[FOM] Predicativism and natural numbers
lagnese at ngi.it
Tue Jan 3 13:33:41 EST 2006
Charles Parsons wrote:
> I'm not sure why you say the
> predicativist conception
> of _set_ is impredicative
I mean the definition of set as the smallest collection inductively
generated by some rules, as in Martin Loef's Intuitionistic (and
"predicative") Type Theory.
It's necessary to say "the smallest", so the concept of set is
But the point is...
If there is a philosophical reason according to which impredicative
definitions/concepts must be rejected, why predicativists can accept *some*
In the case of impredicative definitions/concepts they accept, is not valid
the same philosophical argument by which impredicative definitions/concepts
must be rejected?
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