Alonzo Church
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- PhD Mathematics Princeton University
- Bachelors Mathematics Princeton University
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(Suggest an Edit or Addition)According to Wikipedia, Alonzo Church was an American mathematician, computer scientist, logician, and philosopher who made major contributions to mathematical logic and the foundations of theoretical computer science. He is best known for the lambda calculus, the Church–Turing thesis, proving the unsolvability of the Entscheidungsproblem , the Frege–Church ontology, and the Church–Rosser theorem. He also worked on philosophy of language . Alongside his doctoral student Alan Turing, Church is considered one of the founders of computer science.
Alonzo Church's Published Works
Published Works
- A formulation of the simple theory of types (1940) (2259)
- An Unsolvable Problem of Elementary Number Theory (1936) (1658)
- The calculi of lambda-conversion (1941) (1161)
- A note on the Entscheidungsproblem (1936) (720)
- A Set of Postulates for the Foundation of Logic (1932) (576)
- Introduction to Mathematical Logic (1991) (404)
- Review: A. M. Turing, On Computable Numbers, with an Application to the Entscheidungsproblem (1937) (397)
- On the concept of a random sequence (1940) (386)
- Some properties of conversion (1936) (333)
- Logic, arithmetic, and automata (1962) (261)
- A Formulation of the Logic of Sense and Denotation (1952) (229)
- Edward F. Moore. Gedanken-experiments on sequential machines. Automata studies , edited by C. E. Shannon and J. McCarthy, Annals of Mathematics studies no. 34, litho-printed, Princeton University Press, Princeton1956, pp. 129–153. (1958) (180)
- On Carnap's Analysis of Statements of Assertion and Belief (1950) (145)
- Intensional isomorphism and identity of belief (1954) (128)
- Comparison of Russell's resolution of the semantical antinomies with that of Tarski (1976) (121)
- Set Theory with a Universal Set (1974) (108)
- Logische Syntax der Sprache. (1975) (100)
- Existence and Description in Formal Logic (1973) (97)
- The Calculi of Lambda Conversion. (AM-6) (Annals of Mathematics Studies) (1985) (96)
- Astounding Science Fiction. (1952) (93)
- A Bibliography of Symbolic Logic (1936) (93)
- The Need for Abstract Entities in Semantic Analysis (1951) (82)
- Formal definitions in the theory of ordinal numbers (1937) (82)
- Outline of a Revised Formulation of the Logic of Sense and Denotation (Part II) (1973) (78)
- Introduction to Mathematical Logic. Volume I. (1957) (76)
- The constructive second number class (1938) (67)
- Carnap's Introduction to Semantics (1943) (66)
- A. M. Turing. On computable numbers, with an application to the Entscheidungs problcm. Proceedings of the London Mathematical Society , 2 s. vol. 42 (1936–1937), pp. 230–265. (1937) (53)
- A Revised Formulation of the Logic of Sense and Denotation. Alternative (1) (1993) (50)
- Review: Emil L. Post, A Variant of a Recursively Unsolvable Problem (1947) (47)
- Correction to A note on the Entscheidungsproblem (1936) (37)
- Analysis of Data When the Response is a Curve (1966) (36)
- Alternatives to Zermelo’s assumption (34)
- Review: Jan Lukasiewicz, The Shortest Axiom of the Implicational Calculus of Propositions (1948) (31)
- The Richard Paradox (1934) (31)
- Review: W. V. Quine, A Logistical Approach to the Ontological Problem (1939) (30)
- Review: Emil L. Post, Formal Reductions of the General Combinatorial Decision Problem (1943) (27)
- Review: D. A. Bocvar, On a Three-Valued Logical Calculus and its Application to the Analysis of Contradictions (1939) (25)
- Russellian Simple Type Theory (1973) (24)
- Some theorems on definability and decidability (1952) (23)
- Review: Edward F. Moore, Gedanken-Experiments on Sequential Machines (1958) (22)
- Propositions and Sentences (1957) (21)
- De Morgan, Augustus. (1975) (20)
- Introduction to Mathematical Logic. Part I (1944) (19)
- On the law of excluded middle (18)
- Review: Carew A. Meredith, Single Axioms for the Systems $(C, N), (C, 0)$ and $(A, N)$ of the Two- Valued Propositional Calculus (1954) (17)
- Conditioned disjunction as a primitive connective for the propositional calculus (1948) (17)
- A Proof of Freedom from Contradiction. (1935) (17)
- Review: Willard V. Quine, Notes on Existence and Necessity (1943) (16)
- Review: Garrett Birkhoff, John von Neumann, The Logic of Quantum Mechanics (1937) (16)
- Review: Alfred Jules Ayer, Language, Truth and Logic (1949) (16)
- Review: Howard H. Aiken, William Burkhart, Theodore Kalin, Peter F. Strong, Synthesis of Electronic Computing and Control Circuits (1953) (14)
- Zur Begrundung der Statistischen Transformationstheorie der Quantenphysik (1937) (12)
- Russell's Theory of Identity of Propositions in Philosophy of Science History of Science. (1984) (12)
- Review: George Boole, An Investigation of the Laws of Thought, on Which are Founded the Mathematical Theories of Logic and Probabilities (1951) (12)
- Review: M. H. Stone, The theory of Representations for Boolean Algebras (1936) (12)
- Review: P. S. Novikoff, On the Consistency of Certain Logical Calculus (1946) (11)
- Review: R. A. Kocourek, An Evaluation of Symbolic Logic (1949) (11)
- Reviews. Willard V. Quine. Notes on existence and necessity. The journal of philosophy , vol. 40 (1943), pp. 113–127. (1943) (11)
- Additions and corrections to A bibliography of symbolic logic (1938) (10)
- Special Cases of the Decision Problem (1951) (10)
- Review: Claude E. Shannon, A Symbolic Analysis of Relay and Switching Circuits (1953) (8)
- Schröder's anticipation of the simple theory of types (1976) (8)
- Post Emil L.. Finite combinatory processes—formulation 1. The journal of symbolic logic, vol. 1 (1936), pp. 103–105. (1937) (8)
- Review: Motinori Goto, Application of Logical Mathematics to the Theory of Relay Networks (1955) (8)
- Review: J. Findlay, Goedelian Sentences: A Non-Numerical Approach (1942) (7)
- Luitgard Wundheiler and Alex Wundheiler. Some logical concepts for syntax. Machine translation of languages, Fourteen essays , edited by William N. Locke and A. Donald Booth, John Wiley a Sons, New York1955 (co-published with The Technology Press), pp. 194–207. (1956) (7)
- Review: Jan Lukasiewicz, On Variable Functors of Propositional Arguments; C. A. Meredith, On an Extended System of the Propositional Calculus (1951) (7)
- Review: Norbert Wiener, Cybernetics. Or Control and Communication in the Animal and the Machine (1949) (7)
- Review: Everett W. Hall, Some Dangers in the Use of Symbolic Logic in Psychology (1942) (6)
- The Calculi of Lambda Conversion. (Am-6), Volume 6 (1985) (6)
- Schröder's anticipation of the simple theory of types (1939) (5)
- Review: Haskell B. Curry, The Inconsistency of Certain Formal Logics (1942) (5)
- Review: Willard V. Quine, Paul Arthur Schilpp, Whitehead and the Rise of Modern Logic (1942) (5)
- Review: Peter Geach, Max Black, Translations from the Philosophical Writings of Gottlob Frege (1953) (5)
- Review: Gottlob Frege, A Source Book in Mathematical Logic 1879-1931 (1972) (5)
- Review: Karel Lambert, Existential Import Revisited (1965) (4)
- Review: Paul Finsler, Gibt es Unentscheidbare Satze? (1946) (4)
- Review: Marvin Farber, The foundation of Phenomenology. Edmund Husserl and the Quest for a Rigorous Science of Philosophy (1944) (4)
- Self-Contradictory Propositions. (1940) (4)
- An Independence Question in Recursive Arithmetic (1971) (4)
- Farber Marvin. The foundation of phenomenology. Edmund Husserl and the guest for a rigorous science of philosophy. Harvard University Press, Cambridge, Mass., 1943, xi + 585 pp. (1944) (4)
- Review: Richard M. Friedberg, 4-Quantifier Completeness: A Banach-Mazur Functional not Uniformly Partial Recursive (1959) (3)
- Mathematics and Logic (1966) (3)
- Berkeley Edmund C.. The algebra of states and events. The scientific monthly, vol. 78 (1954), pp. 232–242. (1955) (3)
- Review: Edmund C. Berkeley, Boolean Algebra (The Technique for Manipulating "and," "or," "not," and Conditions) and Applications to Insurance (1938) (3)
- A bibliography of symbolic logic, 1666-1935 (1984) (3)
- Special Cases of the Decision Problem. A Correction (1952) (3)
- Review: L. Jonathan Cohen, Are Philosophical Theses Relative to Language? (1950) (3)
- Review: Timothy Smiley, On Lukasiewicz's L-Modal System (1962) (3)
- Quine Willard Van Orman. Mathematical logic. W. W. Norton & Company, New York 1940, xiii + 348 pp. (1940) (3)
- Review: Emil L. Post, Finite Combinatory Processes--Formulation 1 (1937) (3)
- Brief Bibliography of Formal Logic (1952) (3)
- Review: Julius Weinberg, A Possible Solution of the Heterological Paradox (1938) (3)
- Review: W. V. Quine, Introductory Note; Bertrand Russell, Mathematical Logic as Based on the Theory of Types (1974) (3)
- Review: Rudolf Carnap, Foundations of Logic and Mathematics (1939) (3)
- On irredundant sets of postulates (1925) (3)
- Grundlagen der Analysis (das Rechnen mit ganzen, rationalen, irrationalen, komplexen Zahlen) : Erganzung zu den Lehrbüchern der Differential- und Integralrechnung (1931) (2)
- Review: Peter Thomas Geach, On Rigour in Semantics; R. M. Martin, Mr. Geach on Mention and Use (1950) (2)
- Review: George Boole, The Mathematical Analysis of Logic, Being an Essay Towards a Calculus of Deductive Reasoning (1948) (2)
- Review: Yu. V. Matijasevic, Diophantine Representation of Recursively Enumerable Predicates (1972) (2)
- Review: Z. P. Dienes, On an Implication Function in Many-Valued Systems of Logic (1950) (2)
- Review: Dana Scott, Ralph Schoenman, Existence and Description in Formal Logic (1973) (2)
- Review: Frederic B. Fitch, The Problem of the Morning Star and the Evening Star (1950) (2)
- On the Form of Differential Equations of a System of Paths (2)
- Review: Janos Suranyi, Contributions to the Reduction Theory of the Decision Problem. Second Paper. Three Universal, One Existential Quantifiers (1953) (2)
- Wittgenstein Ludwig. Tractatus logico-philosophicus . With an introduction by Russell Bertrand. Fourth impression. Routledge & Kegan Paul, London 1949, 189 pp. (1950) (2)
- Principia: Volumes II and III (1928) (2)
- Review: Stuart Hampshire, Multiply General Sentences (1950) (2)
- Review: A. N. Prior, Symmetry, Transitivity and Reflexivity (1960) (2)
- Review: E. T. Whittaker, The New Algebras and Their Significance for Physics and Philosophy (1944) (2)
- Chwistek Leon. Überwindung des Begriffsrealismus. Studia philosphica, vol. 2 (offprint 1937) pp. 1–18. (1937) (2)
- Review: Augustus de Morgan, On the Syllogism and other Logical Writings by Augustus de Morgan (1976) (2)
- Review: John Myhill, A System Which can Define Its Own Truth (1956) (2)
- Review: Willard V. Quine, A Short Course in Logic. Chapters I-VII (1947) (2)
- Wiener Norbert. Cybernetics. Or control and communication in the animal and the machine. The Technology Press; John Wiley & Sons, Inc., New York; Hermann et Сie, Paris; 1948, 194 pp. (1949) (2)
- Review: Ernest Nagel, Logic Without Ontology (1945) (2)
- Uniqueness of the Lorentz Transformation (1924) (2)
- Review: Friedrich Waismann, Einfuhrung in Das Mathematische Denken. Die Begriffsbildung der Modernen Mathematik (1948) (2)
- Review: S. C. Kleene, A note on recursive functions (1936) (2)
- Quine on Logistic (1935) (2)
- Review: Karl Popper, The Logic of Scientific Discovery (1975) (2)
- Modality and Probability. (1937) (2)
- Review: Laszlo Kalmar, Contributions to the Reduction Theory of the Decision Problem. Fourth Paper Reduction to the Case of a Finite Set of Individuals (1953) (2)
- Wang Hao. Note on rules of inference. Zeitschrift für mathematische Logik und Grundlagen der Mathematik, vol. 11 (1965), pp. 193–196. (1975) (2)
- Review: Atwell R. Turquette, Godel and the Synthetic a Priori (1950) (2)
- Review: Nathaniel Lawrence, Heterology and Hierarchy (1950) (2)
- Schock Rolf. Some remarks on Russell's treatment of definite descriptions. Logique et analyse , n.s. vol. 5 (1962), pp. 77–80. (1963) (1)
- Review: Alexander Philipov, Ernest Nagel, Logic and Dialectic in the Soviet Union (1953) (1)
- Review: R. Harre, F. Waismann, How I see Philosophy (1973) (1)
- A generalization of Laplace's transformation (1966) (1)
- Review: Willard Van Orman Quine, Mathematical Logic (1940) (1)
- Review: G. Udny Yule, M. G. Kendall, An Introduction to the Theory of Statistics (1951) (1)
- Review: F. Waismann, A. G. N. Flew, Language Strata (1973) (1)
- Review: Solomon Hoberman, J. C. C. McKinsey, A Set of Postulates for Boolean Algebra (1937) (1)
- A of (1943) (1)
- Karl R. Popper. The logic of scientific discovery. Hutchinson & Co., Ltd., London1959, 480 pp. (1975) (1)
- Review: R. Bradshaw Angell, Note on a Less Restricted Type of Rule of Inference; R. B. Angell, The Sentential Calculus using Rule of Inference $R_e$ (1975) (1)
- Review: H. B. Curry, Remarks on the Definition and Nature of Mathematics (1957) (1)
- Review: Tameharu Shirai, On the Pseudo-Set (1954) (1)
- Review: Max Black, A Translation of Frege's Ueber Sinn und Bedeutung. Introductory Note (1948) (1)
- Review: Charles Hartshorne, Paul Weiss, Collected Papers of Charles Sanders Peirec (1969) (1)
- Quine Willard V.. Whitehead and the rise of modern logic. The philosophy of Alfred North Whitehead, edited by Schilpp Paul Arthur, Northwestern University, Evanston and Chicago 1941, pp. 127–163. (1942) (1)
- Review: G. H. v. Wright, On the Idea of Logical Truth (I); G. H. von Wright, Form and Content in Logic (1950) (1)
- Review: Lawrence M. Graves, The Theory of Functions of Real Variables (1947) (1)
- V. Functional Calculi of Second Order (1991) (1)
- Hartree Douglas R.. Calculating instruments and machines. The University of Illinois Press, Urbana 1949, ix + 138 pp. (1953) (1)
- Review: Alf Ross, Imperatives and Logic (1944) (1)
- Myhill John. A system which can define its own truth. Fundamenta mathematicae, vol. 37 (for 1950, pub. 1951), pp. 190–192. (1956) (1)
- Review: Harry Ruja, Good Logics and Bad (1940) (1)
- Prefatory statement to the index volume (1961) (1)
- Review: Soren Hallden, Certain Problems Connected with the Definitions of Identity and of Definite Descriptions Given in Principia Mathematica (1949) (1)
- Brentano Franz. Psychologie du point de vue empirique. Translation and preface by Gandillac Maurice de. Aubier, Editions Montaigne, Paris 1944, 461 pp. (1947) (1)
- Review: A. N. Prior, The Parva Logicalia in Modern Dress (1954) (1)
- Rashevsky N.. Mathematical biophysics. Revised edition. The University of Chicago Press, Chicago 1948, xxiii + 669 pp. (1949) (1)
- Review: W. V. Quine, On Existence Conditions for Elements and Classes (1943) (1)
- Review: Barkley Rosser, The Introduction of Quantification into a Three-Valued Logic (1939) (1)
- Dal Charles Gerneth. Generalization of Menger's result on the structure of logical formulas. Bulletin of the American Mathematical Society , vol. 54 (1948), pp. 803–804. (1948) (1)
- Review: Alfred J. Ayer, The Foundations of Empirical Knowledge (1941) (1)
- Fitch Frederic B.. The problem of the Morning Star and the Evening Star. Philosophy of science , vol. 16 (1949), pp. 137–141. (1950) (1)
- Review: W. V. Quine, Two Theorems about Truth-Functions (1954) (1)
- Newmak M. H. A.. Stratified systems of logic. Proceedings of the Cambridge Philosophical Society , vol. 39 (1943), pp. 69–83. (1944) (1)
- Hall Everett W.. Some dangers in the use of symbolic logic in psychology. Psychological review, vol. 49 (1942), pp. 142–169. (1942) (1)
- Wittgenstein Ludwig. Tractatus logico-philosophicus. With an introduction by Russell Bertrand. Spanish translation by Enrique Tierno Galvan. Revista de Occidente, Madrid 1957, 213 pp. (1958) (1)
- Review: Leon Henkin, Banishing the Rule of Substitution for Functional Variables (1955) (1)
- Review: John A. Carpenter, Omar K. Moore, Charles R. Snyder, Edith S. Lisansky, Alcohol and Higher-Order Problem Solving (1965) (1)
- Review: K. Chandrasekharan, Partially Ordered Sets and Symbolic Logic (1946) (1)
- Poincaré H.. Science and hypothesis. With an Introduction by Larmor J.. Dover Publications, New York 1952, xxvii + 244 pp.Poincaré Henri. Science and method. Dover Publications, New York 1952, 288 pp. (1953) (1)
- Quine Willard V.. A short course in logic. Chapters I-VII. Mimeographed. Harvard Cooperative Society, Cambridge, Mass., 1946, iv + 130 pp. (1947) (1)
- Review: Nelson Goodman, On Likeness of Meaning (1950) (1)
- Review: Edmund Landau, F. Steinhardt, Grundlagen der Analysis. (Das Rechnen mit Ganzen, Rationalen, Irrationalen, Komplexen Zahlen.) Erganzung zu den Lehrbuchern der Differential- und Integralrechnung (1946) (1)
- Runes Dagobert D.. Pictorial history of philosophy . Philosophical Library, New York 1959, x + 406 pp. (1959) (1)
- Review: Boleslaw Sobocinski, On a Universal Decision Element (1953) (1)
- Review: M. Lazerowitz, Self-Contradictory Propositions (1940) (1)
- Review: Hao Wang, Note on Rules of Inference (1975) (1)
- Review: Johann Mokre, Zu den Logischen Paradoxien (1963) (1)
- Review: Claude E. Shannon, Edward F. Moore, Machine Aid for Switching Circuit Design (1954) (1)
- Review: Andrew Ushenko, Dr. Quine's Theory of Truth-Functions (1942) (1)
- Introduction to Mathematical Logic (PMS-13), Volume 13 (1991) (1)
- Book Review: Foundations of Logic and Mathematics (1939) (1)
- Review: Rudolf Carnap, Logische Syntax der Sprache (1975) (1)
- Review: Leon Chwistek, Uberwindung des Begriffsrealismus (1937) (1)
- Review: Johann Jakob Burckhardt, Zur Neubegrundung der Mengenlehre (1938) (1)
- Nelson Everett J.. A note on contradiction: A protest. The philosophical review , vol. 45 (1936), pp. 505–508. (1936) (1)
- Review: P. T. Geach, On Insolubilia (1955) (1)
- Webb Donald L.. Definition of Post's generalized negative and maximum in terms of one binary operation. American journal of mathematics, vol. 58 (1936), pp. 193–194. (1936) (1)
- Review: M. H. A. Newman, Stratified Systems of Logic (1944) (1)
- Landau Edmund. Foundations of analysis. The arithmetic of whole, rational, irrational and complex numbers. A supplement to text-books on the differential and integral calculus . Translated by Steinhardt F.. Chelsea Publishing Company, New York 1951, xiv + 134 pp. (1951) (1)
- Schutz William C.. FIRO, A three-dimensional theory of interpersonal behavior. Rinehart & Company, Inc., New York 1958, xi + 267 pp. (1959) (1)
- Review: Benson Mates, Stoic Logic and the Text of Sextus Empiricus (1950) (1)
- Review: J. Los, R. Suszko, Remarks on Sentential Logics (1975) (1)
- Mathematical logic : Princeton University, October 1935 - January 1936 (1936) (1)
- Review: Theodore A. Kalin, Formal Logic and Switching Circuits (1953) (1)
- Review: Edmund Callis Berkeley, Giant Brains. Or Machines That Think (1950) (1)
- Review: Louis De Raeymaeker, Introduction a la Philosophie; L. De Raeymaeker, Inleiding tot de Wijsbegeerte (1949) (0)
- Review: R. P. Dilworth, Lattices with Unique Complements (1945) (0)
- Review: Charles Parsons, Herbert R. Kohl, Self-Reference, Truth, and Provability (1960) (0)
- Review: A. D. Ritchie, A Defence of Aristotle's Logic (1946) (0)
- Review: Susanne K. Langer, An Introduction to Symbolic Logic (1956) (0)
- Review: David Rynin, A Critical Essay on Johnson's Philosophy of Language (1947) (0)
- Review: Ivo Thomas, Some Laws of the Calculus of Quantifiers (1950) (0)
- Brumbaugh Robert S.. An Aristotelian defense of “non-Aristotelian” logics. The journal of philosophy, vol. 48 (1951), pp. 582–585. (1952) (0)
- Review: Erik Gotlind, A Note on Chwistek and Hetper's Foundation of Formal Metamathematics (1954) (0)
- Review: , The Three Basic Directions in the Foundations of Mathematics (1947) (0)
- H. R. Smart. Frege's logic. The philosophical review , vol. 54 (1945), pp. 489–505. (1945) (0)
- Review: G. H. R. Parkinson, Gottfried Wilhelm Leibniz, Leibniz, Logical papers (1968) (0)
- Bar-Hillel Yehoshua. Mr. Weiss on the paradox of necessary truth. Philosophical studies, vol. 6 (1955), pp. 92–93. (1956) (0)
- Claude E. Shannon. A symbolic analysis of relay and switching circuits . Reprinted 1952 by Edmund C. Berkeley and Associates, New York, i + 11 pp. (1953) (0)
- Review: Inocenty M. Bochenski, The Condition and the Needs of the History of Formal Logic (1950) (0)
- Ruja Harry. Good logics and bad. The philosophical review, vol. 49 (1940), pp. 346–355. (1940) (0)
- Review: A. Heyting, The Development of Intuitionistic Mathematics (1937) (0)
- Review: G. F. C. Griss, Negationless Intuitionistic Mathematics; J. Ridder, Ueber den Aussagen-und den Engeren Pradikatenkalkul; L. E. J. Brouwer, Richtlijnen der Intuitionistische Wiskunde (1948) (0)
- Lewis Clarence Irving and Langford Cooper Harold. Symbolic logic . Dover Publications, Inc., New York 1951, 7 pp. + pp. 3–506. (1951) (0)
- Review: Ludwig Wittgenstein, Tractatus Logico-Philosophicus (1950) (0)
- Review: Bernard Lonergan, The Form of Inference (1943) (0)
- Thomas Ivo. Some laws of the calculus of quantifiers. Dominican studies (Oxford), vol. 2 (1949), p. 285. (1950) (0)
- Sanchis Luis Elpidio. Nueva demostración de la completicidad funcional del cálculo proposicional bivalente. Notre Dame journal of formal logic, vol. 2 (1961), pp. 33–40. (1962) (0)
- Review: Aleksandr Sergeyevich Yesenin-Volpin, Svobodny filosofskij traktat: A Free Philosophical Treatise (1965) (0)
- Review: Crispin Kim-Bradley, Symbolic Logic and Metamathematics (1952) (0)
- Review: W. L. Van Der Poel, Some Selected Topics on Switching Algebra (1959) (0)
- INDEX OP THE PRINCIPAL FORMULAS INTRODUCED BY DEFINITION (1985) (0)
- Review: Evert Beth, The Paradoxes (1939) (0)
- Moisil Gr. C.. Les logiques à plusieurs valeurs et l'automatique. Infinitistic methods, Proceedings of the Symposium on Foundations of Mathematics, Warsaw, 2–9 September 1959 Państwowe Wydawnictwo Naukowe, Warsaw, and Pergamon Press, Oxford, London, New York, and Paris, 1961, pp. 337–345. (1971) (0)
- Mac Lane Saunders. Symbolic logic. The American mathematical monthly, vol. 46 (1939), pp. 289–296. (1939) (0)
- Review: Duane Studley, Algebra of Neural Nets (1949) (0)
- Review: Boleslaw Sobocinski, An Investigation of Protothetic (1950) (0)
- Wernick William. An enumeration of logical functions. Bulletin of the American Mathematical Society , vol. 45 (1939), pp. 885–887. (1940) (0)
- Review: C. W. Churchman, T. A. Cowan, A Challenge (1945) (0)
- Review: T. A. K. Kloyda, Bolzano, Bernhard (1975) (0)
- Index of Definitions (1991) (0)
- Review: William C. Schutz, FIRO, A Three-Dimensional Theory of Interpersonal Behavior (1959) (0)
- Review: B. A. Trakhtenbrot, Algorithms and Automatic Computing Machines (1963) (0)
- Review: Robert Feys, Logistique (1956) (0)
- Tarski Alfred. Introduction to logic and to the methodology of deductive sciences. Translated by Helmer Olaf. Second edition, revised. Oxford University Press, New York 1946, xviii + 239 pp. (1947) (0)
- Claude E. Shannon and Edward F. Moore. Machine aid for switching circuit design. Proceedings of the I.R.E. , vol. 41 (1953), pp. 1348–1351. (1954) (0)
- Cantor Georg. Contributions to the founding of the theory of transfinite numbers. Translated, and provided with an introduction and notes, by Philip E. B. Jourdain. Dover Publications, New York 1952, ix + 211 pp. (1952) (0)
- Review: L. S. Johnston, Another Form of the Russell Paradox (1940) (0)
- Review: Abraham A. Fraenkel, Abstract set theory (1963) (0)
- Review: Sze-Tsen Hu, Threshold Logic (1975) (0)
- Review: M. J. Charlesworth, Analytical Philosophy (1975) (0)
- Review: Alfred Tarski, The Completeness of Elementary Algebra and Geometry (1969) (0)
- Review: Akira Nakasima, Masao Hanzawa, Nippon Electrical Communication Engineering (1953) (0)
- Vaidyanathaswami R.. Inaugural address. The mathematics student, vol. 6 (1938), pp. 33–42. (1939) (0)
- Review: Raymond D. Bradley, Geometry and Necessary Truth (1969) (0)
- Kiely E. R.. Mathematics, history of. New Catholic encyclopedia , prepared by an editorial staff at the Catholic University of America, McGraw-Hill Book Company, New York etc. 1967, vol. 9, pp. 447–456. (1975) (0)
- To the editor or "mind" (1942) (0)
- Review: Arthur W. Burks, Jesse B. Wright, Theory of Logical Nets (1954) (0)
- Review: S. C. Kleene, Errata. Arithmetical Predicates and Function Quantifiers (1957) (0)
- Kattsoff Louis Osgood. Modality and probability. The philosophical review, vol. 46 (1937), pp. 78–85. (1937) (0)
- Review: Robert Edouard Moritz, On Mathematics and Mathematicians (1959) (0)
- Kamke E.. Theory of sets. Translated from the second German edition by Bagemihl Frederick. Dover Publications, New York 1950, vii + 144 pp. (1950) (0)
- Review: C. G. Hempel, Geometry and Empirical Science; Morris R. Cohen, Ernest Nagel, An Introduction to Logic and Scientific Method (1946) (0)
- List of officers and members of the Association for Symbolic Logic (1941) (0)
- Hailperin Theodore. An incorrect theorem. The journal of symbolic logic , vol. 30 (1965), p. 27. (1966) (0)
- Birkhoff Garrett. An extended arithmetic. Duke mathematical journal, vol. 3 (1937), pp. 311–316.Birkhoff Garrett. Generalized arithmetic. Duke mathematical journal, vol. 9 (1942), pp. 283–302. (1942) (0)
- Birkhoff Garrett. Lattice theory . Revised edition. American Mathematical Society Colloquium publications, vol. 25. American Mathematical Society, New York 1948, xiii + 283 pp. (1950) (0)
- Geach Peter Thomas. On rigour in semantics. Mind, n. s. vol. 58 (1949), pp. 518–522.Martin R. M.. Mr. Geach on mention and use. Mind, n. s. vol. 58 (1949), pp. 523–524. See Corrigenda, ibid., vol. 59 (1950), p. 144. (1950) (0)
- Review: R. M. Martin, On Types, Denotation, and Truth (1954) (0)
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- Zemanek Heinz. Automaten und Denkprozesse. German, with summaries in German, English, and French. Digitale Informationswandler — Digital information processors , edited by Walter Hoffmann Friedr. Vieweg a Sohn, Braunschweig, and Interscience Publishers, New York, 1962, pp. 1–66. (1965) (0)
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- Fischer Hugo. Zum Problem der Übertragung mathetischer Prinzipien: Die “Allgemeine Semantik.” Eine nichtaristotelische Wertungslehre Alfred Korzybskis. Studium generale , vol. 6 (1953), pp. 361–368. (1954) (0)
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- Péter Rózsa. Über die Verallgemeinerung der Theorie der rekursiven Funktionen für abstrakte Mengen geeigneter Struktur ah Definitionsbereiche. Acta mathematica Academiae Scientiarum Hungaricae , vol. 12 (1961), pp. 271–314, and vol. 13 (1962), pp. 1-24. (1975) (0)
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- Hilbert D. and Ackermann W.. Grundzüge der theoretischen Logik . Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, vol. 27. 3rd edn., Springer-Verlag, Berlin-Göttingen-Heidelberg 1949, VIII + 155 pp. (1950) (0)
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- Hansi Piesch. Begriff der allgemeinen Schaltungstechnik. Archiv für Elektrotechnik , vol. 33 (1939), pp. 672–686. - Hansi Piesch. Über die Vereinfachung von allgemeinen Schaltungen. Archiv für Elektrotechnik , vol. 33 (1939), pp. 733–746. (1965) (0)
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- Pedoe Dan. The gentle art of mathematics. With drawings by Tayeb Griselda El. The English Universities Press Limited, London 1958, and The Macmillan Company, New York 1959, 143 pp. Second edition, Collier Books, New York 1963, 159 pp. (1966) (0)
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- Breuer Joseph. Introduction to the theory of sets. Translated by Fehr Howard Franklin. Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1958, viii + 108 pp. (1958) (0)
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- Friedrich Waismann. Introduction to mathematical thinking. The formation of concepts in modern mathematics . With a foreword by Karl Menger. Translated by Theodore J. Benac. Frederick Ungar Publishing Co., New York1951, XI + 260 pp. (1952) (0)
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- Wedberg Anders. The Aristotelian theory of classes. Ajatus (Helsinki), vol. 15 (for 1948, pub. 1949), pp. 299–314. (1950) (0)
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- Brouwer L. E. J.. Consciousness, philosophy, and mathematics. Actes du Χme Congrès International de Philosophie (Amsterdam, 11–18 août, 1948)—Proceedings of the Tenth International Congress of Philosophy (Amsterdam, August 11–18, 1948) , North-Holland Publishing Company, Amsterdam 1949, pp. 1235–124 (1949) (0)
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- Dodd Stuart Carter. Dimensions of society. A quantitative systematics for the social sciences. The Macmillan Company, New York 1942, ix + 944 pp. (1942) (0)
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- Review: Max Black, A New Method of Presentation of the Theory of the Syllogism (1945) (0)
- List of Officers and Members of the Association for Symbolic Logic (1958) (0)
- Rose Alan. A formalization of the C-0 propositional calculus. Proceedings of the Cambridge Philosophical Society, vol. 47 (1951), pp. 635–636. (1952) (0)
- List of officers and members of the Association for Symbolic Logic (1960) (0)
- Farinelli U. and Gamba A.. Physics and mathematical logic. Il nuovo cimento, ser. 10 vol. 1 (1955), pp. 1152–1158. (1955) (0)
- Review: Laszlo Kalmar, Contributions to the Reduction Theory of the Decision Problem. Third Paper. Prefix $(x_1)(Ex_2)\cdots(Ex_{n-2})(x_{n-1})(x_n)$, a Single Binary Predicate (1952) (0)
- Review: K. Marc-Wogau, Remarks Concerning the Latest Discussion on Sense-Data (1949) (0)
- Review: Francis C. Wade, John of St. Thomas, Outline of Formal Logic (1959) (0)
- Post Emil L.. Formal reductions of the general combinatorial decision problem. American journal of mathematics, vol. 65 (1943), pp. 197–215. (1943) (0)
- Bauer F. L.. Zur Algebraik des Logikkalküls. Methodos, vol. 1 (1949), pp. 288–292. (1951) (0)
- Review: Jerrold J. Katz, The Problem of Induction and Its Solution (1971) (0)
- Goddard L.. ‘True’ and ‘provable’. Mind , n.s. vol. 67 (1958), pp. 13–31. (1960) (0)
- Review: Alan Rose, A Formalisation of the 2-Valued Propositional Calculus with Self-Dual Primitives (1954) (0)
- Ushenko Andrew Dr. Quine's theory of truth-functions. The journal of philosophy, vol. 39 (1942), pp. 64–67.Quine Willard V.. Reply to Professor Ushenko. The journal of philosophy, vol. 39 (1942), pp. 68–71. (1942) (0)
- H. B. Smith. The algebra of propositions. Philosophy of science , vol. 3 (1936), pp. 551–578. (1937) (0)
- Dilworth R. P.. Lattices with unique complements. Transactions of the American Mathematical Society , vol. 57 (1945), pp. 123–154. (1945) (0)
- III. Functional Calculi of First Order (1991) (0)
- Reviews. Louis De Raeymaeker. Introduction à la philosophie Editions de l'Institut Supérieur de Philosophie, Louvain 1938. Second edition, ibid. 1944, 272 pp. (1948) (0)
- Review: Georg Cantor, Philip E. B. Jourdain, Contributions to the Founding of the Theory of Transfinite Numbers (1952) (0)
- Review: Thoralf Skolem, On the Proofs of Independence of the Axioms of the Classical Sentential Calculus (1953) (0)
- McKinsey J. C. C.. Reducible Boolean functions. Bulletin of the American Mathematical Society , vol. 42 (1936), pp. 263–267. (1936) (0)
- Carmichael Peter A.. Animadversion on the null class. Philosophy of science , vol. 10 (1943), pp. 90–94. (1943) (0)
- IV. The Pure Functional Calculus of First Order (1991) (0)
- Anscombe G. E. M.. Before and after. The philosophical review , vol. 73 (1964), pp. 3–24. (1971) (0)
- Review: Alan Rose, Self-Dual Primitives for Modal Logic (1953) (0)
- Review: C. C. H. Barker, Some Calculations in Logic (1957) (0)
- Montague Richard and Tarski Jan. On Bernstein's self-dual set of postulates for Boolean algebras. Proceedings of the American Mathematical Society , vol. 5 (1954), pp. 310–311. (1962) (0)
- Max Black. A new method of presentation of the theory of the syllogism. The journal of philosophy , vol. 42 (1945), pp. 449–455. (1945) (0)
- Menger Karl. Are variables necessary in calculus? The American mathematical monthly , vol. 56 (1949), pp. 609–620. (1950) (0)
- Marc-Wogau K.. Remarks concerning the latest discussion on sense-data. Actes du Xme Congrès International de Philosophie (Amsterdam, 11–18 août, 1948)—Proceedings of the Tenth International Congress of Philosophy (Amsterdam, August 11–18,1948) , North-Holland Publishing Company, Amsterdam 1949, pp. (1949) (0)
- Kraft Victor. The Vienna Circle. The origin of neo-positivism. A chapter in the history of recent philosophy. English translation of XVII 62(1) by Pap Arthur. Philosophical Library, New York 1953, xii + 209 pp. (1955) (0)
- Review: Ernest H. Hutten, A Note on Semantics (1950) (0)
- Review: E. W. Beth, Decision Problems of Logic and Mathematics (1957) (0)
- Esser Gerard. Logica, in usum scholarum . The Mission Press, Techny, Ill., 1942, xv + 247 pp. (1943) (0)
- Review: Alfred Tarski, Olaf Helmer, Introduction to Logic and to the Methodology of Deductive Sciences (1941) (0)
- Moore Omar K. and Lewis Donald J.. Learning theory and culture. Psychological review, vol. 59 (1952), pp. 380–388. (1959) (0)
- Wellmuth John J.. Some comments on the nature of mathematical logic. The new scholasticism, vol. 16 (1942), pp. 9–15. (1942) (0)
- Review: Leonard Linsky, On Using Inverted Commas (1951) (0)
- Review: E. J. E. Huffer, (Logistiek en wetenschapsleer) Logistic and Methodology of Science; R. Feys, (Logica en wijsbegeerte van de wiskunde) Logic and Philosophy of Mathematics (1952) (0)
- Review: Henry Winthrop, Metalypsis and Paradox in the Concept of Metalanguage (1947) (0)
- Boole George. An investigation of the laws of thought, on which are founded the mathematical theories of logic and probabilities. Dover Publications, Inc., New York 1951, 11 + 424 pp. (1951) (0)
- J. Łos and R. Suszko. Remarks on sentential logics. Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings , ser. A vol. 61 (1958), pp. 177–183; also Indagationes mathematicae, vol. 20 (1958), pp. 177-183. (1975) (0)
- Lonergan Bernard. The form of inference. Thought, vol. 18 (1943), pp. 277–292. (1943) (0)
- Gonzalez M. O. and Mancill J. D.. Remarks on natural numbers. The American mathematical monthly, vol. 58 (1951), pp. 186–188. (1951) (0)
- Dienes Z. P.. On an implication function in many-valued systems of logic. The journal of symbolic logic, Bd. 14 (1949), pp. 95–97. (1950) (0)
- Review: Ivo Thomas, The Rule of Excision in Positive Implication (1975) (0)
- Goodman Nelson. On a pseudo-test of translation. Philosophical studies, vol. 3 (1952), pp. 81–82. (1955) (0)
- Review: Ian Rawlins, Aesthetics and the Gestalt (1962) (0)
- Review: Gilbert Varet, Paul Kurtz, International Directory of Philosophy and Philosophers (1967) (0)
- Review: Robert S. Brumbaugh, An Aristotelian Defense of "Non-Aristotelian" Logics (1952) (0)
- Herzberger Hans G.. The logical consistency of language. Langmage and learning, edited by Emig Janet A., Fleming James T., and Popp Helen M., Harcourt, Brace & World, Inc., New York-Chicago-Burlingame 1966, pp. 250–263. (1968) (0)
- Review: Hans Reichenbach, The Rise of Scientific Philosophy (1956) (0)
- Vaidyanathaswamy R.. On disjunction in intuitionist logic. Proceedings of the Indian Academy of Sciences, Section A, vol. 17 (1943), pp. 41–45. (1944) (0)
- Clark Joseph T.. Contemporary science and deductive methodology. Proceedings of the American Catholic Philosophical Association, vol. 26 (1952), pp. 3–40. (1957) (0)
- Review: A. Dumitriu, The Antinomy of the Theory of Types (1972) (0)
- Wolf A.. Textbook of logic. Second edition revised and enlarged. George Allen & Unwin, London 1938 (reprinted 1943, 1948), 455 pp. (1949) (0)
- Winthrop Henry. Metalypsis and paradox in the concept of metalanguage. The philosophical review , vol. 54 (1945), pp. 607–610. (1947) (0)
- Review: William G. Leavitt, Boolean Algebra and Circuit Analysis (1958) (0)
- Freund John E.. Chapter 23: Logic. A modern introduction to mathematics, by Freund John E., Prentice-Hall, Inc., Englewood Cliffs, N.J., 1956, pp. 415–449. (1957) (0)
- Frege Gottlob. Aritmetica e logica. Translation and notes by Geymonat L.. Biblioca di cultura scientifica XVIII. Giulio Einaudi, Turin 1948, 269 pp. (1948) (0)
- Copi Irving M. (Copilowish). Modern logic and the synthetic a priori. The journal of philosophy, vol. 46 (1949), pp. 243–245. (1950) (0)
- Ullian Joseph. Mathematical objects. Philosophy of science, The Delaware seminar , Volume 1, 1961-1962, edited by Baumrin Bernard, Interscience Publishers, New York and London 1963, pp. 187–205. (1975) (0)
- Review: Garrett Birkhoff, Theorie et Applications des Treillis (1950) (0)
- Hanson Norwood Russell. The Gödel theorem. An informal exposition. Notre Dame journal of formal logic, vol. 2 (1961), pp. 94–110. (1962) (0)
- Review: Leonard Linsky, Sematics and the Philosophy of language (1956) (0)
- Review: Baruch Germansky, Problem (1953) (0)
- Chapter V. THE CALCULI OF λ-K-CONVERSION AND λ-δ- CONVERSION (1985) (0)
- Boehner Philotheus. Introduction. Ockham, Philosophical writings, A selection edited and translated by Philotheus Boehner, O.F.M.†, Thomas Nelson and Sons, Edinburgh 1957, pp. ix–lix. (1958) (0)
- Hu Sze-Tsen. Elementary functions and coordinate geometry. Markham Publishing Company, Chicago 1969, xvii + 349 pp. (1969) (0)
- Hurley Richard B.. Transistor logic circuits. John Wiley & Sons, Inc., New York and London 1961, xvi + 363 pp. (1968) (0)
- Kleene S. C.. Errata. Arithmetical predicates and function quantifiers. Transactions of the American Mathematical Society, vol. 80 (1955), p. 386, and vol. 81 (1956), p. 524. (1957) (0)
- H. M. MacNeille. Extensions of partially ordered sets. Proceedings of the National Academy of Sciences , vol. 22 (1936), pp. 45–50. (1936) (0)
- Review: E. T. Bell, The Development of Mathematics (1940) (0)
- Review: Robert McNaughton, Logical and Combinatorial Problems in Computer Design (1957) (0)
- Mr. Weiss on the paradox of necessary truth (1956) (0)
- Review: M. H. A. Newman, The Calculus of Sets (1939) (0)
- Review: W. A. Wallace, Logic, Symbolic (1975) (0)
- Review: Richard von Mises, Scientific Conception of World. On a New Textbook of Positivism (1948) (0)
- Review: Peter A. Carmichael, Animadversion on the Null Class (1943) (0)
- Review: Baruch Germansky, An Alternative Proof of a Theorem of Equivalence Concerning Axioms of Natural Numbers (1950) (0)
- Morris Charles. Signification and significance. A study of the relation of signs and values. The M.I.T. Press, Cambridge, Mass., 1964, x + 99 pp. (1968) (0)
- Review: C. West Churchman, F. P. Clarke, M. C. Nahm, Towards a General Logic of Propositions (1943) (0)
- List of officers and members of the Association for Symbolic Logic (1951) (0)
- Review: Evert Beth, Mathematics, Logic, and Philosophy of Science at the Congres-Descartes (1938) (0)
- Review: Norwood Russell Hanson, A Note on the Godel Theorem (1963) (0)
- Review: Paul Turan, On the Work of Alan Baker; Alan Baker, Effective Methods in the Theory of Numbers (1972) (0)
- Review: H. Poincare, Science and Hypothesis; Henri Poincare, Science and Method (1953) (0)
- Review: Luitgard Wundheiler, Alex Wundheiler, William N. Locke, A. Donald Booth, Some Logical Concepts for Syntax (1956) (0)
- Leggett H. W.. Bertrand Russell, O. M. A pictorial biography . Philosophical Library, New York 1950, 79 pp. (1951) (0)
- Basson A. H. and O'Connor D. J.. Introduction to symbolic logic . Third edition. The Free Press, Glencoe, III., 1960, viii + 175 pp. (1963) (0)
- Charles Morris. Signs, language, and behavior . George Braziller, Inc., New York1955, xii + 365 pp. (1957) (0)
- Review: Norman M. Martin, On Completeness of Decision Element Sets (1954) (0)
- Review: C. Kim-Bradley, Astounding Science Fiction (1952) (0)
- List of officers and members of the Association for Symbolic Logic (1962) (0)
- Review: Ivo Thomas, CS(n): An Extension of CS (1950) (0)
- Mates Benson. Elementary lope . Second edition of XXXI 483. Oxford University Press, New York 1972, xii + 237 pp. (1972) (0)
- Quine W. V.. On existence conditions for elements and classes. The journal of symbolic logic, vol. 7 (1942), pp. 157–159. (1943) (0)
- Review: Curt Christian, A Proof of the Inconsistency of Quine's System "Mathematical Logic (1951)." (1956) (0)
- Review: Henry S. Leonard, The Logic of Existence (1963) (0)
- Review: H. A. Nielsen, Linguistic Analysis (1975) (0)
- Serrell Robert. Elements of Boolean algebra for the study of information-handling systems. Proceedings of the I.R.E., vol. 41 (1953), pp. 1366–1380.Serrell Robert. Correction. Proceedings of the I.R.E., vol. 42 (1954), p. 475. (1954) (0)
- Review: E. N. Gilbert, N-Terminal Switching Circuits (1965) (0)
- Communications of the international union of history and philosophy of science division of logic, methodology and philosophy of science (2004) (0)
- CORRECTION AND ADDITIONS (1985) (0)
- Review: H. M. MacNeille, Extensions of Partially Ordered Sets (1936) (0)
- Review: Soren Hallden, A Note Concerning the Paradoxes of Strict Implication and Lewis's System S1 (1949) (0)
- Sellars Wilfrid. Acquaintance and description again. The journal of philosophy, vol. 46 (1949), pp. 496–504. (1950) (0)
- Review: Frank Restle, Psychology of Judgment and Choice: A Theoretical Essay (1960) (0)
- Introduction to Logic . Patrick Suppes. Van Nostrand, Princeton, N.J., 1957. xviii+312 pp. $5.50. (1957) (0)
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