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What is a cardinality?

What is a cardinality? Here are some definitions.

Noun
  1. (set theory) Of a set, the number of elements it contains.
  2. (data modeling, databases) The property of a relationship between a database table and another one, specifying whether it is one-to-one, one-to-many, many-to-one, or many-to-many.
  3. (religion) The status of a cardinal
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Examples
The abstract concept of numbers consists of two major components, cardinality and ordinality.
The max cardinality of an argument pin must be the same as for the represented Attribute.
This rules take the cardinality of the association into account.
We understand that sets have a cardinality, that is, that collections have a number associated with them and it doesn't really matter what the members of that set are.
More generally, to assume that any cardinality is represented in the scale of aleph numbers is to assume in particular that any set can be well-ordered.
Taurus sun signs are symbolized by the bull and as you might imagine, are of fixed cardinality.

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