To categorize is to group things together in a way that makes them easier to understand. Categorizing can be a useful way of organizing your ideas.
The teacher tried to categorize the students by their MyersBriggs type.
The teacher tried to categorize the articles by their topic.
verb
To assign a category; to divide into classes.
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The statement was categorical.
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It's the work of a categorical mind.
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All of the above categorize the company.
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It is a categorically unwise thing to do.
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He helped categorize the articles.
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The categorical imperative is the centrepiece of the Groundwork.
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The opposite ring is then the categorical dual.
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The pushout is the categorical dual of the pullback.
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The rule there is 'categorize the article, not the topic'.
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There is a useful categorical interpretation of the map.