cardinality

Who acts: you, idea, many, cardinality, Two sets, empty set · What happens: say, count, tell, be, have · To what, where: last number, you, all, 4, apples, 5 · Speech: someone speaks here

«cardinality» in the school dictionary: its 2 meanings for a pupil and its 5 examples, every sentence parsed by Mova itself — its syntax tree, a dependency tree in the style of Universal Dependencies, and its pragmatics clause by clause. The word in the dictionary, with its sense in the lessons: cardinality in the school dictionary.

Meaning 1

Usage: maths — kept apart, not parsed.

The number of things in a set or group.

The words, one row each (CoNLL-U)

#	word	lemma	UPOS	features	head	relation
1	The	the	DET	Definite=Def PronType=Art	2 number	det
2	number	number	NOUN	Number=Sing	root	root
3	of	of	ADP	_	4 things	case
4	things	thing	NOUN	Number=Plur	2 number	nmod
5	in	in	ADP	_	7 set	case
6	a	a	DET	Definite=Ind PronType=Art	7 set	det
7	set	set	NOUN	Number=Sing	4 things	nmod
8	or	or	CCONJ	_	9 group	cc
9	group	group	NOUN	Number=Sing	7 set	conj
10	.	.	PUNCT	_	2 number	punct

The frames reader finds no event or fact in this sentence.

Meaning 2

Usage: maths, counting — kept apart, not parsed.

The idea that the last number you say when counting tells you how many there are in all.

The tree, 18 words

The words, one row each (CoNLL-U)

#	word	lemma	UPOS	features	head	relation
1	The	the	DET	Definite=Def PronType=Art	2 idea	det
2	idea	idea	NOUN	Number=Sing	11 tells	nsubj
3	that	that	SCONJ	_	11 tells	mark
4	the	the	DET	Definite=Def PronType=Art	6 number	det
5	last	last	ADJ	Degree=Pos	6 number	amod
6	number	number	NOUN	Number=Sing	11 tells	nsubj
7	you	you	PRON	Case=Nom Person=2 PronType=Prs	8 say	nsubj
8	say	say	VERB	Mood=Ind Number=Sing Person=2 Tense=Pres VerbForm=Fin	6 number	acl:relcl
9	when	when	ADV	PronType=Int	10 counting	advmod
10	counting	count	VERB	Tense=Pres VerbForm=Part	8 say	advcl
11	tells	tell	VERB	Mood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin	root	root
12	you	you	PRON	Case=Acc Person=2 PronType=Prs	11 tells	iobj
13	how	how	ADV	PronType=Int	14 many	advmod
14	many	many	ADJ	Degree=Pos	16 are	nsubj
15	there	there	PRON	PronType=Dem	16 are	expl
16	are	be	VERB	Mood=Ind Number=Plur Person=3 Tense=Pres VerbForm=Fin	11 tells	ccomp
17	in	in	ADP	_	18 all	case
18	all	all	DET	PronType=Tot	16 are	obl
19	.	.	PUNCT	_	11 tells	punct

#	verb	tense, mood	who	what, whom	to whom	where	roles by
1	say speech: assert	present	you	the last number not said here			vn say-37.7-1-1 «NP V NP.topic»: agent=Agent number=Topic
2	count	gerund	you not said here				vn matter-91 «NP V»: agent=Stimulus
3	tell speech: assert	present	the idea		you		vn transfer_mesg-37.1.1-1-1 «NP V NP S_INF»: agent=Agent you=Recipient clause=Topic
4	be	present	many			all; there	vn exist-47.1 «NP V PP.location»: agent=Theme in all=Location

Example 1

The cardinality of the set {2, 4, 6, 8} is 4.

The tree, 13 words

The words, one row each (CoNLL-U)

#	word	lemma	UPOS	features	head	relation
1	The	the	DET	Definite=Def PronType=Art	2 cardinality	det
2	cardinality	cardinality	NOUN	Number=Sing	16 4	nsubj
3	of	of	ADP	_	5 set	case
4	the	the	DET	Definite=Def PronType=Art	5 set	det
5	set	set	NOUN	Number=Sing	2 cardinality	nmod
6	{	{	SYM	_	7 2	case
7	2	2	NUM	NumForm=Digit NumType=Card	5 set	nmod
8	,	,	PUNCT	_	9 4	punct
9	4	4	NUM	NumForm=Digit NumType=Card	7 2	flat
10	,	,	PUNCT	_	11 6	punct
11	6	6	NUM	NumForm=Digit NumType=Card	7 2	flat
12	,	,	PUNCT	_	14 }	punct
13	8	8	NUM	NumForm=Digit NumType=Card	14 }	nummod
14	}	}	NOUN	Number=Sing	2 cardinality	conj
15	is	be	AUX	Mood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin	16 4	cop
16	4	4	NUM	NumForm=Digit NumType=Card	root	root
17	.	.	PUNCT	_	16 4	punct

#	verb	tense, mood	who	what, whom	to whom	where	when	other	roles by
1	is a	present	the cardinality of the set { 2 and 8 }	4					tree rules

Example 2

Count the apples: 1, 2, 3, 4, 5 — the cardinality is 5.

The tree, 12 words

The words, one row each (CoNLL-U)

#	word	lemma	UPOS	features	head	relation
1	Count	count	VERB	Mood=Imp VerbForm=Fin	root	root
2	the	the	DET	Definite=Def PronType=Art	3 apples	det
3	apples	apple	NOUN	Number=Plur	1 Count	obj
4	:	:	PUNCT	_	5 1	punct
5	1	1	NUM	NumForm=Digit NumType=Card	3 apples	appos
6	,	,	PUNCT	_	7 2	punct
7	2	2	NUM	NumForm=Digit NumType=Card	5 1	flat
8	,	,	PUNCT	_	9 3	punct
9	3	3	NUM	NumForm=Digit NumType=Card	5 1	conj
10	,	,	PUNCT	_	11 4	punct
11	4	4	NUM	NumForm=Digit NumType=Card	5 1	conj
12	,	,	PUNCT	_	13 5	punct
13	5	5	NUM	NumForm=Digit NumType=Card	5 1	conj
14	—	-	PUNCT	_	18 5	punct
15	the	the	DET	Definite=Def PronType=Art	16 cardinality	det
16	cardinality	cardinality	NOUN	Number=Sing	18 5	nsubj
17	is	be	AUX	Mood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin	18 5	cop
18	5	5	NUM	NumForm=Digit NumType=Card	1 Count	parataxis
19	.	.	PUNCT	_	1 Count	punct

#	verb	tense, mood	who	what, whom	to whom	where	when	other	roles by
1	count	imperative	you not said here	the apples					vn multiply-108 «NP V NP»: agent=Agent apple=Theme
2	is a	present	the cardinality	5					tree rules

Example 3

Two sets with the same cardinality have the same number of members.

The words, one row each (CoNLL-U)

#	word	lemma	UPOS	features	head	relation
1	Two	two	NUM	NumForm=Word NumType=Card	2 sets	nummod
2	sets	set	NOUN	Number=Plur	7 have	nsubj
3	with	with	ADP	_	6 cardinality	case
4	the	the	DET	Definite=Def PronType=Art	6 cardinality	det
5	same	same	ADJ	Degree=Pos	6 cardinality	amod
6	cardinality	cardinality	NOUN	Number=Sing	2 sets	nmod
7	have	have	VERB	Mood=Ind Number=Plur Person=3 Tense=Pres VerbForm=Fin	root	root
8	the	the	DET	Definite=Def PronType=Art	10 number	det
9	same	same	ADJ	Degree=Pos	10 number	amod
10	number	number	NOUN	Number=Sing	7 have	obj
11	of	of	ADP	_	12 members	case
12	members	member	NOUN	Number=Plur	10 number	nmod
13	.	.	PUNCT	_	7 have	punct

#	verb	tense, mood	who	what, whom	to whom	where	when	other	roles by
1	have	present	Two sets with the same cardinality	the same number of members					vn birth-28.2-1 «NP V NP»: agent=Agent number=Patient

Example 4

The empty set has cardinality 0.

The words, one row each (CoNLL-U)

#	word	lemma	UPOS	features	head	relation
1	The	the	DET	Definite=Def PronType=Art	3 set	det
2	empty	empty	ADJ	Degree=Pos	3 set	amod
3	set	set	NOUN	Number=Sing	4 has	nsubj
4	has	have	VERB	Mood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin	root	root
5	cardinality	cardinality	NOUN	Number=Sing	4 has	obj
6	0	0	NUM	NumForm=Digit NumType=Card	5 cardinality	flat
7	.	.	PUNCT	_	4 has	punct

#	verb	tense, mood	who	what, whom	to whom	where	when	other	roles by
1	have	present	the empty set	cardinality					vn birth-28.2-1 «NP V NP»: agent=Agent cardinality=Patient

Example 5

What is the cardinality of the set of days in a week? It is 7.

Sentence 1: What is the cardinality of the set of days in a week?

The words, one row each (CoNLL-U)

#	word	lemma	UPOS	features	head	relation
1	What	what	PRON	PronType=Int	root	root
2	is	be	AUX	Mood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin	1 What	cop
3	the	the	DET	Definite=Def PronType=Art	4 cardinality	det
4	cardinality	cardinality	NOUN	Number=Sing	1 What	nsubj
5	of	of	ADP	_	7 set	case
6	the	the	DET	Definite=Def PronType=Art	7 set	det
7	set	set	NOUN	Number=Sing	4 cardinality	nmod
8	of	of	ADP	_	9 days	case
9	days	day	NOUN	Number=Plur	7 set	nmod
10	in	in	ADP	_	12 week	case
11	a	a	DET	Definite=Ind PronType=Art	12 week	det
12	week	week	NOUN	Number=Sing	9 days	nmod
13	?	?	PUNCT	_	1 What	punct

#	verb	tense, mood	who	what, whom	to whom	where	when	other	roles by
1	is a	present	the cardinality of the set of days in a week						tree rules

Sentence 2: It is 7.

The words, one row each (CoNLL-U)

#	word	lemma	UPOS	features	head	relation
1	It	it	PRON	Case=Nom Gender=Neut Number=Sing Person=3 PronType=Prs	3 7	nsubj
2	is	be	AUX	Mood=Ind Number=Sing Person=3 Tense=Pres VerbForm=Fin	3 7	cop
3	7	7	NUM	NumForm=Digit NumType=Card	root	root
4	.	.	PUNCT	_	3 7	punct

#	verb	tense, mood	who	what, whom	to whom	where	when	other	roles by
1	is a	present	cardinality	7					tree rules

Text: the school dictionary of Mova's schools (world/data/dictionary-schools/), written for Mova. Trees: Mova's own parse — the en model on the CPU, when the site is built — not checked by a teacher; they may be wrong. Frames: Mova's frames reader (prag), each meaning and example read on its own. Elamur Cosmic License.

This page in Markdown → https://md.mova.elamur.ai/free/en/corpora/dictionaries/school/C/cardinality/