Abstract
This chapter contains the contemporary reviews of Popper’s articles on logic by W. Ackermann, E. W. Beth, H. B. Curry, G. Hasenjaeger, J. G. Kemeny, S. C. Kleene, J. C. C. McKinsey and E. Nagel.
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Ackermann, W. (1948). Review of Functional Logic without Axioms or Primitive Rules of Inference. In: Zentralblatt fur Mathematik und ihre Grenzgebiete 29, p. 196. Reprinted as § 13.1 of this volume.
– (1949a). Review of On the Theory of Deduction, Part I. In: Zentralblatt fur Mathematik und ihre Grenzgebiete 30, p. 3. Reprinted as § 13.2 of this volume.
– (1949b). Review of On the Theory of Deduction, Part II. In: Zentralblatt fur Mathematik und ihre Grenzgebiete 30, p. 101. Reprinted as § 13.3 of this volume.
Beth, E.W. (1948). Review of New Foundations for Logic. In: Mathematical Reviews 9, p. 130. Reprinted as § 13.4 of this volume.
Curry, H. B. (1948a). Review of Functional Logic without Axioms or Primitive Rules of Inference. In: Mathematical Reviews 9, p. 321. Reprinted as § 13.5 of this volume.
– (1948b). Review of Logic without Assumptions. In: Mathematical Reviews 9, p. 486. Reprinted as § 13.6 of this volume.
– (1948c). Review of On the Theory of Deduction, Part I. In: Mathematical Reviews 9, pp. 486–487. Reprinted as § 13.7 of this volume.
– (1948d). Review of On the Theory of Deduction, Part II. In: Mathematical Reviews 9, p. 487. Reprinted as § 13.8 of this volume.
– (1949). Review of The Trivialization of Mathematical Logic. In: Mathematical Reviews 10, p. 422. Reprinted as § 13.9 of this volume.
Gentzen, G. (1935a). Untersuchungen uber das logische Schliesen, I. In: MathematischeZeitschrift 39 (1), pp. 176–210. doi: https://doi.org/10.1007/BF01201353. English translation in Gentzen (1969).
Gentzen, G. (1935b). Untersuchungen uber das logische Schliesen, II. In: MathematischeZeitschrift 39 (1), pp. 405–431. doi: https://doi.org/10.1007/BF01201363. English translation in Gentzen (1969).
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Hasenjaeger, G. (1949). Review of The Trivialization of Mathematical Logic. In: Zentralblatt fur Mathematik und ihre Grenzgebiete 31, p. 193. Reprinted as § 13.10 of this volume.
Hilbert, D. and P. Bernays (1934). Grundlagen der Mathematik. Vol. 1. Berlin: Springer.
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Johansson, I. (1937). Der Minimalkalkul, ein reduzierter intuitionistischer Formalismus. In: Compositio Mathematica 4, pp. 119–136.
Kemeny, J. G. (1957). Review of A Note on Tarski’s Definition of Truth. In: Journal of Symbolic Logic 22 (4), p. 365. url: http://www.jstor.org/stable/2963928. Reprinted as § 13.11 of this volume.
Kleene, S. C. (1948). Review of Functional Logic without Axioms or Primitive Rules of Inference. In: Journal of Symbolic Logic 13 (3), pp. 173–174. Reprinted as § 13.12 of this volume.
– (1949). Review of On the Theory of Deduction, Part I and II, and The Trivialization of Mathematical Logic. In: Journal of Symbolic Logic 14 (1), pp. 62–63. Reprinted as § 13.13 of this volume.
McKinsey, J. C. C. (1948). Review of Logic without Assumptions and New Foundations for Logic. In: Journal of Symbolic Logic 13 (2), pp. 114–115. Reprinted as § 13.14 of this volume.
Nagel, E. (1939). Review of The Nature of Mathematics. In: Journal of Symbolic Logic 4 (1), p. 29. Review of Jeffreys (1938).
– (1943). Review of Are Contradictions Embracing? In: Journal of Symbolic Logic 8 (1), pp. 48–49. Reprinted as § 13.15 of this volume.
Popper, K. R. (1940). What Is Dialectic? In: Mind 49 (196), pp. 403–426.
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– (1947d). Functional Logic without Axioms or Primitive Rules of Inference. In: Koninklijke Nederlandse Akademie vanWetenschappen, Proceedings of the Section of Sciences 50, pp. 1214–1224. Reprinted as Chapter 4 of this volume.
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– (1948a). On the Theory of Deduction, Part I. Derivation and its Generalizations. In: Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings of the Section of Sciences 51, pp. 173–183. Reprinted as Chapter 5 of this volume.
– (1948b). On the Theory of Deduction, Part I. Derivation and its Generalizations. In: Indagationes Mathematicae 10, pp. 44–54.
– (1948c). On the Theory of Deduction, Part II. The Definitions of Classical and Intuitionist Negation. In: Koninklijke Nederlandse Akademie van Wetenschappen, Proceedings of the Section of Sciences 51, pp. 322–331. Reprinted as Chapter 6 of this volume.
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– (1956). Logic, Semantics, Metamathematics: Papers from 1923 to 1938. Translated by J. H. Woodger. Oxford: Clarendon Press.
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Ackermann, W. et al. (2022). Reviews of Popper’s Articles on Logic. In: Binder, D., Piecha, T., Schroeder-Heister, P. (eds) The Logical Writings of Karl Popper. Trends in Logic, vol 58. Springer, Cham. https://doi.org/10.1007/978-3-030-94926-6_13
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