Roger,
>
> I have a question for you.
>
> Do you believe the 10^(10^(10^100))th decimal digit of Pi has a certain
> definite value, which is either 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9?
>
> If so, would you still believe this if you knew that this number is too
> difficult to ever compute by anyone in this universe?
>
> Does this not point to a discontinuity between mathematical truth and
> conceivably of that truth by us limited creatures with limited minds in a
> limited universe? Perhaps it does take faith to believe that digit takes a
> certain value between 0 and 9, but it's easier for me to accept that on
> faith than the converse (that it is not any one of those digits).
>
> Jason
>
>
Jason,
What I believe is that there is no proposition outside a mind/head that
relates a circle's circumference and its diameter to get a number called
pi. What I think does exist is:
o A circle could exist either outside the mind or inside the mind/head as
the mental construct labeled "a circle".
o It takes a mind to come up with a proposition that says that if you
divide the circumference of a circle by its diameter, you get pi, and that
the 10^(10^(10^100))th decimal point of this pi is one of the numbers from
0-9. So, this proposition and its value as true or false only exists
inside a mind/head even if it describes a circle that's outside the mind.
Roger
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