Let A={0,1}. Prove that the set (cartesian product of all setsA )is numerically equivalent to R(real numbers)
Hint* Let w: product of cartesian sets A | i is an element ofZ+ -> P(Z+) "poweset of Z+" be thefunction
An element f in the product of cartesian sets A isa function f: Z+ -> {0,1}, so let w(f)= { n element of Z+ | f(n)= 0} element of P(Z+).
Prove this is a bijection