le_coque_grande

Thanks for the great reply! 😊

Hey Jordan! I loved your book “How not to be wrong”. What I have is maybe less a question, but more a remark...I hope that’s ok. If I recall correctly, there is a point in the book where you mention that sometimes the sequence 0,1,0,1,... is considered to converge to 1/2, and I was wondering in which area of math this happens? From an analysis perspective, this sequence would be a non-converging, alternating sequence. I guess I’m asking this because there are “fake proofs” that use this convergence to prove 1+2+3...=-1/12, which is clearly not true (I think one could get the same result by taking the analytic extension of the Riemann zeta function and plug in the value for -1, but the mistake would be that the analytic extension doesn’t have “look” like the Riemann zeta function if the input isn’t great than 1).