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Re:Learning to Love Complex Numbers by pavelrub on Tuesday May 27, 2014 @07:09AM (#7803837)
The fact remains that complex numbers are confusing to an extremely large number of people, and negative numbers and 0 aren't. This is probably because 0 can be given direct meaning in terms of everyday applications: I don't have money = I have 0 dollars. I have 0 dollars and I owe you 5 dollars = I have -5 dollars. But what is i dollars? The switch from real to complex is much more complicated than the switch from the naturals to integers or from the integers to the reals. Algebraically, it is also a completely different kind of extension.

i^2 = -1 should be hard to comprehend, and people should be suspicious when things are presented this way. If your experience with equations make it seem easy, I would argue that you don't fully comprehend the significance of such a definition (for example - lets invent a number j such that 1/j = 0. Does this also seem easy?).

Re:Learning to Love Complex Numbers by j2kun on Tuesday May 27, 2014 @09:15AM (#7804253)
I would argue that very few people understand the reals any better than they understand the complex numbers, though they think they do.
Re:Learning to Love Complex Numbers by pavelrub on Tuesday May 27, 2014 @08:12PM (#7807682)
The lack of knowledge people have regarding the reals is different in kind from the confusion surrounding complex numbers, and has nothing to do with what is being discussed.