Re: The Difference between a Set and an Element

G. Frege schrieb:
On 17 Jan 2007 10:49:03 -0800, "Paul Holbach" <paulholbachDELETETHENAME@xxxxxxxxxx> wrote:

The concept corresponding to an infinite arbitrary set would be
infinitely disjunctive, and hence not be finitely expressible.

???

For example, the concept corresponding to the finite arbitrary
collection {1, 12, 345, 9536, 27364, 876453} is <x = 1 v x = 12 v x =
345 v x = 9536 v x = 27364 v x = 876453>.
Now just imagine an infinite arbitrary collection of natural numbers
and its corresponding concept:
<x = ... v ... v x= ... v ...>
It contains infinitely many disjuncts.

#PH

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