Journal of Symbolic Logic

The Journal of Symbolic Logic publishes original scholarly work in symbolic logic. Founded in 1936, it has become the leading research journal in the field. The Journal aims to represent logic broadly, including its connections with mathematics and philosophy as well as newer aspects related to computer science and linguistics.


Volume 19, Issue 4

Publication Date: December, 1954

Volume Information

Miscellaneous front pages, J. Symbolic Logic, Volume 19, Issue 4 (1954)

The Formalization of Mathematics

Hao Wang; 241-266

The Recursive Irrationality of $|pi$

R. L. Goodstein; 267-274

Distributivity and An Axiom of Choice

George E. Collins; 275-277

Reviews

Review: H. Hermes, H. Scholz, Mathematische Logik

Hartley Rogers; 278-282

Review: Irving M. Copi, Symbolic Logic

Hugues Leblanc; 282-284

Review: Karl Egil Aubert, On the Foundation of the Theory of Relations and the Logical Independence of Generalized Concepts of Reflexivity, Symmetry and Transitivity

Frank Harary; 284-285

Review: Karl Egil Aubert, Relations Generalisees et Independance Logique des Notions de Reflexivite, Symetrie et Transitivite

Paul Bernays; 285-286

Review: Ladislav Rieger, On Free $\aleph_\xi$-Complete Boolean Algebras (with an Application to Logic)

Roman Sikorski; 286-287

Review: Roman Sikorski, A Note to Rieger's Paper "On Free $\aleph_\xi$-Complete Boolean Algebras."

Helena Rasiowa; 287

Review: C. Ryll-Nardzewski, The Role of the Axiom of Induction in Elementary Arithmetic

Robert McNaughton; 287-288

Review: Hao Wang, A Theory of Constructive Types

Steven Orey; 288

Review: Hao Wang, Negative Types

Steven Orey; 288-289

Review: Leon Henkin, Some Notes on Nominalism

George D. W. Berry; 289-290

Review: K. R. Popper, William Kneale, A. J. Ayer, Symposium: What Can Logic Do for Philosophy?

Charles A. Baylis; 290

Review: Ugo Cassina, L'Ideographie de Peano du Point de Vue de la Theorie du Language

Christopher Blake; 290-291

Review: N. O. Lossky, Analytic and Synthetic Propositions and Mathematical Logic

Christopher Blake; 291

Review: Francis V. Raab, A Criterion of Necessity

Christopher Blake; 291-292

Review: Takeo Sugihara, The Axiomatization of the Aristotelian Modal Logic

I. M. Bochenski; 292

Review: Robert Feys, Les Systemes Formalises des Modalites Aristoteliciennes

Naoto Yonemitsu; 292-293

Review: Boleslaw Sobocinski, Note on a Modal System of Feys-von Wright

Naoto Yonemitsu; 293

Review: Leo Simons, New Axiomatizations of S3 and S4

Naoto Yonemitsu; 293-294

Review: Ruth Barcan Marcus, Strict Implication, Deducibility, and the Deduction Theorem

P. G. J. Vredenduin; 294

Review: R. Feys, Old and New Logic of Modalities

P. G. J. Vredenduin; 294

Review: A. N. Prior, Three-Valued Logic and Future Contingents

Takeo Sugihara; 294

Review: Alan Rose, Some Self-Dual Primitive Functions for Propositional Calculi

Robert McNaughton; 294-295

Review: Alan Rose, A Formalisation of the 2-Valued Propositional Calculus with Self-Dual Primitives

Alonzo Church; 295

Review: Wilhelm Ackermann, Erweitertes System; Wilhelm Ackermann, Widerspruchsfreier Aufbau einer Typenfreien Logik. II

Ronald Harrop; 295-296

Review: G. F. C. Griss, Negationless Intuitionistic Mathematics II, III, IV

P. G. J. Vredenduin; 296-297

Review: N. A. Sanin, Some Operations on Logico-Arithmetical Formulas; N. A. Sanin, On Imbeddings of the Classical Logico-Arithmetical Calculus into the Constructive Logico-Arithmetical Calculus

Andrzej Mostowski; 297-298

Review: Paul Lorenzen, Uber das Prinzip "ex Falso Quodlibet."

K. Schutte; 298

Review: S. Jaskowski, Une Modification des Definitions Fondamentales de la Geometrie des Corps de M. A. Tarski

Robert McNaughton; 298

Review: Stanislaw Jaskowski, Quelques Problemes Actuels Concernant les Fondements des Mathematiques (Pewne Aktualne Zagadnienia z Zakresu Podstaw Matematyki)

Robert McNaughton; 298

Review: Ilona Bereczki, Nem Elemi Rekurziv Fuggveny Letezese (Existenze einer Nichtelementaren Rekursiven Funktion)

Rozsa Peter; 298-299

Review: A. Mostowski, A Lemma Concerning Recursive Functions and Its Applications

Rozsa Peter; 299-300

Review: Yehoshua Bar-Hillel, On Recursive Definitions in Empirical Sciences

Abner Shimony; 300

Review: Yehoshua Bar-Hillel, A Note on Comparative Inductive Logic

Abner Shimony; 300-301

Review: John G. Kemeny, A Logical Measure Function

Yehoshua Bar-Hillel; 301-302

Review: F. C. Copleston, Bertrand Russell

Robert Feys; 302

Review: Alejandro Diez Blanco, Nuevas Logicas

Robert Feys; 302

Review: P. Hoenen, Recherches de Logique Formelle. La Structure du Systeme des Syllogismes et des Sorites--La Logique des Notions "au moins" et "tout au plus."

Robert Feys; 302-303

Review: Gustavo Bueno Martinez, Una Nueva Exposicion de la Silogistica

Robert Feys; 304

List of Officers and Members of the Association for Symbolic Logic

305-314

Errata

Miscellaneous back pages, J. Symbolic Logic, Volume 19, Issue 4 (1954)


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