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April 11th, 2016, 08:00 AM   #21
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So what? We already know that. Both sets are indexed by the natural numbers.
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April 11th, 2016, 09:02 AM   #22
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Quote:
Originally Posted by zylo View Post
Then put every marked sequence in a list.
There's no method of putting every marked sequence in a list.

You've already stated that the set of all binary sequences is obviously uncountable. That means they can't all be listed.
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April 11th, 2016, 09:22 AM   #23
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The marked series are countable. There is a bijection between the position of the marked element and the natural numbers. Of course, not all sequences are marked.
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