Mathematics Homework Solutions
Problem
#146126

Cardinality of R and R^2

How can I show that the cardinality of R and R^2, R=set of Real numbers, is equal.
I think by R^2 it is meant R x R, which means an ordered pair, am I right?

Is this possible just be showing that the first element in R^2 pair can be matched to R?  But this is not necessarily a 'function' by definition, so there are infinite number of pairs with the same first element.  How can you prove this?


Solution Summary

A proof that R and R^2 have the same cardinality.

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