Yes, you do have to accept that 1-1+1-1+1-1... is =1/2 which seems a bit sketchy but there are many absurd things in math (and physics) that somehow do seem to work. In a way, of course 1+2+3+4+5.... is equal to infinity, but that doesn't mean thinking outside the box is a bad idea.
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It doesn't. But there's two parts to thinking outside the box. You have to be outside the box. And you have to be thinking.
Exactly my point