79 found
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  1.  1
    Sentential Probability Logic.Theodore Hailperin - 2000 - Studia Logica 64 (3):405-408.
  2. Quantification Theory and Empty Individual-Domains.Theodore Hailperin - 1953 - Journal of Symbolic Logic 18 (3):197-200.
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  3. Nondesignating Singular Terms.Hugues Leblanc & Theodore Hailperin - 1959 - Philosophical Review 68 (2):239-243.
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  4. A Set of Axioms for Logic.Theodore Hailperin - 1944 - Journal of Symbolic Logic 9 (1):1-19.
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  5. Remarks on Identity and Description in First-Order Axiom Systems.Theodore Hailperin - 1954 - Journal of Symbolic Logic 19 (1):14-20.
  6.  41
    Probability Semantics for Quantifier Logic.Theodore Hailperin - 2000 - Journal of Philosophical Logic 29 (2):207-239.
    By supplying propositional calculus with a probability semantics we showed, in our 1996, that finite stochastic problems can be treated by logic-theoretic means equally as well as by the usual set-theoretic ones. In the present paper we continue the investigation to further the use of logical notions in probability theory. It is shown that quantifier logic, when supplied with a probability semantics, is capable of treating stochastic problems involving countably many trials.
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  7.  20
    Probability Logic and Combining Evidence.Theodore Hailperin - 2006 - History and Philosophy of Logic 27 (3):249-269.
    In Hailperin 1996 , in addition to its formal development of Probability Logic, there are many sections devoted to historical origins, illustrative examples, and discussion of related work by other authors. Here selected portions of its formal treatment are summarized and then used as a basis for a probability logic treatment of combining evidence.
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  8.  12
    Ontologically Neutral Logic.Theodore Hailperin - 1997 - History and Philosophy of Logic 18 (4):185-200.
    An elaboration in detail of the contention made in an earlier paper 1 that quantifier logic can be given an adequate formulation in which neither the notion of an individual nor that of a predicate appears. The logic is compatible with either an infinitistic or non-infinitistic completeness theorem.
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  9.  28
    The Development of Probability Logic From Leibniz to Maccoll.Theodore Hailperin - 1988 - History and Philosophy of Logic 9 (2):131-191.
    The introduction has a brief statement, sufficient for the purpose of this paper, which describes in general terms the notion of probability logic on which the paper is based. Contributions made in the eighteenth century by Leibniz, Jacob Bernoulli and Lambert, and in the nineteenth century by Bolzano, De Morgan, Boole, Peirce and MacColl are critically examined from a contemporary point of view. Historicity is maintained by liberal quotations from the original sources accompanied by interpretive explanation. Concluding the paper is (...)
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  10.  25
    Quantifier Probability Logic and the Confirmation Paradox.Theodore Hailperin - 2007 - History and Philosophy of Logic 28 (1):83-100.
    Exhumation and study of the 1945 paradox of confirmation brings out the defect of its formulation. In the context of quantifier conditional-probability logic it is shown that a repair can be accomplished if the truth-functional conditional used in the statement of the paradox is replaced with a connective that is appropriate to the probabilistic context. Description of the quantifier probability logic involved in the resolution of the paradox is presented in stages. Careful distinction is maintained between a formal logic language (...)
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  11.  6
    Herbrand Semantics, the Potential Infinite, and Ontology-Free Logic.Theodore Hailperin - 1992 - History and Philosophy of Logic 13 (1):69-90.
    This paper investigates the ontological presuppositions of quantifier logic. It is seen that the actual infinite, although present in the usual completeness proofs, is not needed for a proper semantic foundation. Additionally, quantifier logic can be given an adequate formulation in which neither the notion of individual nor that of a predicate appears.
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  12.  15
    A Form of Herbrand's Theorem.Theodore Hailperin - 1969 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 15 (7-12):107-120.
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  13.  15
    Probability Logic.Theodore Hailperin - 1984 - Notre Dame Journal of Formal Logic 25 (3):198-212.
  14.  17
    A Complete Set of Axioms for Logical Formulas Invalid in Some Finite Domain.Theodore Hailperin - 1961 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 7 (6):84-96.
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  15.  32
    Probability Logic in the Twentieth Century.Theodore Hailperin - 1991 - History and Philosophy of Logic 12 (1):71-110.
    This essay describes a variety of contributions which relate to the connection of probability with logic. Some are grand attempts at providing a logical foundation for probability and inductive inference. Others are concerned with probabilistic inference or, more generally, with the transmittance of probability through the structure (logical syntax) of language. In this latter context probability is considered as a semantic notion playing the same role as does truth value in conventional logic. At the conclusion of the essay two fully (...)
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  16.  3
    Algebraical Logic 1685–1900.Theodore Hailperin - 2004 - In Dov M. Gabbay, John Woods & Akihiro Kanamori (eds.), Handbook of the History of Logic. Elsevier. pp. 3--323.
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  17.  24
    A Theory of Restricted Quantification I.Theodore Hailperin - 1957 - Journal of Symbolic Logic 22 (1):19-35.
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  18.  35
    Logic Semantics with the Potential Infinite.Theodore Hailperin - 2010 - History and Philosophy of Logic 31 (2):145-159.
    A form of quantification logic referred to by the author in earlier papers as being 'ontologically neutral' still made use of the actual infinite in its semantics. Here it is shown that one can have, if one desires, a formal logic that refers in its semantics only to the potential infinite. Included are two new quantifiers generalizing the sentential connectives, equivalence and non-equivalence. There are thus new avenues opening up for exploration in both quantification logic and semantics of the infinite.
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  19.  14
    Kenneth Harris and Branden Fitelson/Comments on Some Completeness Theorems of Urquhart and Méndez & Salto 51–55 Dominic Gregory/Completeness and Decidability Results for Some Propositional Modal Logics Containing “Actu. [REVIEW]Theodore Hailperin & Ontologically Neutral Logic - 2001 - Journal of Philosophical Logic 30:617-618.
  20.  4
    A Theory of Restricted Quantification II.Theodore Hailperin - 1957 - Journal of Symbolic Logic 22 (2):113-129.
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  21.  7
    Infinite Truth-Functional Logic.Theodore Hailperin - 1987 - Notre Dame Journal of Formal Logic 29 (1):28-33.
  22.  27
    Potential Infinite Models and Ontologically Neutral Logic.Theodore Hailperin - 2001 - Journal of Philosophical Logic 30 (1):79-96.
    The paper begins with a more carefully stated version of ontologically neutral (ON) logic, originally introduced in (Hailperin, 1997). A non-infinitistic semantics which includes a definition of potential infinite validity follows. It is shown, without appeal to the actual infinite, that this notion provides a necessary and sufficient condition for provability in ON logic.
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  23.  19
    Probability Logic and Borel's Denumerable Probability.Theodore Hailperin - 2008 - History and Philosophy of Logic 29 (3):307-307.
    Borel's concept of denumerable probability is described by means of three of his illustrative problems and their solution. These problems are then reformulated in contemporary terms and solved from the viewpoint of probability logic. A section compares Kolmogorov set-theoretic probability with probability logic. The concluding section describes a highly adverse criticism of Borel's conception for its not using something like Kolmogorov theory (introduced two decades later) and, in support of Borel, this criticism is countered from the standpoint of quantifier probability (...)
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  24.  22
    Foundations of Probability in Mathematical Logic.Theodore Hailperin - 1937 - Philosophy of Science 4 (1):125-150.
  25.  21
    An Incorrect Theorem.Theodore Hailperin - 1965 - Journal of Symbolic Logic 30 (1):27.
  26.  2
    Halberstadt William H.. An Introduction to Modern Logic. An Elementary Textbook of Symbolic Logic. Harper & Brothers, New York 1960, Xii + 221 Pp. [REVIEW]Theodore Hailperin - 1964 - Journal of Symbolic Logic 29 (1):43.
  27.  12
    Boole's Abandoned Propositional Logic.Theodore Hailperin - 1984 - History and Philosophy of Logic 5 (1):39-48.
    The approach used by Boole in Mathematical analysis of logic to develop propositional logic was based on the idea of ?cases? or ?conjunctures of circumstances?. But this was dropped in Laws of thought in favor of one which Boole considered to be more satisfactory, that of using the notion of ?time for which a proposition is true?. We show that, when suitable clarifications and corrections are made, the earlier approach? which accords with modern logic in eschewing the extraneous notion of (...)
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  28. Review: Leon Henkin, W. Norman Smith, Verne J. Varineau, Michael J. Walsh, Retracing Elementary Mathematics. [REVIEW]Theodore Hailperin - 1964 - Journal of Symbolic Logic 29 (4):209-209.
     
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  29. Review: William H. Halberstadt, An Introduction to Modern Logic. An Elementary Textbook of Symbolic Logic. [REVIEW]Theodore Hailperin - 1964 - Journal of Symbolic Logic 29 (1):43-43.
  30. Review: G. C. Smith, The Boole-De Morgan Correspondence 1842-1864. [REVIEW]Theodore Hailperin - 1984 - Journal of Symbolic Logic 49 (2):657-659.
     
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  31.  1
    Boole's Logic and Probability. A Critical Exposition From the Standpoint of Contemporary Algebra, Logic and Probability Theory.N. T. Gridgeman & Theodore Hailperin - 1988 - Journal of Symbolic Logic 53 (4):1253.
  32.  1
    Lambert Karel. Notes on E! III: A Theory of Descriptions. Philosophical Studies , Vol. 13 , Pp. 51–59.Hintikka Jaakko. Definite Descriptions and Self-Identity. Philosophical Studies , Vol. 15 , Pp. 5–7.Lambert Karel. Notes on E! IV. Philosophical Studies , Vol. 15 , Pp. 85–88. , P. 48.)Lambert Karel. Definite Descriptions and Self-Identity. II. Philosophical Studies , Vol. 15 , Vol. 17 , Pp. 35–43. [REVIEW]Theodore Hailperin - 1967 - Journal of Symbolic Logic 32 (2):252.
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  33.  1
    Schneider Hubert H.. Semantics of the Predicate Calculus with Identity and the Validity in the Empty Individual-Domain. Portugaliae Mathematica, Vol. 17 , Pp. 85–96.Schneider Hubert H.. A Syntactical Characterization of the Predicate Calculus with Identity and the Validity in All Individual-Domains. Portugaliae Mathematica, Vol 20 , Pp. 105–117. [REVIEW]Theodore Hailperin - 1965 - Journal of Symbolic Logic 30 (3):385-386.
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  34.  7
    Corrections to a Theory of Restricted Quantification.Theodore Hailperin - 1960 - Journal of Symbolic Logic 25 (1):54-56.
  35.  2
    Review: K. Jaakko, J. Hintikka, Distributive Normal Forms in the Calculus of Predicates. [REVIEW]Theodore Hailperin - 1955 - Journal of Symbolic Logic 20 (2):164-164.
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  36.  3
    Review: Ingebrigt Johansson, Sur le Concept de "le" (Ou de "ce qui") dans le Calcul Affirmatif et dans les Calculs Intuitionnistes; R. Feys, Ingebright Johansson, Discussion: Sur le Concept de "le" (Ou de "ce qui") dans le Calcul Affirmatif et dans les Calculs Intuitionnistes. [REVIEW]Theodore Hailperin - 1958 - Journal of Symbolic Logic 23 (3):346-346.
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  37.  2
    Review: C. C. Chang, H. Jerome Keisler, An Improved Prenex Normal Form. [REVIEW]Theodore Hailperin - 1968 - Journal of Symbolic Logic 33 (3):479-479.
  38. Review: B. H. Arnold, Logic and Boolean Algebra. [REVIEW]Theodore Hailperin - 1964 - Journal of Symbolic Logic 29 (2):95-96.
  39. Review: Hubert H. Schneider, Portugatiae Mathematica:Semantics of the Predicate Calculus with Identity and the Validity in the Empty Individual-Domain; Hubert H. Schneider, Portugatiae Mathematica:A Syntactical Characterization of the Predicate Calculus with Identity and the Validity in All Individual-Domains. [REVIEW]Theodore Hailperin - 1965 - Journal of Symbolic Logic 30 (3):385-386.
     
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  40. Review: Marcel Boll, La Logique Dite Propositionnelle Et la Commutation. [REVIEW]Theodore Hailperin - 1959 - Journal of Symbolic Logic 24 (3):256-256.
  41. Review: Leon Henkin, Mathematical Induction. [REVIEW]Theodore Hailperin - 1964 - Journal of Symbolic Logic 29 (4):209-209.
     
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  42.  1
    Beberman Max and Vaughan Herbert E.. High School Mathematics. Course 1. Revised Edition of XXX 401 (10–13). DC Heath and Company, Boston 1964, Ix+ 598 Pp. Beberman Max and Vaughan Herbert E.. High School Mathematics. Course 1. Teacher's Edition. Revised Edition of XXX 401 (14–17). D. C Heath and Company, Boston 1964, Pages Irregularly Numbered.(The Pages of the Students' Edition Are Reproduced with Their Same Numbers, and with Most Pages, Added Material for the Teacher is Inserted on Extra Pages.). [REVIEW]Theodore Hailperin - 1996 - Journal of Symbolic Logic 31 (1):111-112.
  43.  1
    Review: Nicholas Rescher, Definitions of "Existence."; Karel Lambert, Notes on "E!". [REVIEW]Theodore Hailperin - 1967 - Journal of Symbolic Logic 32 (2):251-251.
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  44.  1
    Review: H. Leblanc, R. H. Thomason, Completeness Theorems for Some Presupposition-Free Logics. [REVIEW]Theodore Hailperin - 1972 - Journal of Symbolic Logic 37 (2):424-425.
  45.  1
    Boole George. Selected Manuscripts on Logic and its Philosophy. Edited by Grattan-Guinness Ivor and Bornet Gérard. Science Networks Historical Studies, Vol. 20. Birkhäuser Verlag, Basel, Boston, and Berlin, 1997, Lxiv+ 236 Pp. Grattan-Guinness Ivor. Boole's Quest for the Foundations of His Logic. Therein, Pp. Xiii–Xlvii. Bornet Gérard. Boole's Psychologism as a Reception Problem. Therein, Pp. Xlvii–Lviii. [REVIEW]Theodore Hailperin - 1998 - Journal of Symbolic Logic 63 (1):332-333.
  46.  1
    Review: Hao Wang, A Formal System of Logic. [REVIEW]Theodore Hailperin - 1950 - Journal of Symbolic Logic 15 (3):228-229.
  47.  1
    Review: Daya, Symmetry, Transitivity and Reflexivity; S. Bhattacharyya, Symmetry, Transitivity and Reflexivity. [REVIEW]Theodore Hailperin - 1959 - Journal of Symbolic Logic 24 (2):185-186.
  48.  1
    Review: George Boole, Ivor Grattan-Guinness, Gerard Bornet, Selected Manuscripts on Logic and Its Philosophy. [REVIEW]Theodore Hailperin - 1998 - Journal of Symbolic Logic 63 (1):332-333.
  49. Arnold B. H.. Logic and Boolean Algebra. Prentice-Hall, Inc., Englewood Cliffs, N.J., 1962, Viii + 144 Pp. [REVIEW]Theodore Hailperin - 1964 - Journal of Symbolic Logic 29 (2):95-96.
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  50. A Complete Set Of Axioms For Logical Formulas Invalid In Some Finite Domain.Theodore Hailperin - 1961 - Mathematical Logic Quarterly 7 (6):84-96.
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