Catagory vs. Category

Catagorynoun

misspelling of category

Categorynoun

A group, often named or numbered, to which items are assigned based on similarity or defined criteria.

‘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.’;

Categorynoun

(mathematics) A collection of objects, together with a transitively closed collection of composable arrows between them, such that every object has an identity arrow, and such that arrow composition is associative.

‘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.’;

Categorynoun

One of the highest classes to which the objects of knowledge or thought can be reduced, and by which they can be arranged in a system; an ultimate or undecomposable conception; a predicament.

‘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.’;

Categorynoun

Class; also, state, condition, or predicament; as, we are both in the same category.

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

Categorynoun

a collection of things sharing a common attribute;

‘there are two classes of detergents’;

Categorynoun

a general concept that marks divisions or coordinations in a conceptual scheme

Categorynoun

a class or division of people or things regarded as having particular shared characteristics

‘the various categories of research’;

Categorynoun

each of a possibly exhaustive set of classes among which all things might be distributed.

Categorynoun

each of the a priori conceptions applied by the mind to sense impressions.