On Sunday, January 18, 2015 at 12:27:06 AM UTC-5, Jason wrote:
>
>
>
> On Sat, Jan 17, 2015 at 11:11 PM, 'Roger' via Everything List <
> [email protected] <javascript:>> 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
>
>
Jason,
I believe the following:
o I do believe that the 10^(10^(10^100))th decimal point of pi is either
0-9.
o That 10^(10^(10^100))th decimal point of pi and its value of 0-9 exists
only in the mind of the person where the proposition defining pi exists.
o That 10^(10^(10^100))th decimal point of pi does not exist outside the
mind of the person where the proposition defining pi is.
I also believe that the above was easily deducible from my first reply
and that there's no need to be condescending (Your "Let's work by steps").
Roger
>
>
>> 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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