Recently I've been watching various math videos and lectures on the web.
It seems as though really large numbers start having some weird and unique properties, why is that?
What makes large numbers different than small numbers?
Are there emergent properties in large numbers that could possibly explain why physics breaks down at really large scales?
Am I wrong?
>>7666843
>It seems as though really large numbers start having some weird and unique properties
care to give an example or link to the video?
>>7666843
>What makes large numbers different than small numbers?
Nothing really. Any "large number" can be expressed as a smaller number using notation.
>>7666858
Skewes number for example:
https://www.youtube.com/watch?v=Lihh_lMmcDw
Also Grahams number:
https://www.youtube.com/watch?v=HX8bihEe3nA
Monster group:
https://www.youtube.com/watch?v=xOCe5HUObD4
It's not the numbers themselves, but they seem to be solutions to problems relating to dimensionality and prime numbers. I know these are all numberphile videos. There are other sources but I can't be arsed to find more atm.
there are more large numbers than small numbers
so statistically, there is more chance of a large number being interesting
because there are more
>>7666892
>there are more large numbers than small numbers
'no'
could u provide us with mathematical prove? i dont think so
if i say that line betveen small and big number is one milion and we are counting with integers than u can find more numbers bigger than 1 milion
>>7666843
If you ask me smaller numbers are much more interesting. Especially infinitesimals. .00(...)01 is probably my favorite number right now.
>>7666887
So let me get this straight, you watched some videos about some large numbers that are involved in proofs, and then you concluded that large have weird properties compared to small numbers? Didn't it occur to you that the only reason these videos focus on those numbers is BECAUSE they are large and not because they have unique properties? Consider all the proofs that DON'T use large numbers.
The fact that all large numbers, except for primes, are constituated with small numbers, gives them new properties small numbers dont have.
>>7666892
very true
