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Topic: Re: Matheology sqrt(-2): WM admits to unlistability of 0/1 sequences
Replies: 8   Last Post: Dec 22, 2013 7:56 PM

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Re: Matheology sqrt(-2): WM admits to unlistability of 0/1 sequences
Posted: Dec 20, 2013 3:38 PM
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On Friday, December 20, 2013 2:54:53 PM UTC-4, muec...@rz.fh-augsburg.de wrote:
> On Friday, 20 December 2013 18:55:58 UTC+1, wpih...@gmail.com wrote:
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> > > No. Counterexample: The potentially infinite sequence of 1's is given by many finite formulas like 1/9 or "0.111..." or "the potentially infinite sequence of 1's behind the point", which are not the sequence but determine the sequence:
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> > So what. There is nothing in the definition of the potentially infinite
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> Correct.
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> > (Note if two formula produce the same value for any n in |N
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> > they are by definition equal as potentially infinite sequences)
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> The formulas are different by their letters but identical by their result, just like a and b differ although they may stand for the same number in a = b.


So there is a list of finite formula which produce 0/1 sequences but
no list of the potentially infinite 0/1 sequences to which they correspond.

William Hughes





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