The Journal of Symbolic Logic: Volume 2 -

Basilio Mania. L'infini mathématique et l'évolution de la logique. Actes du Congrès International de Philosophie Scientifique, VI Philosophie des mathématiques, Actualités scientifiques et industrielles 393, Hermann & Cio, Paris1936, pp. 51–57.
C. H. Langford
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12 March 2014, p. 83
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Frederic Brenton Fitch. A system of formal logic without an analogue to the Curry W operator. The journal of symbolic logic, vol. 1 (1936), pp. 92–100.
Barkley Rosser
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12 March 2014, pp. 37-38
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Wilhelm Ackerman. Die Widerspruchsfreiheit der allgemeinen Mengenlehre. Mathematische Annalen, Bd. 114 (1937), S. 305–315.
Rózsa Péter
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12 March 2014, p. 167
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Gödel Theorems for Non-Constructive Logics
Barkley Rosser
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12 March 2014, pp. 129-137
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Introduction. In setting up his definition of analyticity, Carnap uses various non-constructive rules, of which we shall be concerned with only one. This one we shall call simply “Carnap's rule.” It can be roughly stated thus: If f(0), f(1), f(2), … are all provable, then (x)f(x) shall be provable.
In this paper will be briefly considered the logics got by starting with the system of Principia plus Peano's axioms and allowing one, two, …, ω, ω+l, and so on up to, but not including ω uses of Carnap's rule (interspersed with uses of the ordinary rules), as well as the system which includes Principia and Peano's axioms and is closed under application of Carnap's rule and the ordinary rules. Under suitable assumptions as to consistency, it is shown that in each of these logics there occur undecidable propositions and that a formula which states the consistency of the logic exists in the logic but is not provable in the logic. An interesting side result is that the logic got by allowing co applications of Carnap's rule is not closed under Carnap's rule.

Alfred Tarski. Über den Begriff der logischen Folgerung. Actes du Congrès International de Philosophie Scientifique, VII Logique, Actualités scientifiques et industrielles 394, Hermann & Cie, Paris1936, pp. 1–11.
W. V. Quine
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12 March 2014, pp. 83-84
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S. C. Kleene. General recursive functions of natural numbers. Mathematische Annalen, Bd. 112 (1935–1936), S. 727–742.
Rózsa Péter
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12 March 2014, p. 38
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Uuno Saarnio. Zur heterologischen Paradoxie, Theoria, vol. 3 (1937), pp. 38–56.
W. V. Quine
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12 March 2014, p. 138
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A. Fraenkel. Ueber eine abgeschwächte Fassung des Auswahlaxioms. The journal of symbolic logic, vol. 2 (1937), pp. 1–25.
J. v. Neumann
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12 March 2014, pp. 167-168
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S. C. Kleene. λ-definability and recursiveness. Duke mathematical journal, Bd. 2 (1936), S. 340–353.
Rózsa Péter
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12 March 2014, pp. 38-39
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Jan Łukasiewicz. Bedeutung der logischen Analyse für die Erkenntnis. Actes du Huitième Congrès International de Philosophie, Orbis, Prague1936, pp. 75–84. (Sec discussions by E. Harms, S. A. Kobylecki, Bocheński, K. Dürr, and J. Łukasiewicz on pp. 117–118.)
Ernest Nagel
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12 March 2014, p. 138
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Olaf Helmer. A few remarks on the syntax of axiom-systems. Actes du Congrès International de Philosophie Scientifique, VII Logique, Actualités scientifiques et industrielles 394, Hermann & Cie, Paris1936, pp. 12–17.
C. H. Langford
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12 March 2014, p. 84
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Raphael M. Robinson. The theory of classes. A modification of von Neumann's system. The journal of symbolic logic, vol. 2 (1937), pp. 29–36.
Paul Bernays
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12 March 2014, p. 168
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Leon Chwistek. Überwindung des Begriffsrealismus. Studia philosphica, vol. 2 (offprint 1937) pp. 1–18.
Alonzo Church
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12 March 2014, pp. 168-170
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Alonzo Church. Mathematical logic. Lectures delivered at Princeton University, October 1935–January 1936. Notes by F. A. Ficken, H. G. Landau, H. Ruja, R. R. Singleton, N. E. Steenrod, J. H. Sweer, F. J. Weyl. Mimeographed. Princeton University Mathematics Department, Princeton, N. J., 1936, iii + 113 pp.
H. B. Curry
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12 March 2014, pp. 39-40
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A. Malcev. Untersuchungen aus dem Gebiete der mathematischen Logik. Matématičéskij sbornik, n.s. vol. 1 (1936), pp. 323–336.
Barkley Rosser
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12 March 2014, p. 84
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Jørgen Jøsrgensen. Die logischen Grundlagen der Wissenschaften. Actes du Huitième Congrès International de Philosophie, Orbis, Prague1936, pp. 100–116.
Ernest Nagel
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12 March 2014, p. 139
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Józef Pepis. Beiträge zur Reduktionstheorie des logischen Enischeidungsproblems. Acta lilterarum ac scientiarum Regiae Universitatis Hungaricae Francisco-Iosephinae, Sectio scientiarum mathematicarum, vol. 8 (1936–1937), pp. 7–41.
Paul Bernays
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12 March 2014, pp. 84-85
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Rudolf Carnap. Die Methode der logischen Analyse. Actes du Huitième Congrès International de Philosophie, Orbis, Prague1936, pp. 142–145. (See discussions by R. Ingarden, F. C. S. Schiller, H. Reichenbach, and R. Carnap on pp. 158–159.)
Ernest Nagel
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12 March 2014, p. 139
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C. G. Hempel. Le problème de la vérité. Theoria, vol. 3 (1937), pp. 206–246.
C. H. Langford
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12 March 2014, pp. 170-171
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Ch. Perelman. L'antinomie de M. Gödel. Académie royale de Belgique, Bulletin de la classe des sciences, 5 s. vol. 22 (1936), pp. 730–736.
S. C. Kleene
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12 March 2014, pp. 40-41
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The Journal of Symbolic Logic

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Volume 2 - March 1937

Reviews

Basilio Mania. L'infini mathématique et l'évolution de la logique. Actes du Congrès International de Philosophie Scientifique, VI Philosophie des mathématiques, Actualités scientifiques et industrielles 393, Hermann & Cio, Paris1936, pp. 51–57.

Book Review

Frederic Brenton Fitch. A system of formal logic without an analogue to the Curry W operator. The journal of symbolic logic, vol. 1 (1936), pp. 92–100.

Reviews

Wilhelm Ackerman. Die Widerspruchsfreiheit der allgemeinen Mengenlehre. Mathematische Annalen, Bd. 114 (1937), S. 305–315.

Research Article

Gödel Theorems for Non-Constructive Logics

Reviews

Alfred Tarski. Über den Begriff der logischen Folgerung. Actes du Congrès International de Philosophie Scientifique, VII Logique, Actualités scientifiques et industrielles 394, Hermann & Cie, Paris1936, pp. 1–11.

Book Review

S. C. Kleene. General recursive functions of natural numbers. Mathematische Annalen, Bd. 112 (1935–1936), S. 727–742.

Reviews

Uuno Saarnio. Zur heterologischen Paradoxie, Theoria, vol. 3 (1937), pp. 38–56.

A. Fraenkel. Ueber eine abgeschwächte Fassung des Auswahlaxioms. The journal of symbolic logic, vol. 2 (1937), pp. 1–25.

Book Review

S. C. Kleene. λ-definability and recursiveness. Duke mathematical journal, Bd. 2 (1936), S. 340–353.

Reviews

Jan Łukasiewicz. Bedeutung der logischen Analyse für die Erkenntnis. Actes du Huitième Congrès International de Philosophie, Orbis, Prague1936, pp. 75–84. (Sec discussions by E. Harms, S. A. Kobylecki, Bocheński, K. Dürr, and J. Łukasiewicz on pp. 117–118.)

Olaf Helmer. A few remarks on the syntax of axiom-systems. Actes du Congrès International de Philosophie Scientifique, VII Logique, Actualités scientifiques et industrielles 394, Hermann & Cie, Paris1936, pp. 12–17.

Raphael M. Robinson. The theory of classes. A modification of von Neumann's system. The journal of symbolic logic, vol. 2 (1937), pp. 29–36.

Leon Chwistek. Überwindung des Begriffsrealismus. Studia philosphica, vol. 2 (offprint 1937) pp. 1–18.

Book Review

Reviews

A. Malcev. Untersuchungen aus dem Gebiete der mathematischen Logik. Matématičéskij sbornik, n.s. vol. 1 (1936), pp. 323–336.

Jørgen Jøsrgensen. Die logischen Grundlagen der Wissenschaften. Actes du Huitième Congrès International de Philosophie, Orbis, Prague1936, pp. 100–116.

Józef Pepis. Beiträge zur Reduktionstheorie des logischen Enischeidungsproblems. Acta lilterarum ac scientiarum Regiae Universitatis Hungaricae Francisco-Iosephinae, Sectio scientiarum mathematicarum, vol. 8 (1936–1937), pp. 7–41.

Rudolf Carnap. Die Methode der logischen Analyse. Actes du Huitième Congrès International de Philosophie, Orbis, Prague1936, pp. 142–145. (See discussions by R. Ingarden, F. C. S. Schiller, H. Reichenbach, and R. Carnap on pp. 158–159.)

C. G. Hempel. Le problème de la vérité. Theoria, vol. 3 (1937), pp. 206–246.

Book Review

Ch. Perelman. L'antinomie de M. Gödel. Académie royale de Belgique, Bulletin de la classe des sciences, 5 s. vol. 22 (1936), pp. 730–736.

The Journal of Symbolic Logic

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Volume 2 - March 1937

Reviews

Book Review

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Research Article

Reviews

Book Review

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Book Review

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Book Review

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Book Review