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  1. After reading discussion on terminology – omega-category and Mike Shulman’ statement that he did not know of a mnemonic for differentiating ’strict’ and ’weak’ infinity-categories, I think one way to remember the difference would be to keep in mind that ’ω\omega’ is used in transfinite set theory to represent the ’actually’ infinite order type of the countably infinite sets and so is in some since ’strict’ (strict => actual, concrete, definite, bounded). On the other hand, ’\infinity’ is used mostly in mathematical analysis for the ’potentially’ infinite and thus is in some sense ’weak’ (weak => potential, indefinite, unbounded). I used arrows in between the analogies to avoid being evil!