On 1/23/2015 8:16 AM, Jason Resch wrote:
On Friday, January 23, 2015, John Clark <[email protected]
<mailto:[email protected]>> wrote:
>
> On Thu, Jan 22, 2015 at 4:46 PM, Jason Resch <[email protected]
<mailto:[email protected]>> wrote
>
>>> >> Do we know that? Do we know that such a digit exists?
>>
>> > It follows from the axioms that there is a certain definite digit.
>
> They show you how to generate terms in a sequence and if you add up enough of them
you'd get the the 10^(10^(10^100))th decimal digit of pi; but it assumes that there is
no barrier that makes doing that impossible and states that assumption with 3 little
dots (...). I don't know for certain but those 3 little dots *might* be saying
something that is logical nonsense, I do know for certain that the first mathematicians
who used those 3 little dots knew nothing about quantum mechanics or the computational
limit of the universe, and that gives me pause.
>
What I explained is that if you think there is a largest number *that* is what
definitely leads to logical nonsense.
Say there is a largest number N, such that N+1 is not a bigger number, but is still N.
That means N+0 = N+1. Now subtract N from both sides.
Why should subtraction of the biggest number not obey special rules, e.g. Subtracting N
from any normal number yields -N. Subtracting N from any Big number yields zero.
Brent
--
You received this message because you are subscribed to the Google Groups
"Everything List" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/everything-list.
For more options, visit https://groups.google.com/d/optout.
