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1. • CommentRowNumber1.
   • CommentAuthorStephen Britton
   • CommentTimeJul 31st 2010
   • PermaLink
   Author: Stephen Britton
   Format: MarkdownItexAfter reading [discussion on terminology -- omega-category](http://ncatlab.org/nlab/show/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 '$\omega$' 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]]!

   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 ’$\omega$’ 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!