Stop 
renormalizing this kind of behavior
therapist: and what do we say when we feel like this? me: formally divergent quantities can consistently be ascribed a meaningful finite value therapist: no
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i've already written many tweets about how to talk about it precisely!
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1 + 2 + 3 + ... = -1/12
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This was the topic of thousands of therapy sessions for particle physicists in the 1930s
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You don't need to worry. Why? Casimir. (Cause I'm here)
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Oh is this like that proof that the positive integers sum to -1/24? Lol
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•whistles• You need a new therapist, or the same one in a different Everettian branch...
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Apparently no wishful cancellation of infinities for this therapist.
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it is the "formally". Nobody oposses to cancel the divergent f(x+epsilon)/epsilon with an actual conterterm such as f(x)/epsilon. (Of course you can also do it formally, using Cayley trees to control the expansion)
End of conversation
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