Determine, with justification, whether each of the following sets is finite, countably infinite, or uncountable.
a) { }
b) { }
I am lost. Not sure how to approach these problems!
Thanks.
part b) given that the possible values of m (let's call this set A) are finite in number, and likewise for the possible values of n (call this set B), can you see that your set is smaller than AxB?
what can you say about the size of AxB when A and B are finite? can you think of a way to map AxB to your set that is onto, proving that your set MUST be smaller?