[FOM] Equivalence relation on sets of natural numbers
Stephen Yablo
stephen.yablo at gmail.com
Tue Sep 11 14:14:35 EDT 2012
George Boolos considers this kind of relation in his"Bad Company" objection
to Fregean platonism: two sets are the same "parity" if their symmetric
difference is finite and even. This forces the domain to be finite, if I
remember right, assuming that parities "exist." See his "Is Hume's
Principle Analytic?"
On Tue, Sep 11, 2012 at 10:37 AM, Timothy Y. Chow <tchow at alum.mit.edu>wrote:
> I want to declare that two sets of natural numbers are equivalent if their
> symmetric difference is finite.
>
> Is there a standard term for the resulting family of equivalence classes,
> or for the equivalence relation? I feel like I've seen this somewhere
> before but I can't recall where.
>
> Tim
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--
Steve
Linguistics and Philosophy, 32-D808
MIT, 77 Mass Ave
Cambridge , MA 02139
Things: Papers on Objects, Events, and Properties (OUP
2010)<http://www.amazon.com/Things-Papers-Objects-Properties-Philosophical/dp/0199266492/ref=sr_1_1?ie=UTF8&qid=1294333006&sr=8-1>
Thoughts: Papers on Mind, Meaning, and Modality (OUP
2009)<http://www.amazon.com/Thoughts-Papers-Meaning-Modality-Philosophical/dp/0199266476/ref=sr_1_2?ie=UTF8&qid=1294333006&sr=8-2>
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