On Sep 24, 2011, at 12:44 PM, meekerdb <meeke...@verizon.net> wrote:
On 9/24/2011 12:07 AM, Jason Resch wrote:
A final consideration: do you believe Pi has such a value that when
Euler's number is raised to the power of (2*Pi*i) the result is 1?
Pi has a value which no human has determined, as determinig it
requires infinite time and memory. If only those mathematical
things known to humans exist, then Pi's true value does not exist.
I think this is questionable. One can use the value of pi,
calculate with it, determine it's relation with other quantities.
We can use an approximation of it's value, or a definition of how to
derive it's value (given infinite time and memory), but we've never
known or used it's value. All of it's definitions require
infinities. If these infinities don't exist, because your philosophy
of mathematics is constructivist, then it follows that Pi does not
exist.
So you can't write it's decimal expansion, how significant is that?
Sure everything is questionable. But according to Rogers theory the
unnown digits of Pi do not exist and/or have no definite value since
no human has determined them.
What this equation and reasoning suggests is that there can be certain
values which are unknown to us. Such as the googolplexth digit of Pi.
Jason
Brent
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