Probably should've just asked Wolfram Alpha
this post was submitted on 15 Nov 2024
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This is very clearly an example of bad AI, but maybe it was trying (and failing) to convey this?
Basically, 1/3 + 1/9 + 1/27 + 1/81 + ... + 1/3^n = 1/2.
Probably not. But maybe.
I’m thinking it’s trying to say:
(2/6) + (1/6) = (3/6) = (4/6) - (1/6)
But either in “colloquial English for those who want to give other people aneurysms” or “colloquial English for those trying to sound smarter but aren’t”
Basically that the degree of difference between a half and a third is the same degree of difference between a half and two thirds- and that degree of difference is “one part”.
It's not trying to say either of them.
It's just guessing what word to say next, given the previous words in the context.
Definitely true, of course,
Or ⅓ + (⅓*½) = ½
1/3 is 1/2 of 2/3