On Sat, Jan 17, 2015 at 11:11 PM, 'Roger' via Everything List <
[email protected]> wrote:

>
>
> 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.
>

But that wasn't my question. Do you think that that the digit has a certain
definite value (despite not being known by any human) or perhaps any being
in this physical universe?  Let's work by steps, do you think the 10^1th
digit has a definite value? Do you think the 10^6th digit has a certain
definite value? Do you think the 10^Nth digit has a definite value (for any
given N)) ?



> 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.
>

Do you believe that *one and only one* of the following statements is true?

the 10^(10^(10^100))th decimal digit of pi is 0
the 10^(10^(10^100))th decimal digit of pi is 1
the 10^(10^(10^100))th decimal digit of pi is 2
the 10^(10^(10^100))th decimal digit of pi is 3
the 10^(10^(10^100))th decimal digit of pi is 4
the 10^(10^(10^100))th decimal digit of pi is 5
the 10^(10^(10^100))th decimal digit of pi is 6
the 10^(10^(10^100))th decimal digit of pi is 7
the 10^(10^(10^100))th decimal digit of pi is 8
the 10^(10^(10^100))th decimal digit of pi is 9

Either you answer yes, or no to that question. If you answer yes, I don't
see how you can escape mathematical realism.

Jason



>  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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