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 18, Issue 2

Publication Date: June, 1953

Miscellaneous front pages, J. Symbolic Logic, Volume 18, Issue 2 (1953)

An Extended Procedure in Quantificational Logic

Robert Stanley; 97-104

On Propositions Neither Necessary Nor Impossible

A. N. Prior; 105-108

Systems of Modal Logic Which are Not Unreasonable in the Sense of Hallden

J. C. C. McKinsey; 109-113

Paradox of the Class of All Grounded Classes

Shen Yuting; 114

Arithmetic with Creative Definitions by Induction

John Myhill; 115-118

On $\omega$-Inconsistency and a So-Called Axiom of Infinity

W. V. Quine; 119-124

Investigation of the Equivalence of the Axiom of Choice and Zorn's Lemma from the Viewpoint of the Hierarchy of Types

J. Richard Buchi; 125-135

Some Formal Relative Consistency Proofs

Robert McNaughton; 136-144

Inner Models for Set Theory--Part III

J. C. Shepherdson; 145-167

Reviews

Review: Rudolf Carnap, The Continuum of Inductive Methods

John G. Kemeny; 168-169

Review: Maria Kokoszynska, What Means "Relativity of Truth"?; Maria Kokoszynska, A Refutation of the Relativism of Truth

Carl G. Hempel; 170-171

Review: Henryk Mehlberg, Positivisme et Science. Premiere Partie. Analyse Logique du Postulat de Verificabilite

Carl G. Hempel; 171-173

Review: Jozef Iwanicki, Natural and Logistic Deduction

Henry Hiz; 173-174

Review: Georg H. v. Wright, An Essay in Modal Logic

Alan Ross Anderson; 174-176

Review: G. H. von Wright, Interpretations of Modal Logic

Alan Ross Anderson; 176-177

Review: Alonzo Church, The Weak Theory of Implication

Haskell B. Curry and William Craig; 177-178

Review: Alonzo Church, Brief Bibliography of Formal Logic

Max Black; 178

Review: Arthur W. Burks, The Logic of Programming Electronic Digital Computers

A. M. Turing; 179

Review: Nelson Goodman, New Notes on Simplicity

Frederic B. Fitch; 179

Review: J. Barkley Rosser, The Axiom of Infinity in Quine's New Foundations

Vaclav Edvard Benes; 179

Review: Moh Shaw-Kwei, A Note on the Theory of Quantification

Vaclav Edvard Benes; 179-180

Review: G. Kreisel, Note on Arithmetic Models for Consistent Formulae of the Predicate Calculus

Hao Wang; 180-181

Review: S. C. Kleene, Recursive Functions and Intuitionistic Mathematics

Andrzej Mostowski; 181-182

Review: Abraham Robinson, On the Application of Symbolic Logic to Algebra; Alfred Tarski, Some Notions and Methods on the Borderline of Algebra and Metamathematics

H. E. Vaughan; 182

Review: Einar Hille, Such Stuff as Dreams are Made on -- in Mathematics

Alonzo Church; 183

Further Citations

183-185

Problems

Hao Wang; 186

Fifteenth Meeting of the Association for Symbolic Logic

Atwell R. Turquette; 187-192

Miscellaneous back pages, J. Symbolic Logic, Volume 18, Issue 2 (1953)


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