(May 11, 2015 at 3:53 pm)Rhythm Wrote: Yeah, you should figure out a way to do that...chop chop....Chad.....and get back to me when you work out how to differentiate between potential and actual infinities.....then we can harangue somebody for having failed to do so themselves, eh?
It is an irrelevant distinction for this discussion. If an actual infinity were impossible, then there would be no potential infinities. "Potential" means
"Having or showing the capacity to develop into something in the future"
http://www.oxforddictionaries.com/defini...ctCode=all
There would be no capacity to develop into an infinity if an infinity were impossible.
Additionally, it is worth mentioning that the type of possibility under discussion is logical possibility, not some other type. For those who need this reminder, look carefully at the wording of the quoted portions of the opening post:
http://atheistforums.org/thread-33243-po...#pid939798
Also, anyone who supposes that the set of whole numbers (....,-3, -2, -1, 0, 1, 2, 3, ...) is illogical has a lot to learn about logic or numbers or both. What would be illogical would be to suppose that there must be a first whole number or a last whole number. In other words, it would be in the denial of the infinity of the set of whole numbers that would result in contradiction, not in affirming the infinity of the set of whole numbers.
"A wise man ... proportions his belief to the evidence."
— David Hume, An Enquiry Concerning Human Understanding, Section X, Part I.