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 35, Issue 1

Publication Date: March, 1970

Miscellaneous front pages, J. Symbolic Logic, Volume 35, Issue 1 (1970)

Algebraic Completeness Results for $R$-Mingle and Its Extensions

J. Michael Dunn; 1-13

The Number of Countable Models

Michael Morley; 14-18

On an Algebra of Sets of Finite Sequences

J. Donald Monk; 19-28

Turing Degrees and Many-One Degrees of Maximal Sets

Manuel Lerman; 29-40

A Theorem on Initial Segments of Degrees

S. K. Thomason; 41-45

On a Question of G. E. Sacks

Kempachiro Ohashi; 46-50

A Universal Embedding Property of the RETs

Anil Nerode and Alfred B. Manaster; 51-59

Every Analytic Set is Ramsey

Jack Silver; 60-64

Almost Combinatorial Skolem Functions

Erik Ellentuck; 65-72

On Theories $T$ Categorical in $|T|$

Saharon Shelah; 73-82

On the Cardinality of Ultraproduct of Finite Sets

Saharon Shelah; 83-84

Bases and $\alpha$-Dimensions of Countable Vector Spaces with Recursive Operations

Alan G. Hamilton; 85-96

An Algebraic Characterization of Indistinguishable Cardinals

A. B. Slomson; 97-104

Tense Logic for Discrete Future Time

Patrick Schindler; 105-118

A Problem in the Theory of Constructive Order Types

Robin O. Gandy and Robert I. Soare; 119-121

Reviews

Review: Ernest A. Moody, The Medieval Contribution to Logic; Ernest A. Moody, A Quodlibetal Question of Robert Holkot, O.P., on the Problem of the Objects of Knowledge and of Belief; Ernest A. Moody, Buridan and a Dilemma of Nominalism

Desmond Paul Henry; 122-124

[Omnibus Review]

Richard C. Jeffrey; 124-127

Review: Henry E. Kyburg, Probability and the Logic of Rational Belief

Peter Krauss; 127-128

Review: Henry E. Kyburg, Probability and Randomness

Peter Krauss; 129

Review: Henry E. Kyburg, Demonstrative Induction

Peter Krauss; 129

Review: Patrick Suppes, Measurement, Empirical Meaningfulness, and Three-Valued Logic; Patrick Suppes, J. W. Addison, Leon Henkin, Alfred Tarski, Logics Appropriate to Empirical Theories

Robert L. Causey; 129-131

Review: W. A. Verloren van Themaat, Raumliche Vorstellung und Mathematisches Erkenntnisvermogen. Erster Band

Hans Freudenthal; 131-132

Review: Haig Khatchadourian, Frege on Concepts

Michael D. Resnik; 132

Review: Richard M. Martin, On Acting on a Belief

J. Jay Zeman; 132

Review: J. F. Staal, Some Semantic relations Between Sentoids

Gilbert H. Harman; 132-133

Review: Erik Stenius, Mood and Language-Game; Lennart Aqvist, Semantic and Pragmatic Characterizability of Linguistic Usage

Bruce Vermazen; 133-134

Review: Hector-Neri Castaneda, `Ought' and Assumption in Moral Philosophy

Jonathan Bennett; 134-135

Review: Saul A. Kripke, Semantical Analysis of Modal Logic II. Non-Normal Modal Propositional Calculi; R. Routley, H. Montgomery, The Inadequacy of Kripke's Semantical Analysis of D2 and D3

David Makinson; 135

Review: D. Makinson, On Some Completeness Theorems in Modal Logic

Lennart Aqvist; 135-136

Review: E. J. Lemmon, An Extension Algebra and the Modal System T; E. J. Lemmon, Algebraic Semantics for Modal Logics

David Makinson; 136-137

Review: M. J. Cresswell, Note on a System of Aqvist; M. K. Rennie, $S3(S) = S3.5$

Krister Segerberg; 137

Review: H. Rasiowa, R. Sikorski, An Application of Lattices to Logic

Donald Monk; 137

Review: A. Bialynicki-Birula, H. Rasiowa, On Constructible Falsity in the Constructive Logic with Strong Negation

David Nelson; 138

Review: V. A. Jankov, Sue Walker, Some Superconstructive Propositional Calculi; V. A. Jankov, Elliott Mendelson, Realizable formulas of Propositional Logic; V. A. Jankov, Elliott Mendelson, The Relationship Between Deducibility in the Intuitionist Propositional calculus and Finite Implicational Structures

Gene F. Rose; 138-139

Review: Antonio Diego, Jean Porte, Luisa Iturrioz, Sur les Algebres de Hilbert

C. G. McKay; 139

Review: T. Thacher Robinson, Independence of Two Nice Sets of Axioms for the Propositional Calculus

John R. Chidgey; 139-140

Review: Karl Schroter, Methoden zur Axiomatisierung Beliebiger Aussagen- und Pradikatenkalkule

J. Barkley Rosser; 140

Review: Rolf Schock, On Finitely Many-Valued Logics; Rolf Schock, On Denumerably Many-Valued Logics; R. Schock, Some Theorems on the Relative Strengths of Many-Valued Logics

Robert K. Meyer; 140-142

Review: Alan Rose, Formalisation du Calcul Propositionnel implicatif a $\aleph_0$-Valued Lukasiewicz Propositional Calculus with Varible Functors

B. Scarpellini; 142

Review: Alan Rose, A Formalisation of the $\aleph_0$-Valued Lukasiewicz Implicational Propositional Calculus with Variable Functors

B. Scarpellini; 143

Review: Andrzej Mostowski, An Example of a Non-Axiomatizability Many Valued Logic

Louise Hay; 143

Review: A. Mostowski, Axiomatizability of some many Valued Predicate Calculi

Louise Hay; 143

Review: S. Ju. Maslov, G. E. Minc, V. P. Orevkov, E. Mendelson, Unsolvability in the Constructive Predicate Calculus of Certain Classes of Formulas Containing Only Monadic Predicate Variables

Georg Kreisel; 143-144

Review: Gerhard Gentzen, M. E. Szabo, Investigations into Logical Deduction; Paul Bernays, Introduction

John Riser; 144-145

Review: Satoko Titani, An Algebraic Formulation of Cut-Elimination Theorem

Moto-o Takahashi; 145-146

Review: Yoemon Sampei, On Set Theoretical Operations

M. R. Krom; 146

Review: Yoemon Sampei, Note on the Effective Choice of a Point in the Complement of an Analytic Set

M. R. Krom; 146

Review: Yoemon Sampei, On the uniformization of a Set of Class $A_{\rho\sigma}$

M. R. Krom; 146-147

Review: Edward J. Cogan, A Formalization of the Theory of Sets from the Point of View of Combinatory Logic; Rainer Titgemeyer, Uber einen Widerspruch in Cogans Darstellung der Mengenlehre

Jonathan P. Seldin; 147

Review: Maarten Wicher Visser Bunder, Set Theory based on Combinatory Logic

Jonathan P. Seldin; 147-148

Review: Waclaw Sierpinski, L'axiome du Choix

Jean E. Rubin; 148

Review: Raphael M. Robinson, Binary Relations as Primitive Notions in Elementary Geometry

L. W. Szczerba; 148

Review: A. H. Lightstone, A. Robinson, On the Representation of Herbrand Functions in Algebraically Closed Fields

Erwin Engeler; 148-149

Review: A. Robinson, Model Theory and Non-Standard Arithmetic

William N. Reinhardt; 149

Review: H. A. Pogorzelski, Nonconcatenative Abstract Skolem Arithmetics

H. Hermes; 150

Review: M. H. Lob, Concatenation as Basis for a Complete System of Arithmetic; M. H. Lob, Formal Systems of Constructive Mathematics

Charles Parsons; 150

Review: Martin Davis, Hilary Putnam, Julia Robinson, The Decision Problem for Exponential Diophantine Equations

Hartley Rogers; 151-152

Review: Julia Robinson, The Undecidability of Exponential Diophantine Equations

Hartley Rogers; 152

Review: L. Kalmar, Uber Arithmetische Funktionen von unendlich Vielen Variablen, Welche an Jeder Stelle Bloss von Einer Endlichen Anzahl von Variabeln Abhangig sind

D. A. Clarke; 152

Review: Frederic B. Fitch, Recursive Functions in Basic Logic

R. A. DiPaola; 152-153

[Omnibus Review]

James C. Owings; 153-155

Review: Dieter Titgemeyer, Untersuchungen Uber die Struktur des Kleene-Postschen Halbverbandes der Grade der Rekursiven Unlosbarkeit

S. K. Thomason; 155-156

Review: Joseph Barback, A Note on Regressive Isols

Matthew J. Hassett; 156

Review: Joseph Barback, Double Series of Isols

Matthew J. Hassett; 156

Review: Joseph Barback, Regressive Upper Bounds

Matthew J. Hassett; 156-157

Review: Joseph Barback, An md-Class of Sets Indexed by a Regressive Function

Matthew J. Hassett; 157

Review: R. O. Gandy, John N. Crossley, Computable Functionals of Finite Type I

Richard A. Platek; 157-158

Review: R. M. Baer, Certain Directed post Systems and Automata

Calvin C. Elgot; 158-159

Review: R. Frejvald, Complexity of Recognition of Symmetry on Turing Machines with Input; A. M. Barzdin, Complexity of Recognition of Symmetry on Turing Machines

Albert A. Mullin; 159

Review: Peter B. Andrews, Resolution with Merging

David Luckham; 159-160

Review: Eric Foxley, Determination of the Set of all Four-Variable Formulae Corresponding to Universal Decision Elements using a Logical Computer

A. Rose; 160

Review: Eric Foxley, The Construction of Scale-of-two Mechanisms from Universal Decision Elements

A. Rose; 160

Review: H. H. Loomis, R. H. Wyman, On Complete Sets of Logic Primitives

H. B. Enderton; 160

[Omnibus Review]

J. Kuntzmann; 160-161

Review: G. N. Povarov, On the Group Invariance of Boolean Functions

A. Adam; 161-162

Review: U. I. Zuravlev, Set-Theoretical Methods in the Algebra of Logic

A. Adam; 162

Review: Layman E. Allen, Toward More Clarity in Business Communication by Modern Logical Methods; Layman E. Allen, Toward a Procedure for Logically Cataloguing Knowledge

Robert F. Barnes; 162-164

Review: Newton P. Stallknecht, Robert S. Brumbaugh, The Spirit of Western Philosophy. A Historical Interpretation Including Selections from the Major European Philosophers

Irving M. Copi; 164

Review: Newton P. Stallknecht, Robert S. Brumbaugh, The Compass of Philosophy. An Essay in Intellectual Orientation

Irving M. Copi; 164-165

[Omnibus Review]

William A. Wisdom; 165-166

Review: Irving M. Copi, Introduction to Logic

Alfons Borgers; 166

Review: Willard Van Orman Quine, Elementary Logic

Robert L. Stanley; 166-167

Review: Martin Davis, Lecture Notes on Mathematical Logic

A. H. Lightstone; 167

Review: Noam Chomsky, Aspects of the Theory of Syntax

Ann S. Ferebee; 167

Review: Lewis White Beck, Can Kant's Synthetic Judgements be made Analytic?

Anthony Anderson; 167-168

Further Citations

168-178

Meeting of the Association for Symbolic Logic

Jaakko Hintikka, Karel De Bouvere and Isaac Levi; 179-187

Miscellaneous back pages, J. Symbolic Logic, Volume 35, Issue 1 (1970)


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