True V or not True V, That is the Question

Gianluigi Oliveri, Gianluigi Oliveri

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Abstract

In this paper we intend to argue that: (1) the question `True V or not True V' is central to both the philosophical and mathematical investigations of the foundations of mathematics; (2) when posed within a framework in which set theory is seen as a science of objects, the question `True V or not True V' generates a dilemma each horn of which turns out to be unacceptable; (3) a plausible way out of the dilemma mentioned at (2) is provided by an approach to set theory according to which this is considered to be a science of structures.
Lingua originaleEnglish
Titolo della pubblicazione ospiteObjectivity, Realism, and Proof
Pagine143-164
Numero di pagine22
Stato di pubblicazionePublished - 2016

Serie di pubblicazioni

NomeBOSTON STUDIES IN THE PHILOSOPHY OF SCIENCE

All Science Journal Classification (ASJC) codes

  • ???subjectarea.asjc.1200.1207???
  • ???subjectarea.asjc.1200.1208???
  • ???subjectarea.asjc.3300.3314???
  • ???subjectarea.asjc.3300.3301???

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