Infinity subtracted from infinity would be equivalent to zero.
How ♾️ - ♾️ differs from ♾️*0
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Feb 27, 2023
0
#4
No ♾️ - ♾️ is 0. You can't have infinity have 2 different values in one equation. And something you learn in first grade - any number times 0 is zero.
Feb 27, 2023
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#5
I really don't think I should explain why any number multiplied by 0 is 0.
Feb 27, 2023
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#6
And don't you dare say I can't use infinity as a number because that's exactly what you do all the time.
@Knight_king1014,
Infinity is a difficult concept to understand. As we all know, anything plus infinity is infinity.
3+♾️=♾️
If we rearrange this equation by subtracting three from each side, then ♾️=♾️-3
Then subtracting infinity from each side we get
♾️-♾️=3
And you can replace 3 with ANY Real Number. Let’s say any real number equals x.
x+♾️=♾️
♾️=♾️-x
♾️-♾️=-x
This is why arithmetic with infinity is quite forbidden.
Another way to think of it would be with sets.
Let [1, 2, 3, 4…] be an infinite set called A
Subtract three from it.
[ 4, 5, 6, 7…] and say it is called B
Therefore
B-A=3
Infinity is a difficult concept to understand. As we all know, anything plus infinity is infinity.
3+♾️=♾️
If we rearrange this equation by subtracting three from each side, then ♾️=♾️-3
Then subtracting infinity from each side we get
♾️-♾️=3
And you can replace 3 with ANY Real Number. Let’s say any real number equals x.
x+♾️=♾️
♾️=♾️-x
♾️-♾️=-x
This is why arithmetic with infinity is quite forbidden.
Another way to think of it would be with sets.
Let [1, 2, 3, 4…] be an infinite set called A
Subtract three from it.
[ 4, 5, 6, 7…] and say it is called B
Therefore
B-A=3
Feb 27, 2023
0
#8
I’ve always liked the example of the Infinity Hotel that has an infinite number of rooms; there’s an conference with an infinite number of guests and every room is occupied.
Q: when a new guest arrives needing accommodation, how does the Hotel fit them in?
Hilbert’s Hotel is one of the least of his achievements I promise you
Feb 27, 2023
0
#10
I've actually heard of that problem before but I don't remember the solution.
are yall math pophessors or smt
Nah just math enthusiasts
Feb 27, 2023
0
#15
David wrote:
I’ve always liked the example of the Infinity Hotel that has an infinite number of rooms; there’s an conference with an infinite number of guests and every room is occupied.
Q: when a new guest arrives needing accommodation, how does the Hotel fit them in?
You get every existing guest to move to the next room, so the guest in Room 1 moves to Room 2 while the guest in Room 2 moves to Room 3 and so on and so on. The new guest then moves into Room 1.
New Q: There's another conference, also with an infinite number of guests, that arrives needing accommodation - how does the Hotel fit them all in?
Bruh stop going on about hilberts hotel. He’s got much more interesting things. His way to get desire for number theory was the craziest way I’ve heard
But it’s just tell every guest to move to their room number multiplied by 2. 3 goes to 6, 99 goes to 198, etc…
Then all the infinite people can get the odd numbered rooms
Then all the infinite people can get the odd numbered rooms
New Q: Are there different sizes of infinity, and if so, why? I expect a lot out of you if you know this one. The typical explanation will get a lot of pushback from me.
You cannot simplify ♾️ = ♾️-X down to ♾️- ♾️ = X
Write it on paper, try it there
Write it on paper, try it there
♾️ - ♾️, is ♾️ as well as any Real.
While ♾️*0 is equal to ♾️ (1-1) but also equals ♾️ (1-1+i -i) equals ♾️ - ♾️+♾️ i- ♾️ i equals any Complex Number!