81 found
Order:
  1.  8
    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.
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   13 citations  
  3.  26
    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 (1):617-618.
    The paper begins with a more carefully stated version of ontologically neutral logic, originally introduced in. 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.
    Direct download  
     
    Export citation  
     
    Bookmark   7 citations  
  4. A Set of Axioms for Logic.Theodore Hailperin - 1944 - Journal of Symbolic Logic 9 (1):1-19.
    Direct download (8 more)  
     
    Export citation  
     
    Bookmark   9 citations  
  5.  34
    Karel Lambert. Notes on “E!“: II. Philosophical Studies , Vol. 12 , Pp. 1–5.Theodore Hailperin - 1967 - Journal of Symbolic Logic 32 (2):251.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark  
  6.  35
    George Boole. Selected Manuscripts on Logic and its Philosophy. Edited by Ivor Grattan-Guinness and Gérard Bornet. Science Networks Historical Studies, Vol. 20. Birkhäuser Verlag, Basel, Boston, and Berlin, 1997, Lxiv + 236 Pp. - Ivor Grattan-Guinness. Boole's Quest for the Foundations of His Logic. Therein, Pp. Xiii–Xlvii. - Gérard Bornet. Boole's Psychologism as a Reception Problem. Therein, Pp. Xlvii–Lviii. [REVIEW]Theodore Hailperin - 1998 - Journal of Symbolic Logic 63 (1):332-333.
  7.  72
    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.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  8.  7
    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.
    Direct download  
    Translate
     
     
    Export citation  
     
    Bookmark   4 citations  
  9. Remarks on Identity and Description in First-Order Axiom Systems.Theodore Hailperin - 1954 - Journal of Symbolic Logic 19 (1):14-20.
  10.  32
    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.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  11.  23
    John T. Kearns. Quantifiers and Universal Validity. Logique Et Analyse, N.S. Vol. 9 , Pp. 298–309. - George Goe. A Reconstruction of Formal Logic. Notre Dame Journal of Formal Logic, Vol. 7 , Pp. 129–157. - George Goe. Corrections to My Paper “A Reconstruction of Formal Logic.”Notre Dame Journal of Formal Logic, Vol. 7 , P. 158. [REVIEW]Theodore Hailperin - 1968 - Journal of Symbolic Logic 33 (1):137-138.
  12.  2
    [Omnibus Review].Theodore Hailperin - 1967 - Journal of Symbolic Logic 32 (2):252-252.
  13.  29
    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.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  14.  22
    Karel Lambert. Notes on E! III: A Theory of Descriptions. Philosophical Studies , Vol. 13 , Pp. 51–59. - Jaakko Hintikka. Definite Descriptions and Self-Identity.Philosophical Studies , Vol. 15 , Pp. 5–7. - Karel Lambert. Notes on E! IV. Philosophical Studies , Vol. 15 , Pp. 85–88. , P. 48.) - Karel Lambert. 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.
  15.  34
    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 (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  16.  22
    Max Beberman and Herbert E. Vaughan. High School Mathematics. Course 2. Plane Geometry with Appendices on Logic and Solid Geometry. D. C. Heath and Company, Boston, Englewood, Chicago, San Francisco, Atlanta, Dallas, London, and Toronto, 1965, Xi + 584 Pp. - Max Beberman and Herbert E. Vaughan. High School Mathematics. Course 2. Plane Geometry with Appendices on Logic and Solid Geometry. Teacher's Edition. D. C. Heath and Company, Boston, Englewood, Chicago, San Francisco, Atlanta, Dallas, London, and Toronto, 1965, 608 Pp. [REVIEW]Theodore Hailperin - 1966 - Journal of Symbolic Logic 31 (4):672-673.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark  
  17.  21
    Probability Logic.Theodore Hailperin - 1984 - Notre Dame Journal of Formal Logic 25 (3):198-212.
  18.  19
    Max Beberman and Herbert E. Vaughan. High School Mathematics. Course 1. Revised Edition of XXX 401. D. C. Heath and Company, Boston1964, Ix + 598 Pp. - Max Beberman and Herbert E. Vaughan. High School Mathematics. Course 1. Teacher's Edition. Revised Edition of XXX 401. D. C Heath and Company, Boston1964, Pages Irregularly Numbered. [REVIEW]Theodore Hailperin - 1966 - Journal of Symbolic Logic 31 (1):111-112.
  19.  19
    David Pager. An Emendation of the Axiom System of Hilbert and Ackermann for the Restricted Calculus of Predicates. The Journal of Symbolic Logic, Vol. 27 No. 2 , Pp. 131–138. [REVIEW]Theodore Hailperin - 1969 - Journal of Symbolic Logic 34 (3):520-520.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark  
  20.  39
    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 (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  21.  20
    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.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  22.  18
    Leon Henkin, W. Norman Smith, Verne J. Varineau, Michael J. Walsh. Retracing Elementary Mathematics. The Macmillan Company, New York1962, Xviii + 418 Pp. [REVIEW]Theodore Hailperin - 1964 - Journal of Symbolic Logic 29 (4):209.
  23.  18
    William H. Halberstadt. An Introduction to Modern Logic. An Elementary Textbook of Symbolic Logic. Harper & Brothers, New York1960, Xii + 221 Pp. [REVIEW]Theodore Hailperin - 1964 - Journal of Symbolic Logic 29 (1):43.
  24.  16
    Hubert H. Schneider. Semantics of the Predicate Calculus with Identity and the Validity in the Empty Individual-Domain. Portugaliae Mathematica, Vol. 17 , Pp. 85–96. - Hubert H. Schneider. 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.
  25.  8
    Logics Without Existence Assumptions.Theodore Hailperin - 1968 - Journal of Symbolic Logic 37 (2):424-424.
    Direct download  
     
    Export citation  
     
    Bookmark   6 citations  
  26.  15
    C. C. Chang and H. Jerome Keisler. An Improved Prenex Nomal Form. The Journal of Symbolic Logic, Vol. 27 No. 3 , Pp. 317–326.Theodore Hailperin - 1968 - Journal of Symbolic Logic 33 (3):479.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  27.  15
    Rolf Schock. Contributions to Syntax, Semantics, and the Philosophy of Science. Notre Dame Journal of Formal Logic, Vol. 5 No. 4 , Pp. 241–289. [REVIEW]Theodore Hailperin - 1972 - Journal of Symbolic Logic 37 (2):423.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  28.  14
    B. H. Arnold. 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.
  29.  13
    H. Leblanc and R. H. Thomason. Completeness Theorems for Some Presupposition-Free Logics. Fundamenta Mathematicae, Vol. 62 No. 2 , Pp. 125–164. [REVIEW]Theodore Hailperin - 1972 - Journal of Symbolic Logic 37 (2):424-425.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  30.  50
    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 (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  31.  30
    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.
  32.  7
    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.
  33.  31
    A Theory of Restricted Quantification I.Theodore Hailperin - 1957 - Journal of Symbolic Logic 22 (1):19-35.
    Direct download (10 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  34.  4
    A Set of Axioms for Logic.Theodore Hailperin - 1944 - Journal of Symbolic Logic 9 (3):73-74.
    Direct download  
     
    Export citation  
     
    Bookmark   5 citations  
  35.  38
    An Incorrect Theorem.Theodore Hailperin - 1965 - Journal of Symbolic Logic 30 (1):27.
  36.  6
    Distributive Normal Forms in the Calculus of Predicates.Theodore Hailperin - 1955 - Journal of Symbolic Logic 20 (1):75-76.
    Direct download  
     
    Export citation  
     
    Bookmark   3 citations  
  37.  11
    A Theory of Restricted Quantification II.Theodore Hailperin - 1957 - Journal of Symbolic Logic 22 (2):113-129.
    Direct download (9 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  38.  44
    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.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  39.  2
    Distributive Normal Forms in the Calculus of Predicates.Theodore Hailperin - 1955 - Journal of Symbolic Logic 20 (2):164-164.
    Direct download  
     
    Export citation  
     
    Bookmark   3 citations  
  40.  43
    Foundations of Probability in Mathematical Logic.Theodore Hailperin - 1937 - Philosophy of Science 4 (1):125-150.
  41.  15
    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 (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  42.  12
    Infinite Truth-Functional Logic.Theodore Hailperin - 1987 - Notre Dame Journal of Formal Logic 29 (1):28-33.
  43.  17
    A Form of Herbrand's Theorem.Theodore Hailperin - 1969 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 15 (7-12):107-120.
  44.  18
    Review: Nicholas Rescher, Definitions of "Existence."; Karel Lambert, Notes on "E!". [REVIEW]Theodore Hailperin - 1967 - Journal of Symbolic Logic 32 (2):251-251.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  45.  7
    Boole's Logic and Probability a Critical Exposition From the Standpoint of Contemporary Algebra, Logic, and Probability Theory.Theodore Hailperin - 1976
    Direct download  
     
    Export citation  
     
    Bookmark   1 citation  
  46.  2
    Quantification Theory and Empty Individual Domains.Theodore Hailperin - 1955 - Journal of Symbolic Logic 20 (3):284-284.
    Direct download  
     
    Export citation  
     
    Bookmark   2 citations  
  47.  31
    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.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark  
  48.  27
    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 (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark  
  49.  14
    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.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark  
  50.  8
    Foundations of Probability in Mathematical Logic.Theodore Hailperin - 1937 - Journal of Symbolic Logic 2 (2):95-96.
    Direct download  
     
    Export citation  
     
    Bookmark  
1 — 50 / 81