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
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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."
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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."
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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''."
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Genus as a noun:
A group with common attributes.
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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.
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Genus as a noun (semantics):
Within a definition, a broader category of the defined concept.