  I shall argue that the commonly held V not equal L via maximize position,
which rejects the axiom of constructibility V = L on the basis that it is
restrictive, implicitly takes a stand in the pluralist debate in the philosophy
of set theory by presuming an absolute background concept of ordinal. The
argument appears to lose its force, in contrast, on an upwardly extensible
concept of set, in light of the various facts showing that models of set theory
generally have extensions to models of V = L inside larger set-theoretic
universes.
