this thread is an offshoot of the "god" thread...i believe georg cantor's work on set theory that led to this revelation of infinite infinities are worthy of discussion....some may think not, but i do....
dude georg cantor is the shit, and the concept of an infinity of infinities is so mind-boggling. Every time I think I comprehend it, I think a little bit more about it and it becomes even more of a mindfuck. Shit's crazy.
well said man i fell the same way...i swear whenever i think of infinite infinities (hell, just infinity alone fucks me up tbh) im blown... im gonna try to explain what cantor came up with...i hope i dont suck...gimme 5-10 minutes
A= {1,2,3,....,n,...} B= {2,4,6,....,n,...} C= {3,6,9,....,n,...} keeping in mind cantor was into set thoery (all the above are sets) here goes: set A shows all positive numbers all the way to infinity and beyond... set B shows all positive even numbers all the way to infinity and beyond... set C shows all positive divisible by three all the way to infinity and beyond... now one could argue set A will have more numbers in it because set A emcompasses numbers set B and set C does not include like 5,7, etc.... the same logic says set B has more numbers than set C... but cantor saw when you creates these sets and extend them into infinity ALL SETS HAVE THE SAME AMOUNT OF NUMBERS IN THEM BECAUSE THEY ARE INFINITE SETS....(this is where we go wtf?) your logic says "aw man thats crap, set A has more numbers in it"....and thats what cantor said....and theorizes that there are numerous infinities. NB: actuallyi the smybol for infinity, the sidewways eight comes from cantors original notation (he used the hebrew letter aleph to denote an infinite set, א , which eventually closed at the sides by handwriting and ceame the infinity sign we know today...