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 4

Publication Date: December, 1970

Volume Information

Miscellaneous front pages, J. Symbolic Logic, Volume 35, Issue 4 (1970)

Many-Valued Logics of Extended Gentzen Style II

Moto-O Takahashi; 493-528

An Embedding of Classical Logic in S4

Melvin Fitting; 529-534

Finite Partially-Ordered Quantification

Wilbur John Walkoe; 535-555

Recursion Theory and Formal Deducibility

E. M. Kleinberg; 556-558

Partial Recursive Functions and $\omega$-Functions

C. H. Applebaum and J. C. E. Dekker; 559-568

Reviews

Review: J.L. Austin, The Meaning of a Word; J. L. Austin, J. O. Urmson, G. J. Warnock, Truth; J. L. Austin, Unfair to Facts

James Cargile; 569-571

Review: B. V. Birukov, The Downfall of the Metaphysical Conception of the Universality of Object Domains in Logic

Ignacio Angelelli; 571-572

Review: J. F. Staal, Means of Formalisation in Indian and Western Logic; J. F. Staal, Correlations Between Language and Logic in Indian Thought; J. F. Staal, Formal Structures in Indian Logic

Jan Berg; 572-573

Review: J. F. Staal, The Theory of Definition in Indian Logic

Jan Berg; 573-574

Review: J. F. Staal, Contraposition in Indian Logic

Jan Berg; 574-575

Review: J. F. Staal, Negation and the Law of Contradiction in Indian Thought: A Comparative Study

Jan Berg; 575

Review: Andrzej Mostowski, On Various Degrees of Constructivism

George S. Boolos; 575-576

Review: John L. Pollock, Mathematical Proof

Richard E. Grandy; 576

Review: Richard Schlegel, Completeness in Science

Robert L. Causey; 576-577

Review: Rolf Schock, On Determinism, the Universe, and Related Concepts

Arnold Koslow; 577-578

Review: James Willard Oliver, Some Misconceptions of Modern Logic

Gerald Standley; 578

Review: Julius Stone, Legal System and Lawyers' Reasonings

Krister Segerberg; 578-579

Review: Nicholas Rescher, Introduction to Logic

William E. Gould; 579

Review: Daniel Ponasse, Logique Mathematique. Elements de Base: Calcul Propositionnel, Calcul des Predicats

Alfons Borgers; 579-580

Review: Roland Fraisse, Cours de Logique Mathematique. Tome I. Relation, Formule Logique, Compacite, Completude

D. Ponasse; 580

Review: Kiyoshi Iseki, Symbolic Logic (Propositional Logic)

A. Nakamura; 580-581

Review: M. J. Cresswell, Another Basis for S4

Donald Paul Snyder; 581

Review: M. J. Cresswell, A Henkin Completeness Theorem for T; M. J. Cresswell, Alternative Completeness Theorems for Modal Systems; M. J. Cresswell, Some Proofs of Relative Completeness in Modal Logic

David Makinson; 581-582

Review: Akira Nakamura, (Yoso ronri to tati ronri no kankei ni tuite): On the Relation between Modal Logic and Many-Valued Logic

Takeo Sugihara; 582

Review: C. L. Hamblin, The Modal "Probably."

John P. Burgess; 582-583

Review: Nicholas Rescher, A Probabilistic Approach to Modal Logic

John P. Burgess; 583

Review: Karl Schroter, Uber den Zusammenhang der Implikationsaxiomen Vollstandiger Axiomensysteme des Zweiwertigen mit denen des Intuitionistischen Aussagenkalkuls; Karl Schroter, Eine Umformung des Heytingschen Axiomensystems fur den Intuitionistischen Aussagenkalkul

Gene F. Rose; 583

Review: Henry W. Johnstone, Robert Price, Axioms for the Implicational Calculus with One Variable

M. D. Gladstone; 584

Review: Henry W. Johnstone, A Definition of Conjunction in the Pure Implicational Calculus with One Variable

M. D. Gladstone; 584

Review: Eugen Mihailescu, Sur les Proprietes de l'Implication par Rapport a l'Equivalence et la Disjonction

Ronald Harrop; 584

Review: Stefan N. Berti, Aplicatii ale Teoriei Relatiilor in Logica Matematica (Applications de la Theorie des Relations dans la Logique Mathematique

Perry Smith; 584

Review: H. Jerome Keisler, Ultraproducts and Saturated Models

James R. Geiser; 584-585

Review: H. Jerome Keisler, A Survey of Ultraproducts

James R. Geiser; 585

Review: H. Jerome Keisler, Ultraproducts Which are Not Saturated

James R. Geiser; 585

Review: H. Jerome Keisler, Ultraproducts of Finite Sets

James R. Geiser; 586

Review: E. G. K. Lopez-Escobar, On a Theorem of J. I. Malitz

Martin Helling; 586

Review: A. Ehrenfeucht, A. Mostowski, A Compact Space of Models of First Order Theories

G. Fuhrken; 586-587

Review: Per Lindstrom, On Model-Completeness

J. Malitz; 587

Review: Per Lindstrom, On Characterizability in $L_{\omega_{1}\omega_{0}}$

J. Malitz; 587

Review: R. Sikorski, On Herbrand's Theorem

Donald Monk; 587

Review: M. I. Kargapolov, U. I. Merzlakov, V. N. Remeslennikov, (Kourovskad tetrad'neresennye zadaci teorii grupp): Kourovsk Exercise Book

Ann S. Ferebee; 587

Review: J. R. Moschovakis, Disjunction and Existence in Formalized Intuitionistic Analysis

W. A. Howard; 587-588

Review: S. C. Kleene, Ernest Nagel, Patrick Suppes, Alfred Tarski, Turing-Machine Computable Functionals of Finite Types I; S. C. Kleene, Turing-Machine Computable Functionals of Finite Types II

D. A. Clarke; 588-589

Review: C. E. M. Yates, John N. Crossley, Recursively Enumerable Degrees and the Degrees Less Than $0^{(1)}$

S. K. Thomason; 589

Review: A. Nerode, Additive Relations Among Recursive Equivalence Types

Matthew J. Hassett; 589-590

Review: Don C. Ferguson, Infinite Products of Recursive Equivalence Types

Alfred B. Manaster; 590

Review: M. Adrian Carpentier, Creative Sequences and Double Sequences

J. P. Cleave; 590

Review: M. D. Davis, A Note on Universal Turing Machines; Martin Davis, The Definition of Universal Turing Machine

R. J. Nelson; 590

Review: M. D. Gladstone, A Reduction of the Recursion Scheme

Rozsa Peter; 591

Review: Paul J. Cohen, Set Theory and the Continuum Hypothesis

Kenneth Kunen; 591-592

Review: Rolf Schock, A Simple Version of the Generalized Continuum Hypothesis

J. R. Shoenfield; 592

Review: George F. Simmons, Introduction to Topology and Modern Analysis

Perry Smith; 592

Review: Giulio Andreoli, Funzioni Simmetriche, Involuzioni ed n-adi in un'Algebra di Boole

Ruggero Ferro; 592

Review: R. V. Frejvald, Funkcional'naá polnota dlá né vsúdu oprédélénnyh funkcij algébry logiki (Functional Completeness for Incompletely Specified Logic Functions)

Ivo Rosenberg and A. Adam; 592-593

Review: V. V. Vojtišék, Ob odnom podhode k klassifikacii bulevyh funkcij (On an Approach to the Classification of Boolean Functions)

A. Ádám; 593

Review: O. B. Lupanov, On a Method of Circuit Synthesis

Albert A. Mullin; 593-594

Review: Erwin Engeler, Formal Languages: Automata and Structures

Andrzej Blikle; 594-595

Review: James R. Slagle, Automatic Theorem Proving with Renamable and Semantic Resolution

Lawrence T. Wos; 595-596

Review: James R. Slagle, Experiments with a Deductive Question-Answering Program

David C. Cooper; 596

Review: James R. Slagle, Philip Bursky, Experiments with a Multipurpose, Theorem-Proving Heuristic Program

David C. Cooper; 596

Review: S. Summersbee, A. Walters, Programming the Functions of Formal Logic, II

Alan Rose; 596-597

Review: A. Porter, P. K. T. Vaswani, The Optimization of Logical Goal-Seeking Procedures

Alan Rose; 597

Review: Sampo Salovaara, On Set Theoretical Foundations of System Theory. Concept

L. A. Zadeh; 597

Review: Chen Chuan Chong, An Application of Electric Circuits in Mathematical Logic

H. Enderton; 597

Meeting of the Association for Symbolic Logic Manchester 1969

R. O. Gandy and C. E. M. Yates; 598-613

Association for Symbolic Logic

614-653

Index of Reviews by Subjects

654-708

Errata

Miscellaneous back pages, J. Symbolic Logic, Volume 35, Issue 4 (1970)


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