Re: More complex numbers than reals?

On 7/8/24 6:17 PM, Chris M. Thomasson wrote:

Are there "more" complex numbers than reals? It seems so, every real has its y, or imaginary, component set to zero. Therefore for each real there is an infinity of infinite embedding's for it wrt any real with a non-zero y axis? Fair enough, or really dumb? A little stupid? What do you think?

In comp.lang.c the answer is yes, for if we assume the standard 8 byte floating point numbers, there are approximatly 2^64 possible reals (slightly less because the encoding is not totally exhaustive) but approximately 2^128 possible complex numbers.