Mind-Chew: Infinity.
Is there anything bigger than infinity?
Chew on this:
Take a set of integers (counting numbers that increment by 1):
Group 1: {1, 2, 3, 4 ,….. ,to infinity}
This set contains an infinite amount of numbers, right?
Next: Take a set of real numbers that starting from 1 that increase by .5:
Group 2: {1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5,……to infinity}
This set also goes to the same place [infinity] and contains an infinite amount of numbers.
HOWEVER! Even though amount of numbers in Group 1 is infinite, and the amount of numbers in the Group 2 is infinite…
GROUP 2 has TWICE as many numbers in the set leading up to infinity.
Therefore… The infinite amount of numbers in Group 2 is TWICE the amount of infinite numbers in Group 1.
G1 Infinity = 2 x G2 Infinity… WHat???
How can that be, when infinity means… well, infinity?
The answer that many math gurus claim is that there are actually an infinite amount of different infinities and that just because it’s infinite doesn’t mean that it is the infinity of the greatest significance.
So next time, someone says to you something like “I am better than you X infinity”, you can honestly reply “I am better than you X (2 x Infinity)”
…And they can’t say it’s wrong, because it does actually exist.
Question of the day:
What kinds of things do you like to twist your mind around?
I like to think about shit like this, do puzzles [SUDOKU!] and take IQ tests.
This stuff was floating through my head ALL DAY.