Catagory vs. Category: What's the Difference?

Ethics is a category in philosophy.

The award ceremony had several categories for different film genres.

The store organized products by category.

Dogs and cats belong to the category of mammals.

This steep and dangerous climb belongs to the most difficult category.

I wouldn't put this book in the same category as the author's first novel.

One well-known category has sets as objects and functions as arrows.

Just as a monoid consists of an underlying set with a binary operation "on top of it" which is closed, associative and with an identity, a category consists of an underlying digraph with an arrow composition operation "on top of it" which is transitively closed, associative, and with an identity at each object. In fact, a category's composition operation, when restricted to a single one of its objects, turns that object's set of arrows (which would all be loops) into a monoid.

The categories or predicaments - the former a Greek word, the latter its literal translation in the Latin language - were intended by Aristotle and his followers as an enumeration of all things capable of being named; an enumeration by the summa genera i.e., the most extensive classes into which things could be distributed.

There is in modern literature a whole class of writers standing within the same category.

There are two classes of detergents

The hurricane was assigned to category 5.