Fri Nov 12, 2010
60 Evans Hall, 4:10–6 PM
G. Aldo Antonelli (UC Davis)
The Abstraction Mystique
The logical status of abstraction principles, and especially Hume’s Principle, has been long debated, but the best currently available tool for explicating a notion’s logical character – the notion of permutation invariance introduced by Tarski in 1966 – has not received a lot of attention in this debate. This talk aims to fill this gap. After characterizing abstraction principles as particular classifiers, i.e., mappings from the subsets of a domain into that domain and exploring some of their properties, the paper introduces several distinct notions of permutation invariance for such principles, assessing the philosophical significance of each.
The biweekly LOGIC TEA will be held in the Alfred Tarski Room (727 Evans Hall) immediately following the Colloquium (with support from the Graduate Assembly).