From: Brian Holtz [brian@holtz.org] Sent: Friday, April 05, 2002 12:08 PM To: alt.atheism.moderated Subject: Re: finite number of sentences "Paul Holbach" wrote: > I mean that any actual set is definite by definition, that is itīs a > completed whole. Only finite sets can be at least theoretically > completed No, infinitudes can come into existence (i.e. be completed) by a parallel process that starts from a prior infinitude. Interestingly, one might argue that an infinitude of any given cardinality must either be caused by virtue of some prior infinitude of the same cardinality, or else be uncaused -- since it seems somewhat counterintuitive that a finitude could cause an infinitude. But there is no obvious reason to think that infinitudes of any given cardinality couldn't always have existed. -- brian@holtz.org http://humanknowledge.net