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Oskar Becker, On the Logic of Modalities (1930): Translation, Commentary and AnalysisPart II of On the Logic of Modalities

Oskar Becker, On the Logic of Modalities (1930): Translation, Commentary and Analysis: Part II of... [The ultimate goal of this part is to show that a proper understanding of the problem of modalities gives insight (i) into the conceptual presuppositions at the basis of the intuitionistic foundation of mathematics as well as (ii) into the relations between classical and intuitionistic logic. And, finally, (iii) to bring to light the relations between the alethic modalities, necessity and possibility, and the temporal modes of the present, on the one side, and on the past and the future of the other side.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Oskar Becker, On the Logic of Modalities (1930): Translation, Commentary and AnalysisPart II of On the Logic of Modalities

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Publisher
Springer International Publishing
Copyright
© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
ISBN
978-3-030-87547-3
Pages
29 –53
DOI
10.1007/978-3-030-87548-0_3
Publisher site
See Chapter on Publisher Site

Abstract

[The ultimate goal of this part is to show that a proper understanding of the problem of modalities gives insight (i) into the conceptual presuppositions at the basis of the intuitionistic foundation of mathematics as well as (ii) into the relations between classical and intuitionistic logic. And, finally, (iii) to bring to light the relations between the alethic modalities, necessity and possibility, and the temporal modes of the present, on the one side, and on the past and the future of the other side.]

Published: Sep 9, 2021

Keywords: E. Husserl; L. E. J. Brouwer; D. Hilbert; H. Weyl; E. Cassirer; Foundations of mathematics; Existence in mathematics; Ideal elements; Possible vs actual proofs; Temporal modalities

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