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Not all infinities are equal. Did you know some infinities are bigger than others?

When you think of infinity, you most likely think about Aleph Null infinity, aka countable infinity, aka the infinity "reached" by counting 1, 2, 3, 4, etc. An even bigger infinity is the number of real numbers between zero and one. This idea is a little hard to explain without diagrams, but one can essentially take any non-terminating decimal and change just one digit to create a brand new number. Irrational numbers are very neat, really. :D
knel123
Wouldnt an infinity have infinite infinities in it?
TetrisGuy · 26-30, M
You can be even simpler by saying that you'll never ever finish saying the first digit because you'll be like... point zero zero zero zero zero zero zero... *infinite time later* zero zero zero.... one. xD

When I was six or seven and didn't really understand the concept of the bar or know of the word "infinitesimal" I always said "point zero repeating one." xD
knel123
Alright. I was going to count infinity, but this has changed my mind. So ill just say infinity equals infinity and hope thats mathematical.
TetrisGuy · 26-30, M
Just take a Mobius Band, and write "1+1+1+1+1+1+" all around it to philosophically and somewhat mathematically capture the beauty of infinity.
Tsunami3
Does this mean the infinity is "larger" or that it's just easier for us to grasp?
TetrisGuy · 26-30, M
It's not an illusion. It's been mathematically proven. That's the beauty of math.
Tsunami3
Has it? http://en.wikipedia.org/wiki/Controversy_over_Cantor's_theory
TetrisGuy · 26-30, M
That's not about the idea of infinity itself. That's the idea of the various types of infinity I describe here.
Ryu15987
i knew that. guys I KNOW SOMETHING SHE KNOWS WOOOOOOOOOOOOOOOOOOOOOO
TetrisGuy · 26-30, M
xDDD You also know English, so there's another thing. xD
saxappeal
😕 too much info this early ... But thank you
TetrisGuy · 26-30, M
Aw come on, I tried putting it in layman's terms xD it's not that bad!
:P
5thApprentice
I did not know that. lol.
TetrisGuy · 26-30, M
Look up the infinite hotel guests situation to get a better idea of this.
eekshachad
TetrisGuy · 26-30, M
I had to UD that. Every result says The Fault In Our Stars. Now I know John Green also does a lot of science/math things, but what does this have to do with infinite infinities and infinitely greater than infinite infinities?

 
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