Submitted by Resinate1 t3_zyzi9w in Showerthoughts
M8dude t1_j299cw4 wrote
Reply to comment by UnhingedCringeLord in There’s just as many numbers between 0 and 1 as there is from 0 to infinity. by Resinate1
you're not dumb, it's just counterintuitive.
any number x between 0 and infinity can be paired with a unique number 1/(1+x), which is between 0 and 1.
any number y between 0 and 1 can be paired with a unique number (1/y)-1, which is between 0 and infinity.
there are no exceptions, so none of the two sets of numbers have 'more' numbers in them.
Talking about the 'size' of these sets of numbers is a whole different story.
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