Part II of On the Logic of Modalities

Stefania Centrone, Pierluigi Minari

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

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.

Original languageEnglish
Title of host publicationSynthese Library
PublisherSpringer Science and Business Media B.V.
Pages29-53
Number of pages25
DOIs
StatePublished - 2022
Externally publishedYes

Publication series

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

Keywords

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

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