. On Deciding the Provability of Certain Fixed Point Statements.George Boolos - 1977 - Journal of Symbolic Logic 42 (2):191-193.
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  30. Logic, Logic, and Logic.George Boolos & Richard C. Jeffrey - 2000 - Studia Logica 66 (3):428-432.
     
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  31.  40
    Constructing Cantorian Counterexamples.George Boolos - 1997 - Journal of Philosophical Logic 26 (3):237-239.
    Cantor's diagonal argument provides an indirect proof that there is no one-one function from the power set of a set A into A. This paper provides a somewhat more constructive proof of Cantor's theorem, showing how, given a function f from the power set of A into A, one can explicitly define a counterexample to the thesis that f is one-one.
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  32.  47
    Provability, Truth, and Modal Logic.George Boolos - 1980 - Journal of Philosophical Logic 9 (1):1 - 7.
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  33.  11
    Trees and Finite Satisfiability: Proof of a Conjecture of Burgess.George Boolos - 1984 - Notre Dame Journal of Formal Logic 25 (3):193-197.
  34. On the Proof of Frege's Theorem.George Boolos - 1996 - In Adam Morton & Stephen P. Stich (eds.), Benacerraf and His Critics. Blackwell. pp. 143--59.
     
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  35.  10
    On Deciding the Truth of Certain Statements Involving the Notion of Consistency.George Boolos - 1976 - Journal of Symbolic Logic 41 (4):779-781.
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  36.  19
    The Degree of the Set of Sentences of Predicate Provability Logic That Are True Under Every Interpretation.George Boolos & Vann McGee - 1987 - Journal of Symbolic Logic 52 (1):165-171.
  37.  32
    Omega-Consistency and the Diamond.George Boolos - 1980 - Studia Logica 39 (2-3):237 - 243.
    G is the result of adjoining the schema (qAA)qA to K; the axioms of G* are the theorems of G and the instances of the schema qAA and the sole rule of G* is modus ponens. A sentence is -provable if it is provable in P(eano) A(rithmetic) by one application of the -rule; equivalently, if its negation is -inconsistent in PA. Let -Bew(x) be the natural formalization of the notion of -provability. For any modal sentence A and function mapping sentence (...)
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  38.  4
    IX—Saving Frege From Contradiction.George Boolos - 1987 - Proceedings of the Aristotelian Society 87 (1):137-152.
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  39.  23
    Arithmetical Functions and Minimalization.George S. Boolos - 1974 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 20 (23‐24):353-354.
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  40.  2
    On ‘Syllogistic Inference’.George Boolos - 1984 - Cognition 17 (2):181-182.
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  41.  3
    The Logic of Provability.Philip Scowcroft & George Boolos - 1995 - Philosophical Review 104 (4):627.
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  42.  65
    Zooming Down the Slippery Slope.George Boolos - 1991 - Noûs 25 (5):695-706.
  43.  17
    Basic Law (V).George Boolos & Peter Clark - 1993 - Aristotelian Society Supplementary Volume 67 (1):213 - 249.
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  44. Quotational Ambiguity.George Boolos - 1995 - In Paolo Leonardi & Marco Santambrogio (eds.), On Quine: New Essays. Cambridge University Press. pp. 283--296.
     
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  45.  2
    On the Semantics of the Constructible Levels.George Boolos - 1970 - Mathematical Logic Quarterly 16 (2):139-148.
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  46.  50
    The Justification of Mathematical Induction.George Boolos - 1984 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1984:469 - 475.
  47.  24
    Extremely Undecidable Sentences.George Boolos - 1982 - Journal of Symbolic Logic 47 (1):191-196.
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  48.  1
    Self-Reference and Modal Logic.George Boolos & C. Smorynski - 1988 - Journal of Symbolic Logic 53 (1):306.
  49.  6
    The Analytical Completeness of Dzhaparidze's Polymodal Logics.George Boolos - 1993 - Annals of Pure and Applied Logic 61 (1-2):95-111.
    The bimodal provability logics of analysis for ordinary provability and provability by the ω-rule are shown to be fragments of certain ‘polymodal’ logics introduced by G.K. Dzhaparidze. In addition to modal axiom schemes expressing Löb's theorem for the two kinds of provability, the logics treated here contain a scheme expressing that if a statement is consistent, then the statement that it is consistent is provable by the ω-rule.
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  50.  25
    A Proof of the Löwenheim-Skolem Theorem.George S. Boolos - 1970 - Notre Dame Journal of Formal Logic 11 (1):76-78.
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