any of the whole numbers (i.e. natural numbers). A number arrived at without counting whereas an ordinal number is always arrived at by counting. The concept of having cardinal numbers is the idea of having logical number sense because of the one to one correspondence which can be made between two cardinal numbers where the result of the comparison can only yield results of equal to, less than or greater than and where these continuing deduced results are logically useful in a mathematical system.
numbers denoting quantity ("one", "two", "three", ...), as opposed to ordinal number s indicating position ("first", "second", "third", ...). An equivalence class generated by the relation "same size as" obtaining when there is a one-one mapping between the elements of two sets. The smallest ordinal number of some size. see also: large cardinal