  We establish some similarities/analogies between uncountable cardinals or
powersets and the class $V$ of all sets. They concern mainly the Boolean
algebras ${\cal P}(\kappa)$, for a regular cardinal $\kappa$, and ${\cal C}(V)$
(the class of subclasses of the universe $V$), endowed with some ideals,
especially the ideal $[\kappa]^{<\kappa}$ for ${\cal P}(\kappa)$, and the ideal
of sets $V$ for ${\cal C}(V)$.
