If all real numbers were to be multiplied to each other, what would be the product?
(a) Undefined
(b) Imaginary Number
(c) None of these
Reals are not countable, so I have no idea how to set up the product.
But, since zero is real, doesn't that scotch the whole deal and make the answer 0? (ans. c).
I do wonder what the answer would be excluding 0. Could you pairwise multiply all R with 1/R... and get 1?? (You'd have to include "1" only once, but it would not mind.)
Edited on June 11, 2019, 5:10 pm
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