Thursday, June 28, 2007

Memo on Zero

Mention of Relative Identity (and fractional objects) reminds me of Kessler's Millian approach to the natural numbers: basically (as far as I can recall) the number zero is thought of as a relationship between a property (e.g. being an actual aardvark) and some stuff (e.g. what's now visible). Although I'm not a Millian, that strikes me as a pretty realistic place to start from (and seems prima facie to go with that relative identity approach in logic) because something like a set-theoretical lasso has to capture stuff and turn it into units...?

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