Chain condition for forcing ($\kappa$-cc)

A forcing order has the $\kappa$-chain condition when every antichain has cardinality below $\kappa$. It preserves cardinals and cofinalities at least $\kappa$.

A forcing order has the countable chain condition when every antichain in a forcing order is countable. Such forcing preserves cardinals and cofinalities at least ${\aleph }_1$.