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 2

Publication Date: June, 1970

Miscellaneous front pages, J. Symbolic Logic, Volume 35, Issue 2 (1970)

On Initial Segments of Hyperdegrees

S. K. Thomason; 189-197

On Analytic Well-Orderings

Hisao Tanaka; 198-204

Axiomatizable Theories with Few Axiomatizable Extensions

D. A. Martin and M. B. Pour-El; 205-209

The Decision Problem for Formulas in Prenex Conjunctive Normal Form with Binary Disjunctions

M. R. Krom; 210-216

A Model Theoretic Characterization of Effective Operations

M. H. Lob; 217-222

The Meta-R.E. Sets, but Not the $\Pi^1_1$ Sets, Can Be Enumerated Without Repetition

James C. Owings; 223-229

The Craig-Lyndon Interpolation Theorem in 3-Valued Logic

R. R. Rockingham Gill; 230-238

A Note on Computable Real Fields

E. W. Madison; 239-241

Correction to a Paper on Modal Set Theory

Frederic B. Fitch; 242

Initial Segments of the Degrees of Unsolvability Part II: Minimal Degrees

C. E. M. Yates; 243-266

Nonstandard Theories of Quantification and Identity

A. Trew; 267-294

Reviews

Review: Paul Edwards, The Encyclopedia of Philosophy

William Craig and Benson Mates; 295-310

Review: John G. Kemeny, A New Approach to Semantics; Stephen Ullmann, The Principles of Semantics; Jens Erik Fenstad, Notes on Synonymy

L. Jonathan Cohen; 310-312

Review: Frank Plumpton Ramsey, The Foundations of Mathematics and Other Logical Essays

Anthony Anderson; 312

Review: A. J. Ayer, Logical Positivism

Alonzo Church; 312

Review: Paul Kurtz, American Philosophy in the Twentieth Century: A Sourcebook

Alonzo Church; 312-313

Review: G. H. von Wright, On the So-Called Practical Philosophy

Raili Kauppi; 313-314

Review: Ladislav Tondl, Sémantika otázky v problémové situaci (Semantics of the Question in the Problem-Solving Situation)

Zoltan Domotor; 314

[Omnibus Review]

Jonathan Bennett; 314-318

Review: Rolf Schock, Some Definitions of Subjunctive Implication, of Counterfactual Implication, and of Related Concepts; Rolf Schock, A Note on Subjunctive and Counterfactual Implication

Arnold Koslow; 319

Review: Rolf Schock, A Definition of Event and Some of Its Applications

Arnold Koslow; 319-320

Review: Don Davis Roberts, The Existential Graphs and Natural Deduction

J. Jay Zeman; 320-321

Review: Gerold Stahl, Ideas Generales de la Lógica Combinatoria

Luis E. Sanchis; 321

Review: R. J. Plymen, A Model of the Arithmetic of Alephs in the Equation Calculus

V. Vuckovic; 321

Review: D. Hilbert, P. Bernays, Grundlagen der Mathematik I

G. T. Kneebone; 321-323

Review: A. V. Idél'son, G. E. Minc, Matématičéskaá téoriá logičéskogo vyvoda

J. van Heijenoort; 323

Review: G. E. Minc, Priložénié. Téoréma Erbrana (Appendix. Herbrand's Theorem)

J. van Heijenoort; 323-325

Review: G. E. Minc, Téoréma Erbrana dlá isčisléniá prédikatov s ravénstvom i funkcional'nymi simvolami; G. E. Minc, Leo F. Boron, Herbrand's Theorem for the Predicate Calculus with Equality and Functional Symbols

J. van Heijenoort; 325

Review: Shoji Maehara, Cut-Elimination Theorem Concerning a Formal System for Ramified Theory of Types which Admits Quantifications on Types

Moto-o Takahashi; 325

Review: H. Hiz, Inferential Equivalence and Natural Deduction

Henry W. Johnstone; 325

Review: Masao Ohnishi, Kazuo Matsumoto, A System for Strict Implication

Ivo Thomas; 326

Review: William H. Hanson, On Some Alleged Decision Procedures for S4

A. Bayart; 326

Review: Richard L. Call, A Minimal Canonically Complete M-Valued Proper Logic for Each M

R. L. Graham; 326

Review: Vladimir Devidé, Matematička logika. Prvi dio (Klasična logika sudova). (Mathematical Logic. Part I (The Classical Logic of Propositions).)

Ivan Boh; 326-329

Review: Henri Moscovici, Dan Radu, Application de la Theorie des Categories dans la Logique Formelle

Anne Preller; 329

Review: Eugen Mihailescu, Generalization of Some Normal Forms

Kiyoshi Iseki; 329

Review: W. V. Quine, On Cores and Prime Implicants of Truth Functions

S. Rudeanu; 329-330

Review: F.I. Andon, Ob odnom podhode k minimizacii sistem buleoyh funkcij (On One Approach to the Minimization of Systems of Boolean Functions); F. I. Andon, Algoritm uproscenia d.n.f. bulevyh funckij (A Simplification Alogorithm of a Disjunctive Normal Form of the Boolean Functions)

A. Adam; 330

Review: Paul Lorenzen, Einfuhrung in die Operative Logik und Mathematik

Perry Smith; 330

Review: Saul A. Kripke, J. N. Crossley, M. A. E. Dummett, Semantical Analysis of Intuitionistic Logic I

G. Kreisel; 330-332

Review: Luitzen Egbertus Jan Brouwer, Stefan Bauer-Mangelberg, Jean van Heijenoort, On the Significance of the Principle of Excluded Middle in Mathematics, Especially in Function Theory; Luitzen Egbertus Jan Brouwer, Stefan Bauer-Mengelberg, On the Domains of Definition of Functions; Luitzen Egbertus Jan Brouwer, Stefan Bauer-Mangelberg, Intuitionistic Reflections on Formalism

Joan Rand Moschovakis; 332-333

Review: G. Kreisel, The Axiom of Choice and the Class of Hyperarithmetic Functions

Yiannis N. Moschovakis; 333-334

Review: G. Kreisel, Analysis of Cantor-Bendixson Theorem by Means of the Analytic Hierarchy

Yiannis N. Moschovakis; 334

Review: R. L. Goodstein, J. Hooley, On Recursive Transcendence

John Staples; 335

Review: M. Machover, The Theory of Transfinite Recursion

Jon Barwise; 335

Review: Paul R. Young, A Note on Pseudo-Creative Sets and Cylinders; Paul R. Young, On Semi-Cylinders, Splinters, and Bounded Truth-Table Reducibility; Paul R. Young, On Pseudo-Creative Sets, Splinters, and Bounded-Truth-Table Reducibility

Donald A. Martin; 335

Review: John N. Crossley, Kurt Schutte, Non-Uniqueness at $\omega^2$ in Kleene's O

Gustav B. Hensel; 336

Review: A.I. Mal'cev, Polno numerovannye mnozestva (Complete Enumeration of a Set); A. I. Mal'cev, K teorii vycislimyh semejstv obektov (On the Theory of Computable Families of Objects); A. I. Mal'cev, Pozitivnye i negativnye numeracii (Positive and Negative Numerations)

Elliott Mendelson; 336-337

Review: B. A. Trahtenbrot, Complexity of Algorithms and Computations (Special Course for Students of the Novosibirsk Government University)

Jiri Becvar; 337-339

[Omnibus Review]

Arto Salomaa; 339-340

Review: A. V. Gladkij, O raspoznavanii zaméščaémosti v rékursivnyh ázykah; A. V. Gladkij, M. Greendlinger, On the Recognition of Replaceability in Recursive Languages

Arto Salomaa; 340

Review: C. R. J. Clapham, An Embedding Theorem for Finitely Generated Groups

J. C. Shepherdson; 340-341

Review: Akiko Kino, On Definability of Ordinals in Logic with Infinitely Long Expressions; Akiko Kino, Correction to a Paper on Definability of Ordinals in Infinite Logic

Carol Karp; 341

Review: Kenneth Kunen, Implicit Definability and Infinitary Languages

E. G. K. Lopez-Escobar; 341-342

Review: Gebhard Furhken, J. W. Addison, Leon Henkin, Alfred Tarski, Languages with Added Quantifier There Exist at Least $\aleph_\alpha$

A. B. Slomson; 342

[Omnibus Review]

H. Jerome Keisler; 342-344

Review: R. L. Vaught, Models of Complete Theories

H. Jerome Keisler; 344

Review: Jens Erik Fenstad, A Note on Standard versus Non-Standard Topology

W. A. J. Luxemburg; 344

Review: Carol Karp, A Proof of the Relative Consistency of the Continuum Hypothesis

Leslie H. Tharp; 344-345

Review: John Myhill, Variations on a Theme of Bernays

Paul Bernays; 345-346

Review: M. J. Maczynski, Generalized free $\mathfrak{m}$-Products of $\mathfrak{m}$-Distributive Boolean Algebras with an $\mathfrak{m}$-amalgamated Subalgebra

F. M. Yaqub; 346

Review: M. J. Maczynski, T. Traczyk, The $\mathfrak{m}$-Amalgamation Property for $\mathfrak{m}$-Distributive Boolean Algebra

F. M. Yaqub; 346-347

Further Citations

347-351

Meeting of the Association for Symbolic Logic

James K. Feibleman, R. M. Smullyan and R. L. Vaught; 352-363

Notice of the 1971 International Congress for Logic, Methodology and Philosophy of Science

364

Miscellaneous back pages, J. Symbolic Logic, Volume 35, Issue 2 (1970)


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