The position of the staff is to oppose the final clubs because they refuse to accept women and because of their elitism. Even if the Fly had accepted women, the staff would still be against them.
But if the staff were truly anti-sexist, it would advocate the integration of Wellesley too. And if it were truly anti-elitist, it would advocate the abolition of Harvard, or at least withdraw and transfer to some school with open admissions.
Private institutions, like Wellesley, the Fly Club and even Radcliffe, have the right to determine their own memberships. The staff has the right to criticize these institutions and elitism in general, but they really ought to be more consistent.
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The Real Reason Martin Is a Bigot