Logic & Philosophy of Science Colloquium
University of California, Irvine
Reasoning about Virtual Entities"
Analytic Philosophy is replete with claims that "A's are just B's"
or that "talk about A's is just talk about B's". Such claims are
promissory notes drawn on the Bank of Logic and it would be a good
plan to have a clear conception of what they amount to should anyone
try to cash them in.
The only nontrivial claim of this flavour of whose logical
underpinnings it is possible to give a comprehensive account in under
an hour is the claim that facts about cardinal numbers are just facts
about sets. This I propose to do. A similar claim about ordinal
arithmetic can be made and a thorough analysis of the underlying logic
leads to an unravelling of the Burali-Forti paradox.
Friday, May 4, 2001
Refreshments will be served
SST 777, 3 pm