> > On Oct 13, 2019, at 22:54, Chris Angelico <ros...@gmail.com> wrote: > > > > Mathematically, what's the difference between '1' and '1+0j' (or > > '1+0i')? >
1 is perfectly valid natural number, rational number (equivalent to 1/1), real number (equivalent to 1.0) and complex number (equivalent to 1.0+0.0i). Everything you can do with 1 as a natural number, you can do with its equivalents in the other (super) sets. I guess (I hope) what Andrew is saying is that natural numbers are not rationals, nor are reals, etc. Which means, if "1" is a natural number, you cannot divide it (pretty much by anything except itself) to remain natural, or add 'i'. The same goes for any other numbers "superset". But I believe it was not a point. 1 can be natural, rational, real, or complex depending on the context and claiming that it is not (because we did not add the mandatory rational pair, decimal points or the imaginary part) is absurd. Richard
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