Infinity to the Infinityith

Yeah. That's basically what we talked about in Calculus today haha. To make this easier, i'm going to use 'inf' to represent infinity. Let's try to explain this eh? haha

So the first thing we learned is that inf + 1= inf, because say 1+1=2, and 2 is already in inf, so saying inf+1 is not bigger than inf, it's actually the same.

The same goes for multiplication. inf x 2=inf because say 2x2=4, and 4 is already in inf also. So infx2 is not greater than inf, but the same.

Now inf^inf IS greater than inf. I can't exactly remember the math example. but he showed us a detailed drawing haha.

Alright this is going to be really hard without pictures. So, i'm going to include them.

Ok, here, we have The Infinity Hotel, which has an inf amount of rooms. Next to it is the Infinity Bus, holding an infinite amount of people. Now, each person gets their own room (symbolizing inf=inf).



In this picture, we have an odd guy coming. He asks Person 1 if he can have his room, and Person 1 agrees, and Person 1 goes to Person 2 to ask if HE can have his room, and Person 2 agrees. It goes on like this forever (symbolizes how inf+1=inf).



Now in this one, another Infinity Bus shows up. Again, each person gets their own room. No person loses their room (2inf=inf)



Now we have an infinity amount of Infinity Busses each with an infinity amount of people on each bus. If the First Person on each bus got his own room, there would be none left for the other people on the busses. Because the first person on each bus (infinity busses) would be an infinity amount of people (infinity rooms), so we say that inf^inf>inf.



So then we decided that there were a finite amount of lifeforms in the universe (there is not an infinite amount of species of things) and that the universe was infinite, since it is always expanding. So we did Finite/Infinite. And since infinite keeps going, the fraction gets closer and closer to zero. Concluding that there is no lifeforms in the universe, thus, we do not exist.

Have I blown your mind yet? My mind was blown multiple times in that 80 minute class. My gawd.



Yes, i do like my little notes in there like "Mind=BLOWN" and "I've lost my mental stability." Math class was definitely interesting today.

*EDIT* Blogspot cuts my pictures off. Just click on the picture and zoom in to see the full thing.