[FOM] Equivalence relation on sets of natural numbers
Robert Black
mongre at gmx.de
Tue Sep 11 13:51:21 EDT 2012
I don't know about names of the relation or the equivalence classes, but
the *abstraction principle* corresponding to this equivalence relation
(on the power set of any set, not just N) gets discussed in neo-Fregean
circles, since it is satisfiable only in finite domains, whereas 'Hume's
principle' is satisfied only in infinite domains. If I remember
correctly, Crispin Wright called it the 'nuisance principle' because it
was a nuisance for neo-Fregeans.
Robert
Am 11.09.12 16:37, schrieb Timothy Y. Chow:
> 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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