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From the Declaration of Principles of Tau Kappa Epsilon regarding exclusivity amongst fraternities:

We maintain that exclusiveness is the direct antithesis of a true fraternity. We condemn the un-American policies of some of the leading college fraternities of the country in their attitude of contempt to all who are without the bonds of fraternities, regardless of character, ability or personal merits. Such policies we seek to avoid, as they are destructive of the very ends of true fraternity

The full text of this excellent document can be foundhere