category
Part of speech: noun
Morphological type: simple
Topics: mathematics
sciences
Etymology: Etymology tree
Proto-Indo-European *ḱe?
Proto-Indo-European *ḱóm
Proto-Indo-European *ḱm̥-th₂der.?
Proto-Hellenic *kətá
Ancient Greek κᾰτᾰ́ (kătắ)
Ancient Greek κᾰτᾰ- (kătă-)
Proto-Indo-European *h₂ger-
Proto-Indo-European *h₂goréh₂
Proto-Hellenic *agorā́
Ancient Greek ἀγορᾱ́ (agorā́)
Ancient Greek -εύς (-eús)
Ancient Greek -εύω (-eúō)
Ancient Greek ἀγορεύω (agoreúō)
Ancient Greek κᾰτήγορος (kătḗgoros)
Proto-Indo-European *-eti
Proto-Indo-European *-eyéti
Proto-Indo-European *-esyéti
Proto-Indo-European *-éh₁ti
Proto-Indo-European *-yeti
Proto-Indo-European *-éh₁yeti
Proto-Indo-European *-yeti
Proto-Indo-European *-éyeti
Ancient Greek -έω (-éō)
Ancient Greek κᾰτηγορέω (kătēgoréō)
Proto-Indo-European *-h₂
Proto-Indo-European *-éh₂
Proto-Indo-European *-i-eh₂
Proto-Hellenic *-íā
Ancient Greek -ῐ́ᾱ (-ĭ́ā)
Ancient Greek κᾰτηγορῐ́ᾱ (kătēgorĭ́ā)bor.
Late Latin catēgoriader.
Middle French categorie
French catégoriebor.
Middle English
English category
Late Middle English, borrowed from French catégorie, from Middle French categorie, from Late Latin catēgoria (“class of predicables”), from Ancient Greek κατηγορία (katēgoría, “head of predicables”). Doublet of categoria.
Inflected forms:
form: categories
pos: noun
tags: plural
Senses:
gloss: A group, often named or numbered, to which items are assigned based on similarity or defined criteria.
pos: noun
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.
The traditional way of describing the similarities and differences between constituents is to say that they belong to categories of various types. Thus, words like boy, girl, man, woman, etc. are traditionally said to belong to the category of Nouns, whereas words like a, the, this, and that are traditionally said to belong to the category of Determiners.
gloss: 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.
pos: noun
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.
The use of the word ‘factor’ shows the explicit intention of categorists to work with functions in an algebraic manner: a category is an algebra of functions.
Related words: categorial
categorical
categorise
categorize
Derived words: abelian category
additive category
anticategory
balanced category
bicartesian closed category
bicategory
Cartesian closed category
categorification
categorify
categorisation
categorist
category error
category five
category fraud
category killer
categoryless
category mistake
category-mistake
category reference
category theory
child category
cocategory
comma category
coslice category
discrete category
free category
functor category
Goguen category
grammatical category
intercategory
intracategory
Kleisli category
lexical category
macrocategory
microcategory
monoidal category
multicategory
overcategory
perceptual category
preabelian category
pre-abelian category
preadditive category
pre-additive category
precategory
semicategory
slice category
small category
subcategory
supercategory
tetracategory
tricategory
Translations: