6533b82efe1ef96bd1293cde

RESEARCH PRODUCT

True V or not True V, That is the Question

Gianluigi Oliveri

subject

French hornPhilosophy05 social sciences06 humanities and the artsSettore M-FIL/02 - Logica E Filosofia Della Scienza050905 science studies0603 philosophy ethics and religionDilemma060302 philosophySet theory0509 other social sciencesMathematical economicsFoundations of mathematicsMathematical structuralism universe of sets foundations of mathematics

description

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.

yearjournalcountryeditionlanguage
2016-01-01
10.1007/978-3-319-31644-4_9http://hdl.handle.net/10447/180278