infinite series

On -1/12, adding infinitely many numbers, and Phil Plait’s rash and incorrect claims 17 January 2014

This should be news to nobody, and I can’t believe I have to say it out loud, but the sum:

1+2+3+4+5+6+7+8+9+10+11+…

is not well-defined. The series diverges. It does not make sense in any mathematically rigorous way to say that it “equals” anything.
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