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 37, Issue 2

Publication Date: June, 1972

A simplification of combinatory Logic

Nicolas D. Goodman; 225-246

On Models with Power-Like Ordering

Saharon Shelah; 247-267

Ramsey's Theorem and Recursion Theory

Carl G. Jockusch; 268-280

Ordinal Recursion, and a Refinement of the Extended Grzegorczyk Hierarchy

S. S. Wainer; 281-292

Existentially Closed Structures

H. Simmons; 293-310

Which Number Theoretic Problems can be Solved in Recursive Progressions on $\Phi\frac{1}{1}$-Paths Through O?

G. Kreisel; 311-334

Some Model Theory of Abelian Groups

Paul C. Eklof; 335-342

Generalized Interpolation Theorems

Stephen J. Garland; 343-351

A Reduction Theorem for Predicate Logic

M. H. Lob; 352-354

A System of Abstract Constructive Ordinals

W. A. Howard; 355-374

Sufficient Conditions for the Undecidability of Intuitionistic Theories with Applications

Dov M. Gabbay; 375-384

General Models, Descriptions, and Choice in Type Theory

Peter B. Andrews; 385-394

General Models and Extensionality

Peter B. Andrews; 395-397

Reviews

Review: Richard T. Cox, Probability, Frequency and Reasonable Expectation; Richard T. Cox, The Algebra of Probable Inference

David Miller; 398-399

Review: R. Engelking, K. Kuratowski, Quelques Theoremes de L'algebre de Boole et Leurs applications topologiques

Perry Smith; 399-400

Review: F. E. J. Linton, Injective Boolean $\Sigma$-Algebras

Adil Yaqub; 400

Review: J. Donald Monk, Nontrivial $m$-Injective Boolean Algebras do not Exist

Adil Yaqub; 400

Review: S. R. Kogalovskij, On Universal Classes of Algebras

Leszek Pacholski; 400-401

Review: S. R. Kogalovskij, O Kvaziproektivnyh Klassah Modelej

Leszek Pacholski; 401

Review: S. R. Kogalovskij, Structural Characteristics of Universal Classes

Leszek Pacholski; 401-402

Review: S. R. Kogalovskij, Universal Classes of Models; Tadashi Ohkuma, Ultrapowers in Categories

Anne Preller; 402

Review: Frederic B. Fitch, Quasi-Constructive Foundations for Mathematics

Bruce Lercher; 402

Review: Hilary Putnam, Mathematics without Foundations

Georg Kreisel; 402-404

Review: Mariko Yasugi, Intuitionistic Analysis and Godel's Interpretation

A. S. Troelstra; 404

Review: Gottlob Frege, A Source Book in Mathematical Logic 1879-1931

Alonzo Church; 405

Review: Gert H. Muller, Nicht-Standardmodelle der Zahlentheorie

Abraham Robinson; 405-406

Review: Robert A. DiPaola, Pseudo-Complements and ordinnal Logics based on consistency statements; Robert A. DiPaola, Some properties of pseudo-complements of recursively enumerable sets

J. R. Shoenfield; 406

Review: J. C. E. Dekker, Les Fonctions combinatoires et les Isols

Alfred B. Manaster; 406

Review: John N. Crossley, Recursive equivalence: A survey; John N. Crossley, Recursive equivalence

Alfred B. Manaster; 406-407

Review: Louise Hay, The Co-simple isols

M. Hassett; 407-408

Review: Louise Hay, Elementary Differences Between the Isols and the co-simple isols

M. Hassett; 408

Review: John Myhill, Note on degrees of partial functions

Leonard P. Sasso; 408

Review: E. A. Polakov, Algebras of recursive functions); E. A. Polakov, On some properties of algebras of recursive functions

Elliott Mendelson; 408-409

[Omnibus Review]

Peter G. Hinman; 409-410

Review: M. A. Aizerman, L. A. Gusev, L. I. Rozonoer, I. M. Smirnova, A. A. Tal, The algorithmic Insolubility of the Problem of Recognizing the Representability of recursive events in finite automata

Joseph S. Ullian; 410-411

Review: Seymour Ginsburg, Some Remarks on Abstract Machines

Lars Lofgren; 411

Review: Paul W. Abrahams, Machine Verification of Mathematical Proof

John McCarthy; 411-412

Review: Michael A. Arbib, Theories of Abstract Automata

Arto Salomaa; 412-413

Review: Peter H. Starke, Abstrakte Automaten

Arto Salomaa; 413-414

Review: Gr. C. Moisil, Contribution a L'Etude Algebrique des Mecanismes Automatiques; Gr. C. Moisil, Gh. Ioanin, Sur le Fonctionnement des Schemas a Boutons Reels; G. C. Moisil, Theorie Algebrique du Fonctionnement des Schemas a Relais a Contacts Echelonnes

Emil Grosswald; 414-416

Review: Kimio Ibuki, Kenzi Naemura, Akihiro Nozaki, General Theory of Complete Sets of Logical Functions

William Wernick; 416-417

Review: V. Kudielka, P. Oliva, Complete Sets of Functions of Two and Three Binary Variables

William Wernick; 417

Review: Bishwambhar Pahi, Ralph C. Applebee, An Unsolvable Problem Concerning Implicational Calculi

M. D. Gladstone; 417

Review: Ian Hacking, What is Strict Implication?

David Makinson; 417

Review: M. J. Cresswell, The Interpretation of Some Lewis Systems of Modal Logic

Terence Parsons; 417-418

Review: Jaakko Hintikka, An Aristotelian Dilemma; Nicholas Rescher, Aristotle's Theory of Modal Syllogisms and Its Interpretation; Storrs McCall, Aristotle's Modal Syllogisms

Ivo Thomas; 418-419

Review: Benson Mates, Elementary Logic

Alonzo Church; 419-420

Review: David Crystal, Linguistics; Frank Palmer, Grammar

Alonzo Church; 420

Review: Nuel D. Belnap, An Analysis of Questions: Preliminray Report

David Harrah; 420-421

Review: A. N. Prior, The Autonomy of Ethics; J. M. Shorter, Professor Prior on the Autonomy of Ethics

B. J. Diggs; 421-422

Review: M. J. O'Carroll, Improper Self-Reference in Classical Logic and the Prediction Paradox; M. J. O'Carroll, A Three-Valued, Non-Levelled Logic Consistent for all Self-Reference

James Cargile; 422-423

Review: Timothy Smiley, Sense Without Denotation

Bas C. Van Fraassen; 423

Review: Rolf Schock, Contributions to Syntax, Semantics, and the Philosophy of Science

Theodore Hailperin; 423

Review: Rolf Schock, Logics Without Existence Assumptions

Theodore Hailperin; 424

Review: H. Leblanc, R. H. Thomason, Completeness Theorems for Some Presupposition-Free Logics

Theodore Hailperin; 424-425

Further Citations

425-429

Meeting of the Association for Symbolic Logic

Charles D. Parsons, Richard J. Orgass and Richmond H. Thomason; 430-447

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