Also - I can't get over this mindfuck, but.. There's a limit to how much a function can grow if you only have addition/multiplication/etc. and function composition in your toolbox (i.e. Peano arithmetic).
There's just a hard limit. You can define a function that will eventually dominate all the other functions that are defined by recursion.
Now, this limit is HUGE. And when I say "huge", I do actually mean it. It's so mind-numbingly huge that for all intents and purposes you can just replace it with infinity for all values greater than 1, because you won't ever be able to grasp what those values even are.
This isn't just your googolplex or some puny shit like that. It's grandiose. It has zero applications in physics due to how large these numbers are; so we just do it for fun, just to push the limits of math, because math is the only thing that can contain these numbers.
There's just a hard limit. You can define a function that will eventually dominate all the other functions that are defined by recursion.
Now, this limit is HUGE. And when I say "huge", I do actually mean it. It's so mind-numbingly huge that for all intents and purposes you can just replace it with infinity for all values greater than 1, because you won't ever be able to grasp what those values even are.
This isn't just your googolplex or some puny shit like that. It's grandiose. It has zero applications in physics due to how large these numbers are; so we just do it for fun, just to push the limits of math, because math is the only thing that can contain these numbers.
For more info, this absolutely amazing (ongoing!) series: https://www.youtube.com/watch?v=QXliQvd1vW0
This laptop changes its brightness every once in a while and it's just so fucking annoying
Forwarded from ∆Sasha's Thoughts∆
My sister got pissed at my mom for daring to get a better job
Forwarded from ∆Sasha's Thoughts∆
Everyone was proud because of how hard it is to get the job she got, but she was just really mean about it
Forwarded from Michael
iRemovedTheSpacebarFromMyKeyboardToCleanAndIt'sReallyHardToType
I think I found the correlation between the levels of stress and what happens around me, and I'm not too pleased about that
oh yeah guys I now have access to a domain that has a wonderful name of "succ.store"