Re: HERC 97 SCI.MATH 0

From: The Ghost In The Machine (ewill_at_sirius.athghost7038suus.net)
Date: 01/20/05 

Date: Thu, 20 Jan 2005 15:00:20 GMT

In sci.logic, |-|erc
<h@r.c>
 wrote
on Thu, 20 Jan 2005 17:19:22 +1000
<3594arF4hqdmkU1@individual.net>:
> 3 more propositions, see if you can work out the truth value.
>
> THE PROBLEM
> (countable) infinite people each flip coins (countable) infinite
> times each. Can you always come up with a new coin sequence?
>
> SCI.MATH SOLUTION
> Take the inverted diagonal of the flippers. Call this diagonal.
>
>
> PROPOSITION 1
> "Regarding the infinite set of people flipping coins,
> the diagonal coin sequence has been flipped only to some finite
> amount of flips of the diagonal"
>
> PROPOSITION 2
> "Regarding the infinite set of people flipping coins,
> the diagonal coin sequence has been flipped to an infinite amount
> of flips of the diagonal"
>
> PROPOSITION 3
> "Regarding the infinite set of people flipping coins,
> the diagonal coin sequence has been flipped some finite amount
> (or 0) of flips per person"

None of these make sense as written. Did you mean something
along the lines of:

"Given the diagonal flip sequence, indicate the following:

[1] The diagonal flip sequence is somewhere on the list of
    infinite sequences.
[2] All prefixes of the diagonal flip sequence are embedded somewhere
    on the prefixes of the list of infinite sequences.
[3] Up to a count N, all prefixes of length at most N are embedded
    somewhere on the prefixes of the list of infinite sequences."

?

Also, we'll need more data on the people's flips. For all I know
every one of them is given a coin that does nothing but tails. :-)

[.sigsnip] 

-- 
#191, ewill3@earthlink.net
It's still legal to go .sigless.

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