From: Brian Holtz [brian@holtz.org] Sent: Tuesday, March 26, 2002 2:23 PM To: alt.atheism.moderated Subject: Re: finite number of sentences "Paul Holbach" wrote: > (P2) "actually infinite" is an illogical property. I do not agree with this premise -- as I've told you every other time you've restated it. > > your earlier denial that "'actually infinitely many' is > > factually meaningful" runs afoul of the principle that > > falsifiable statements are necessarily meaningful. > > [..] "This frame has the shape of a square circle." is indeed > falsifiable both logically and empirically. Good point. Any contradictory (and thus meaningless) statement about empirical matters can be decomposed into the conjunction of two synthetic statements (S) and (not S), one of which in principle must be empirically falsifiable. So it is not true that empirically falsifiable statements are necessarily meaningful. Of course, this does not at all show that "actually infinitely many" is logically contradictory (and thus meaningless). -- brian@holtz.org http://humanknowledge.net