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I am writing an essay and I wanted to say that the things I like about a large university and the things I like about a small university can't exist together. For example the small supportive community comes at the expense of meeting new people every day, etc. a word like irreconcilable maybe ? The sentence says "... the best features of each university seemed ............. (can't coexist together)"

Thank you!

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    They are mutually exclusive. – deadrat Dec 2 '15 at 22:22
  • You're a genius. – Curiousstudent Dec 2 '15 at 22:25
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Consider incompatible

(Of two things) so opposed in character as to be incapable of existing together: cleverness and femininity were seen as incompatible

Oxford Dictionaries Online

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Consider antinomic.

Definition: contradiction or opposition between one statement, principle, rule, etc., and another;

Example: The choice of that solution was driven by the concern to reach a compromise between requirements that sometimes were antinomic.

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