There are different kinds of infinity
“Countably infinite” means an infinitely-large set of numbers that could be generated by infinitely following an algorithm with a finite number of steps. For example, integers/whole numbers are countably infinite because they could be generated by following this simple algorithm:
- Start with the number 1
- Add 1 to your number
- Repeat step 2
The set of real numbers, on the other hand, is uncountably infinite because you can have an infinite number of digits after the decimal place. You can’t define a finite generation algorithm like the one above simply because any precision you use wouldn’t cover the full range. In other words, if you wanted to modify the above algorithm, and chose 0.1 as your starting number, your algorithm would miss 0.01. If you chose to start at 0.01, you would miss 0.001, and so on
Ephera@lemmy.ml 6 months ago
Might be this?
en.wikipedia.org/wiki/Absolute_Infinite
Leate_Wonceslace@lemmy.dbzer0.com 6 months ago
Transfinite algebra is a widely-accepted aspect of mathematics.
Klear@sh.itjust.works 6 months ago
↑Statements dreamed up by the totally Deranged
StructuredPair@lemmy.world 6 months ago
I mean, the Casimir effect was initially derived as the result of two infinite values having a finite difference.
superfes@lemmy.world 6 months ago
Bonkers