If you don’t know the (underlying) cause of an error, then you don’t know the consequences of that (underlying) error, so it’s not safe to ignore it.
Did you respond to this issue somewhere?
I think you and DD are biased against mainstream culture, and while I tend to agree with this perspective, I think my field is basically an exception to the rule.
How did you determine that I’m biased? Did you find (and say anything about?) an error? Why is this (IIRC) the first I’m hearing of it?
None at all that I can recall. I don’t think I’ve ever done a school activity like that. It seems plausible that you are better equipped than I am to evaluate such things.
Then why are you shocked that I reached a different conclusion about it than you did?
Could you see how this is a systematic weakness or bias in how schools approach and train math? They’re not even trying to address some aspects of how to think about math.
Yes. I concede that induction is more complicated and more possible to misunderstand than I was giving it credit for.
Is this another mistake that you will dismiss as not important, or do you see a major concern here? In general, I find it very hard to talk to people productively when they dismiss errors as unimportant. If a general abstract explanation (e.g. about bad philosophy causing systemic errors in a field) doesn’t work, and also particular examples don’t work, then what would work? It’s hard enough to convince someone that I’m right about any examples when there’s a large underlying disagreement / perspective difference. But even when I succeed at that, people often don’t really care.