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Iuss Philosophy Seminars - eMath Project

15 lug

15:00 PM

Scuola Universitaria Superiore IUSS Pavia
Centro di Ricerca in Neurocognizione, Epistemologia e Sintassi teorica (NEtS)

Dottorato in Neuroscienze Cognitive e Filosofia della Mente
(IUSS e Università “Vita-Salute” San Raffaele di Milano)

Iuss Philosophy Seminars
eMath Project - Epistemology of Mathematics and Logic

July 15th, 2020, 15 – 17


Lina Maria Lissia – Università degli Studi di Torino

Abstract: I argue that we should solve the Lottery Paradox by denying that rational belief is closed under classical logic. To reach this conclusion, I build on my previous result that (a slight variant of) McGee’s election scenario is a lottery scenario (see Lissia (manuscript)). Indeed, this result implies that the sensible ways to deal with McGee’s scenario are the same as the sensible ways to deal with the lottery scenario: we should either reject the Lockean Thesis or Belief Closure. After recalling my argument to this conclusion, I demonstrate that a McGee-like example (which is just, in fact, Carroll’s barbershop paradox) can be provided in which the Lockean Thesis plays no role: this proves that denying Belief Closure is the right way to deal with both McGee’s scenario and the Lottery Paradox. A straightforward consequence of my approach is that Carroll’s puzzle is solved too.

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