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CEFISES Seminar: Francesco Genco, “The Grounds of Quantified Sentences: A Bolzanian Solution to the Paradoxes of Grounding”

2021-12-03@14:00-16:00 CET

Note the unusual location for this seminar!

Series: Explanatory Inference

Abstract: The notion of grounding is usually conceived as an objective and explanatory relation. It connects two relata if one—the ground—determines or explains the other—the consequence. In the contemporary literature on grounding, much effort has been devoted to logically characterise the formal aspects of grounding, but a major hard problem remains: defining suitable grounding principles for universal and existential formulae. Indeed, several grounding principles for quantified formulae have been proposed, but all of them are exposed to paradoxes in some very natural contexts of application. We introduce in this paper a first-order formal system that captures the notion of grounding and avoids the paradoxes in a novel and non-trivial way. The system we present formally develops Bolzano’s ideas on grounding by employing Hilbert’s ε-terms and an adapted version of Fine’s theory of arbitrary objects.

Details

Date:
2021-12-03
Time:
14:00-16:00 CET
Event Category:
Website:
https://youtu.be/WHwAFe8aRE8

Organizer

Pierre Saint-Germier
Email:
pierre.saint@uclouvain.be

Venue

Salle du Conseil PSP
Bâtiment Socrate, a.224, Place du Cardinal Mercier 14
Louvain-la-Neuve, 1348 Belgium
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