berzerk@xmission.xmission.com writes:

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One last word on this. Try and represnet a continum of states by an infinite turing machene. Go ahead, I dare you. You can't.<=big period.

Could I not let each position on the tape represent a real value in [0...1]?

Nope, You'd still have only a countable number of states and the cardiality of [0..1] is not countable. I think that a simple diagonalization argument would show that one would need an uncountable number of infinite turing machines to represent a continum of states. Ward R. Evans wrevans@mitre.org voice: (703) 883-7631 fax: (703) 883-1363