The difference between Category and Genus

When used as nouns, category means a group, often named or numbered, to which items are assigned based on similarity or defined criteria, whereas genus means a rank in the classification of organisms, below family and above species.


check bellow for the other definitions of Category and Genus

  1. Category as a noun:

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

    Examples:

    "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."

  2. Category as a noun (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.

    Examples:

    "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."

  1. Genus as a noun (taxonomy):

    a rank in the classification of organisms, below family and above species; a taxon at that rank

    Examples:

    "All magnolias belong to the genus ''Magnolia''."

    "Other species of the genus ''Bos'' are often called cattle or wild cattle."

    "There are only two genera and species of seadragons''."

  2. Genus as a noun:

    A group with common attributes.

  3. Genus as a noun (topology, graph theory, algebraic geometry):

    A natural number representing any of several related measures of the complexity of a given manifold or graph.

  4. Genus as a noun (semantics):

    Within a definition, a broader category of the defined concept.