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cardinal

cardinal

1 8.6
A number that shows how many items are in a set
  • noun
  • /ˈkɑrdɪnəl/
  • Specialized
translation icon : número cardinal
  • When counting the number of apples in the basket, we use a cardinal to represent how many there are.

Examples

  • Semantically, they can be defined in a lot of different ways, but my favorite is from set theory, where there are fundamentally two different kinds of numbers: cardinals and ordinals.

    Blog text (9)
  • We call different things (ordinals, cardinals, complex numbers...) "number" because they have enough in common with each other that we can recognize as "numberness."

    Blog text (9)
  • If the rule fits for the cardinal, then apply it to the ordinal.

    Academic text (2002)
  • Then we'd have what is called Cardinal Utility.

  • But it all comes back to cardinals and ordinals: size and position.

    Blog text (9)
  • Ask a set theorist if measurable cardinals exist.

    Blog text (26)
  • Your fixation on the matter of adding one to infinity indicates to me that you are perhaps conflating the conception of numbers as cardinals and numbers as ordinals.

    Blog text (9)
  • In set theory, a cardinal number indicates the total amount of members in a set, regardless of their order.

  • The teacher explained that a cardinal is used to show how many students are in the class, not their ranking.

Synonyms

cardinal number
vscardinal
  • Specialized
1 2.4

A number that shows how many things there are, not their order, for example one, two, three

is the abstract mathematical quantity independent of written form
cardinal numeral
vscardinal
  • Specialized
1.6

A word or number that tells how many things there are

refers to the underlying quantity rather than its written form

Compounds

cardinal number
  • Specialized
1 2.4

A number that shows how many things there are, not their order, for example one, two, three

1 8.9

One of the four main moral qualities: careful thinking, fairness, self-control, and courage

A tall plant from eastern North America with dense spikes of blue flowers

One of the four main directions on a compass: north, east, south, or west

A tall North American plant with bright red flowers that grows in wet places

A bright red North American bird with a crest and a thick beak that eats seeds

cardinal numeral
  • Specialized
1.6

A word or number that tells how many things there are

A small bright freshwater fish with red and blue stripes

cardinal vein
  • Specialized
9.9

A large early blood vessel in animal embryos that carries blood back to the heart

One of two large veins in an embryo that return blood to the heart

9.1

A main vein in an embryo that carries blood from the head to the heart

A North American songbird with a crest and thick bill, male bright red and female brown with red highlights

9.5

A large vein in an animal embryo that carries blood from the tail and back to the heart

Surface Forms

cardinal singular
cardinals plural

Etymology

Cardinal in math comes from the same old Latin root cardo 'hinge', meaning 'main', so a mathematical cardinal is simply the number that tells 'how many' items are in a set.