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That the structure V = UaVa be the universe of all sets, that the set theoretical axioms be true assertions about V or that a question like the Continuum Hypothesis be still open (since it is undecided whether it holds or fails in V) are common assertions in set theory. How one is to understand them, tough, is not an obvious matter. The aim of this book is just to interpret the façon de parler that V is the universe of all sets in a way that is faithful to what is actually done in set theory.

Produktbeschreibung
That the structure V = UaVa be the universe of all sets, that the set theoretical axioms be true assertions about V or that a question like the Continuum Hypothesis be still open (since it is undecided whether it holds or fails in V) are common assertions in set theory. How one is to understand them, tough, is not an obvious matter. The aim of this book is just to interpret the façon de parler that V is the universe of all sets in a way that is faithful to what is actually done in set theory.
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Autorenporträt
Tatiana Arigoni, born 1974 in Merate (Italy). Studied philosophy at the Catholic University of Milan and at the University of Genua and mathematics, mathematical logic and philosophy at the universities of Vienna and Berlin (TU). Ph.d. 2004 in Philosophy of Science at the University of Genua. Since September 2005 research fellow at the same university. Research areas: philosophy of mathematics, logic, and epistemology