Re: Two results of set geometry

Tony Orlow wrote:
You didn't answer the question. Given any particular rational number,
can it be distinguished from pi?


WM wrote:
If you use all ressources for representing a rational number, then you
cannot compare it to pi because pi then does not and cannot exist. At
best you can use abaout 10^100 bits to represent the first 10^100 bits
of pi and about another 10^100 bits to represent a rational number.

If I use an algorithm to compute subsequent digits of pi (and
these algorithms do, in fact, exist), why would I bother storing
all n-1 previous digits of pi while comparing it to some rational
p/q, when I need only one digit of cosmic storage to hold the
nth digit?

.

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