An intelligent "layman" might watch that video and declare, "Math proves that 1 + 2 + 3 + 4 + … = -1/12; yet this is obviously wrong. Those mathematicians don't know what they're doing." Now, I do not know such a layman, but you must acknowledge this might happen. And this is the cost of the little lie permitted in the video you've linked.
If I wrote a "how to program" tutorial in which the code did not compile, you would likely berate my inept tutorial. Please allow mathematicians the same grace.
If I wrote a "how to program" tutorial in which the code did not compile, you would likely berate my inept tutorial. Please allow mathematicians the same grace.