On 12/16/2013 11:44 PM, LizR wrote:
On 17 December 2013 20:34, meekerdb <meeke...@verizon.net <mailto:meeke...@verizon.net>>
On 12/16/2013 11:26 PM, LizR wrote:
On 17 December 2013 19:01, meekerdb <meeke...@verizon.net
I know. I was just taking 10^80 to mean "a very big number" which of
depends on context. I generally do applied physics and engineering and
10^80+1 = 10^80 for physical variables.
That reminds me of a joke...
...but you've probably heard it already, so I will stick to the point.
10^80 + 1 may happen to be a prime number (I leave the proof (or disproof)
Stephen Paul King as an exercise in applied mathematical reasoning) in
it is very different from 10^80 in terms of its mathematical properties,
though it is the same when used physically "for all intents and purposes" -
we already know that 10^80 is divisible by 10 (how did I work that, out
even being able to imagine 10^80 objects? It's like magic...! :)
Which is a true statement in mathematics. But suppose I said the number of
in the universe was 10^88, would you then know that the number of protons
divisible by 10?
No, because you couldn't truthfully make that statement (except by accident). You don't
know the number of protons in the universe, which is a physical fact that could only be
determined by measurement, not to mention a far greater knowledge of cosmology than we
currently possess (e.g. whether the universe is infinite). And the measurement would be
impossible, except perhaps to within an order of magnitude, for all sorts of practical
While the properties of the number 10^88 are mathematical facts, and their truth or
falsity can be determined by calculation.
Some have proposed that as the defining difference between "real" and "mathematical"; you
can know things exactly and certainly about the latter.
Notice that it's a trick question.
I'm not sure. Did I miss something?
Probably not. Just that a very big number like 10^80 is effectively divisible by any
small number, since the remainder can be neglected.
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 post to this group, send email to email@example.com.
Visit this group at http://groups.google.com/group/everything-list.
For more options, visit https://groups.google.com/groups/opt_out.