On 15 Jun., 06:13, "|-|ercules" <radgray...@yahoo.com> wrote: > Consider the list of increasing lengths of finite prefixes of pi > > 3 > 31 > 314 > 3141 > .... > > Everyone agrees that: > this list contains every digit of pi (1)
There is no "every digit of pri". If it were, this must be proved by showing the last digit. > > as pi is an infinite digit sequence, this means > > this list contains every digit of an infinite digit sequence (2)
If you write every digit in the same line, no set theorist will disagree. If you write the next digit always in the next line, they will diagree. You can see that they have restricted capabilities of thinking. > > similarly, as computable digit sequences contain increasing lengths of ALL possible finite prefixes > > the list of computable reals contain every digit of ALL possible infinite sequences (3) > > OK does everyone get (1) (2) and (3). > > There's no need for bullying (George),
He has reasons enough. He does not even know that countable sets, according to Fraenkel, Cantor and others, can be constructed. And he his incompetent to know what it means "to construct" without receiving a definition that says exactly as much as the word "to construct".
