With reference to ‘seems’: In an earlier reply to me you referred to a ‘counter example’ posted below, which strongly suggests that you intend this to be...

In essence you are confusing two different notions - the number and the representation of the number. 0.999999... and 0.100000 are different representations of the...

But if this is meant to be a counter example then do exactly the same with .999... and you get 1, so where’s the counter example?

Hi Rick,The interesting idea behind the oval diagrams is that one can form a closure of the number system behind with successively stronger notions of closure....

You completely misunderstand the comment - it is not that 0 is a special value that needs to be excluded form your claim. Rather it is that 0 is the only value...

Your claim ‘2’ is wrong - let’s do some aritmeticx = x + y => y = 0So obviously#sy = #s + y’ where y’ is y shifted to the right#s + y’ = #s =>...

The claim “If pi contains any number (digit sequence), and hence, if I can prove that the digit sequence of pi itself is contained within pi, then I have proven...

When I replied earlier I thought I could see the ‘simple’ proof for finite sequences. I was wrong and the more I think about the proof the more I think it is...

The answer is ‘no’ if by contains a number you mean that you can find a sequence starting with the first digit of the number and continuing in the same way...

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