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iceblits
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Homework Statement
Question 1:
Prove that the cardinality of R (the set of all real numbers)is the same as the cardinality of R-{0} by constructing a bijective function from R to R-{0}
Question 2: Let A be the infinite sequence of binary numbers as follows:
A={(a1,a2,a3...)|ai= 0or 1 for all i in the natural numbers}
Show that A is uncountable
Homework Equations
The Attempt at a Solution
For question 2 I think I have to use a proof similar to Cantor's diagonalization argument for proving that the set of real numbers is uncountable. I think I have to use contradiction and assume that the set is countable.