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 36, Issue 4

Publication Date: December, 1971

Generalized Prime Models

Robert Fittler; 593-606

Negative Solution of the Decision Problem for Sentences True in Every Subalgebra of $<N, +>$

Ralph McKenzie; 607-609

Deducibility and Many-Valuedness

D. J. Shoesmith and T. J. Smiley; 610-622

Definability Problems for Modules and Rings

Gabriel Sabbagh and Paul Eklof; 623-649

On Descendingly Incomplete Ultrafilters

Kenneth Kunen and Karel Prikry; 650-652

Simplifications of the Recursion Scheme

M. D. Gladstone; 653-665

Reviews

[Omnibus Review]

Jonathan Bennett; 666-670

Review: Lynn E. Rose, Aristotle's Syllogistic

Ivan Boh; 670-671

Review: Judith Schoenberg, Belief and Intention in the Epimenides

Alonzo Church; 671-672

Review: Samuel Reiss, The Universe of Meaning

Perry Smith; 672

Review: Hugo Bergmann, Probleme des Existenzbegriffes

Jan Berg; 672-673

Review: Konrad Marc-Wogau, Bemerkungen Zum Begriff "Sinnesdatum" in der Diskussion der Letzten Jahre; Justus Hartnack, A Note on Existence. Remarks on Professor Konrad Marc-Wogau's "Bemerkungen zum Begriff `Sinnesdatum' in der Diskussion der Letzten Jahre" (Theoria XVI); Konrad Marc-Wogau, Bemerkung zum Ausdruck "Existiert." Antwort auf die Bemerkungen von Justus Hartnack

Jan Berg; 673

Review: A. Heyting, Some Remarks on Intuitionism

O. Chateaubriand; 673-674

Review: A. Heyting, After Thirty Years

O. Chateaubriand; 674

Review: A. Heyting, Methodes et Problemes de L'intuitionnisme

O. Chateaubriand; 674-675

Review: Jacques Sublet, Essai de Formalisation Complete du Raisonnement Mathematique sur la Base de Trois Operations

Frederic B. Fitch; 675

Review: Arthur Pap, Extensionality, Attributes, and Classes

Perry Smith; 675

Review: J. C. C. McKinsey, Patrick Suppes, On the Notion of Invariance in Classical Mechanics

Perry Smith; 675-676

Review: Heinrich Scholz, Concise History of Logic

G. T. Kneebone; 676-677

Review: Mark Kac, Stanislaw M. Ulam, Frederick A. Praeger, Mathematics and Logic. Retrospect and Prospects

David Booth; 677

Review: Hans Hermes, Einfuhrung in die Verbandstheorie

Pascual Jordan; 677

Review: A. P. Bowran, A Boolean Algebra Abstract and Concrete

Ann S. Ferebee; 677

Review: Moses Richardson, Fundamentals of Mathematics

William E. Gould; 678

Review: Richmond H. Thomason, Symbolic Logic

Hans Hermes; 678

Review: Gerald J. Massey, Understanding Symbolic Logic

Gordon Matthews; 678-679

Review: Gerson B. Robison, An Introduction to Mathematical Logic

William E. Gould; 679

Review: Hans Hermes, Term Logic with Choice Operator

Perry Smith; 679-680

Review: Thoralf A. Skolem, Abstract Set Theory

Perry Smith; 680

Review: Th. Skolem, Two Remarks on Set Theory; John H. Harris, On a Problem of Th. Skolem

Jean E. Rubin; 680

Review: V. Devide, A Proof of the Well-Ordering Theorem; Vladimir Devide, A Proof of Zermelo's Theorem

Garrel Pottinger; 681

Review: Gregorio Klimovsky, Tres Enunciados Equivalentes al Teorema de Zorn

Perry Smith; 681

Review: Kurt Hauschild, Eine Bemerkung zum Mengenbildungsaxiom

Bede Rundle; 681-682

Review: Leslie H. Tharp, On a Set Theory of Bernays

J. R. Shoenfield; 682

Review: Azriel Levy, On Models of Set Theory with Urelements

Elliott Mendelson; 682

Review: Wolfram Schwabhauser, On Models of Elementary Elliptic Geometry

L. W. Szczerba; 682

Review: Roman Sikorski, Products of Generalized Algebras and Products of Realizations

Donald Monk; 682

Review: Aubert Daigneault, Tensor Products of Polyadic Algebras

D. Ponasse; 683

Review: James Ax, Simon Kochen, Diophantine Problems Over Local Fields I; James Ax, Simon Kochen, Diophantine Problems Over Local Fields II. A Complete set of Axioms for $p$-adic number theory; James Ax, Simon Kochen, Diophantine Problems over Local Field III. Decidable Fields

Abraham Robinson; 683-684

Review: James Ax, On the Undecidability of Power Series Fields

Abraham Robinson; 684

Review: J. P. Ressayre, Sur les Theories du Premier Ordre Categoriques en un Cardinal

H. Jerome Keisler; 684-685

Review: Erwin Engeler, Zur Beweistheorie von Sprachen mit Unendlich Langen Formela

E. G. K. Lopez-Escobar; 685

Review: H. Jerome Keisler, Logic with the Quantifier There Exist Uncountably Many

Gebhard Fuhrken; 685-687

Review: K. L. de Bouvere, A Mathematical Characterization of Explicit Definability

Abraham Robinson; 687

Review: Yoshindo Suzuki, On the Uniformization Principle

Stephen J. Garland; 687

Review: Yoshindo Suzuki, A Complete Classification of the $\Delta\frac{1}{2}$-functions

Stephen J. Garland; 688

Review: A. Mostowski, Quelques Applications de la Topologie a La Logique Mathematique

Perry Smith; 688

Review: Richard Montague, Theories Incomparable with Respect to Relative Interpretability

S. Feferman; 688

Review: Jerzy Slupecki, Witold A. Pogorzelski, A Variant of the Proof of the Completeness of the First Order Functional Calculus

Perry Smith; 688-689

Review: Roman Suszko, A Note Concerning the Binary Quantifiers

Perry Smith; 689

Review: J. Kent Minichiello, An Extension of Negationless Logic

Paul C. Gilmore; 689

Review: Wolfgang E. Spiess, Friedrich G. Rheingans, Einfuhrung in das Programmieren in FORTRAN

Perry Smith; 689

Review: Alex Blum, The Missing Premiss

Ann S. Ferebee; 689

Review: Elvin Rasof, The Carrollian Matrix

Ann S. Ferebee; 689

Review: Richard Tursman, The Shortest Axioms of the Implicational Calculus; Ivo Thomas, Final Word on a Shortest Implicational Axiom

Ann S. Ferebee; 690

Review: Alan Rose, Extensions of Some Theorems of Schmidt and McKinsey, I

Ann S. Ferebee; 690

Review: Alan Rose, An Alternative Generalisation of the Concept of Duality

Gerald Standley; 690-691

Review: A. A. Zinov'ev, A Method of Describing the Truth-Functions of the n-Valued Propositional Calculus

I. Rosenberg; 691

Review: R. L. Graham, On n-Valued Functionally Complete Truth Functions

Norman M. Martin; 691

Review: Gerald J. Massey, Binary Closure-Algebraic Operations that are Functionally Complete

R. A. Bull; 691

Review: Boleslaw Sobocinski, Note on G. J. Massey's Closure-Algebraic Operation

R. A. Bull; 691

Review: R. M. Martin, Does Modal Logic Rest Upon a Mistake?

Perry Smith; 691

Review: F. R. Drake, On McKinsey's Syntactical Characterizations of Systems of Modal Logic

David Makinson; 691-692

Review: M. H. Lob, Extensional Interpretations of Modal Logics

David Makinson; 692

Review: David Makinson, A Normal Modal Calculus Between T and S4 without the Finite Model Property

Ronald Harrop; 692

Review: Alonzo Church, Laszlo Kalmar, An Independence Question in Recursive Arithmetic

Julia Robinson; 692-693

Review: V. S. Cernjavskii, J. M. Danskin, On a Class of Normal Markov Algorithms

P. Schreiber; 693

Review: Frank B. Cannonito, The Godel Incompleteness Theorem and Intelligent Machines

Perry Smith; 693

Review: Sheila A. Greibach, The Unsolvability of the Recognition of Linear Context-free Languages

Seymour Ginsburg; 693

Review: Robert W. Floyd, A Note on Mathematical Induction on Phrase Structure Grammars

Asa Kasher; 693-694

Review: B. G. Mirkin, An Algorithm for Constructing a Base in a Language of Regular Expressions

J. A. Brzozowski; 694

[Omnibus Review]

M. A. Harrison; 694-695

Meeting of the Association for Symbolic Logic

Michael O. Rabin and Michael Morley; 696-710

Association for Symbolic Logic

711-752

Index of Reviews

753-808

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