Oskar Becker: On the Logic of Modalities

Stefania Centrone, Pierluigi Minari

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The following short essay contains a first attempt to confront with the currently emerging problem of the logic of modalities on the basis of a peculiar method. Such method is determined, on the one side, by the calculus of logic, as the now indispensable tool of formal-logical research and, on the other side, by the standpoint of phenomenology. The concurrent usage of these methods of research, which are so different as to their essence and to their methodological technique, could appear to be questionable and is, actually, not bare of difficulties. Nevertheless, this seems to be unavoidable, if one does not want to end up in two “polar” unilateralities, namely, the mathematical combination of mostly empty concept-constructs, on the one hand, and the quite “shortsighted” description of obvious, more or less arbitrarily assembled concrete cases, on the other hand, which latter has been called, jokingly, “empiricism of the apriori”.

Original languageEnglish
Title of host publicationSynthese Library
PublisherSpringer Science and Business Media B.V.
Pages55-114
Number of pages60
DOIs
StatePublished - 2022
Externally publishedYes

Publication series

NameSynthese Library
Volume444
ISSN (Print)0166-6991
ISSN (Electronic)2542-8292

Keywords

  • Formal completions of Lewis’s system
  • Historical temporality
  • M. Heidegger
  • Mathematical intuitionism and modalities
  • Modal translation of intuitionistic logic
  • Natural temporality
  • Rank order and reduction of modalities

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