I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!
this post was submitted on 06 Jan 2024
289 points (86.2% liked)
memes
9647 readers
2376 users here now
Community rules
1. Be civil
No trolling, bigotry or other insulting / annoying behaviour
2. No politics
This is non-politics community. For political memes please go to [email protected]
3. No recent reposts
Check for reposts when posting a meme, you can only repost after 1 month
4. No bots
No bots without the express approval of the mods or the admins
5. No Spam/Ads
No advertisements or spam. This is an instance rule and the only way to live.
Sister communities
- [email protected] : Star Trek memes, chat and shitposts
- [email protected] : Lemmy Shitposts, anything and everything goes.
- [email protected] : Linux themed memes
- [email protected] : for those who love comic stories.
founded 1 year ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
view the rest of the comments
Neither is bigger. Even "∞ x ∞" is not bigger than "∞". Classical mathematics sort of break down in the realm of infinity.
It was probably mentioned in other comments, but some infinities are "larger" than others. But yes, the product of the two with the same cardinal number will have the same
Yes, uncountably infinite sets are larger than countably infinite sets.
But these are both a countably infinite number of bills. They're the same infinity.
I think quite some people heard of the concept of different kinds of infinity, but don't know much about how these are defined. That's why this meme should be inverted, as thinking the infinities described here are the same size is the intuitive answer when you either know nothing or quite something about the definition whereas knowing just a little bit can easily lead you to the wrong answer.
As the described in the wikipedia article in the top level comment, the thing that matters is whether you can construct a mapping (or more precisely, a bijection) from one set to the other. If so, the sets/infinities are of the same "size".
Yeah, inverting it is a good idea, truly
Yeah, we can still however analyze the statement f(x)=100x$/1x$ lim(x->inf) and clearly come to the conclusion that as the number of bills x approaches infinity will be equal to 100.
However, limes exists as a tool to avoid infinities and this exact problem when using calculus for practical applications - and as such it doesn't apply here.
What about lemons?
Mathematically speaking, they should be converted to lemonade.
Screw that! I'm the man who's gonna burn your house down! With the lemons! I'm gonna get my engineers to invent a combustible lemon that burns your house down!
Depends on if there's any lemon stealing whores around.
You're the guy in the middle by the way.
So it’s basically just a form of NaN?
It's (literally) +Inf
I didn’t know there was a special case for that. Neat.
This problem doesn't involve cardinal numbers.