For any cardinal $\kappa$ <</SPAN>#54#>Martin's Axiom for $\kappa$ ($MA_\kappa$ states that if $P$ is a partial order satisfying ccc then given any set of $\kappa$ dense subsets of $P$ there is a directed subset intersecting each such subset. Martin's Axiom states that $MA_\kappa$ holds for every $\kappa<2^{\aleph_0}$