Charles, Again as someone who knows a thing or two about this particular realm...
> Math clearly states that to derive all the possible truths from a numeric > system as strong as number theory requires an infinite number of axioms. Yep. > I.e., choices. This is clearly impossible. To me this implies (but not > proves) that there are an infinite number of possible futures descending > from any precisely defined state. Not quite. An infinite number of axioms may be needed, but there is a right and wrong here! We cannot choose any axioms we like. Well, we can, but if we choose the wrong ones we will eventually derive a contradiction. When we choose the right ones, we can't know that we have... we just hold our breath and hope that no contradiction arises. :) --Abram ------------------------------------------- agi Archives: https://www.listbox.com/member/archive/303/=now RSS Feed: https://www.listbox.com/member/archive/rss/303/ Modify Your Subscription: https://www.listbox.com/member/?member_id=8660244&id_secret=114414975-3c8e69 Powered by Listbox: http://www.listbox.com
