The course will explore the very concept of paradox and will treat the following paradoxes in detail
- The paradox of the heap, and the paradoxes of vagueness
- The liar paradox and paradoxes of truth
- Paradoxes of set theory
- The paradoxes that problematize the principles of intensionality
- Paradoxes related to conditionals or logical implication
- Paradoxes related to knowledge and belief
- Paradoxes of infinity (the paradoxes of Cantor, Hilbert and Skolem)
- Paradoxes in decision theory and social choice theory (the paradox of Arrow and others)
- The paradoxes of time, space and time travel
- Paradoxes related to probability
Due to the COVID-19 crisis, the information in this section is particularly likely to change.This course will be co-taught with Pilar Terrés and Pierre Saint-Germier. The teachers present the paradoxes and the students try to propose solutions. Then, the teachers develop some solutions present in the literature. Part of the sessions will be taught in English, but it will still be possible to ask questions in French and to be evaluated in French.
Due to the COVID-19 crisis, the information in this section is particularly likely to change.A written assignment on one of the course topics followed by an individual oral defence of that assignment. It is possible to do the written work in group. The oral defence will take place in the exam period.
Cook, Roy T., Paradoxes, Polity, 2013.
Delahaye, Jean-Paul, Logique, informatique et paradoxes, Belin, 1995
Delahaye, Jean-Paul, Au pays des paradoxes, Belin 2008
Quine, W.V., "Les voies du paradoxe" in Les voies du paradoxe et autres essais, Vrin, 2011.
Sainsbury, R. M., Paradoxes, Cambridge University Press, 2009.