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But I am not bigoted or wrong for saying "every butterfly collector I have met so far has been a dick." Maybe it's a sign I need to get out more, but it doesn't invalidate my previous experience.
just because I want pi for my stats doesn't mean I choose numbers at random. It means I like pi!
You're right saying that "every butterfly collector I have met so far has been a dick." Is not bigoted or wrong, it can be a simple factual statement. However, if you don't intend to generalize that to "Butterfly collectors are generally dicks" the entire statement is pointless, just like saying I've never died in a car crash is a pointless statement sure it's true but the anecdotal evidence can't be used to prove the general statement that car accidents don't kill people, just like it can't be used to prove that butterfly collectors are dicks, or that optimizers are a#%~&+@s.
If you had a sufficiently large sample size you could make the statement that there appears to be a correlation between people who are butterfly collectors and those who are dicks but given that your knowledge of people who satisfy these conditions likely amounts to less than a hundred out of a population of thousands if not millions I'd say you're nowhere near having a statistically relevant sample size.
As far as wanting your stats to be pi ... sure that's not random, that's idiocy.