Heh mathematics is so vast I wonder how many topics will be brought up that most of the rest of us are not familiar with. For example I don't think I've ever encountered Gaussians (or if I have, then I have forgotten). Here are some things off the top of my head that I find interesting:
*Formally I believe that a set is defined to have cardinality Aleph1 if its cardinality is equivalent to the cardinality of the power set of Aleph0. I have seen it mentioned that the cardinality of the real numbers is Aleph1, but I don't think this has been proven. (Or if it has been proven I would like to know.)
*I find terms like real, irrational, and imaginary to be amusing. For example the real numbers have some features that seem unrealistic. Both the rationals and irrationals are dense within the real numbers, but the rationals have the same cardinality as the natural numbers, while the irrationals have the same cardinality as the real numbers.
*Fractals - I just think they are neat. They represent well ordered chaos to me.
*I've seen a hypercube which is an abstraction of a forth dimensional object, but I'd like to see more elaborate forth dimensional representations.
*I've found Flatlands to be an interesting book. It is a simple fictional book about how a three dimensional person would interact in a two dimensional world. It is implied that one can extrapolate how a forth dimensional object would be observed by three dimensional people.
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