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Indefinite Extensibility and Logical Paradoxes |
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Workshop
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Time: 2 December, 2011 - 4 December, 2011 |
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Location: Parliament Hall, St Andrews |
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It has been proposed that the semantic and set-theoretic paradoxes turn on a phenomenon of indefinite extensibility, whereby certain notions cannot be associated with a definite totality since this would contradictorily allow an even larger such totality to be defined. For example, there may be no definite totality of sets, ordinal numbers, or propositions. But how is indefinite extensibility best characterized? And how does it relate to absolute generality? Does indefinite extensibility provide any reason to revise classical logic? Or does it motivate a contextualist, or dynamic logical framework? This workshop aims to bring together experts in the field to address these and other questions about indefinite extensibility and paradox. This will be a joint workshop between the Foundations of Logical Consequence project at St Andrews and the Plurals, Predicates, and Paradox project at Birkbeck College London.
Videos of some of the talks
Workshop Programme:
Friday, December 2nd
| 13.00 | Graham Priest, Indefinite Extensibility: Dialetheic Style |
| 14.30 | Coffee Break |
| 15.00 | Toby Meadows, Naive Infinitism |
| 16.30 | Coffee Break |
| 17.00 | Stewart Shapiro, Talking About Indefinitely Extensible Things |
Saturday, December 3rd
| 9.30 | Jönne Speck, On the Philosophy of Truth-Theoretic Groundedness |
| 11.00 | Coffee Break |
| 11.30 | Leon Horsten, Reflecting on the Absolutely Infinite |
| 13.00 | Lunch |
| 14.00 | Øystein Linnebo, Indefinite Extensibility and the Notion of Definiteness |
| 15.30 | Coffee Break |
| 16.00 | Agustin Rayo, Absolute Generality Reconsidered |
19.00 |
Workshop dinner at Playfair's Restaurant |
Sunday, December 4th
| 9.30 | Alan Weir, Indefinite Totalities and Naive Sets |
| 11.00 | Coffee Break |
| 11.30 | Round Table, chaired by Oystein Linnebo and Agustin Rayo |
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