What is Cardinal Ordinal? 5, What is cardinal ordinal?

It belongs to the cardinal number

Ordinal numbers seem to be "number" like that

Ordinal words generally mean the first day, such as: the first day.

Cardinal words are simple numbers, such as: there book three books.

Conversion: In general, add th, if there is t, add h directly, such as eight eighth, followed by e to e plus th, such as nine ninth, followed by ve to go to ve plus ieth, such as five fifth, twelve twelfth, the end of y should be changed to ie and then add th, such as twenty twentieth, thirty thirtieth, and the first, second, The third is the most special one first, two second, three third.

There is a verbal decision: the base order, regular, and the end is added to the th (fourth, seventh).

One, two, three, special case, ending letter t, d, d (first, second, third).

Eight to t, nine to e, ve to use F (eighth, ninth, twelfth).

Ty will change Y to IE, and then add Th Don't forget (fortieth).

Each digit of the ID number represents some meaning, so it should be a cardinal word.

The cardinal number indicates how many objects there are, and is used to indicate the meaning of the number of socks. For example, there are 50 students in a class. We often refer to natural numbers.

One, two, three, four, five, and so on, these are also the bases. Whereas, ordinal numbers indicate that the object is "first" and is used to indicate the meaning of the order. For example, the third student in the third row of this class.

It can also be said that the cardinal number indicates how many are in front of the object or behind the positive fiber, which is used to indicate the total amount. Compare and talk like:

There are 7 classmates on Xiao Ming's left and 8 classmates on his right; Ordinal numbers, on the other hand, indicate the number of objects in a certain order, and are used to indicate the order. For example, the third classmate to the left of Xiao Ming is called Xiaohong.

The cardinal isSet theoryis a concept that describes the size of any collection. Two sets that can establish a one-to-one correspondence between elements are called peer-to-peer sets. For example, a set of 3 people and a set of 3 horses can establish a one-to-one correspondence, which is two equal sets.

Ordinal numbers add another layer of meaning to the cardinal numbers.

Ordinal numbers are one of the basic concepts of set theory, and they are the first in everyday use.

The first and second degrees indicate the generalization of the number of the order. The concept of ordinal numbers is based on the concept of good order set, and the good order set of friends is a special case of partial order set and full order set.

Ordinal ordinal number kindsThe first is 0; The second kind of Zheng Pi is the successor of a certain ordinal number = called a subsequent ordinal number; Other ordinal numbers belong to the third type and are called limit ordinals. For any good order set a, there must be one and only one ordinal number so that a is isomorphic to order, in which case is called the ordinal number of a, denoted by 凴 = . Any two well-ordered sets with the same ordinal number of the shouting difference must be isomorphic, so ordinal numbers are a common feature of isomorphic good-order sets, which is exactly what Cantor is.

The essence of the concept of ordinal numbers.

Natural number. There are two meanings, one is the meaning of quantity, that is, "how many objects" are counted. This usage of the natural number of quantities is called cardinality.

For example, there are 24 students doing exercises. This "24" is the base number, which indicates the number of students doing the exercises. Another meaning of natural numbers is the meaning of order, i.e., the last object to be counted is the "first" in the arrangement.

This natural number, which is used to represent the order of objects, is called ordinal number.

Cardinal and ordinal numbers are not written in the same way: cardinal numbers are 1, 2, 3, 4, ......Ordinal numbers are first, second, third, fourth, etc.

Cardinality and ordinal have different meanings: cardinality is set theory.

is a concept that describes the size of any collection. Two sets that can establish a one-to-one correspondence between elements are called peer-to-peer sets. For example, a set of 5 people and a set of 5 horses can establish a one-to-one correspondence, which is two equal sets.

Ordinal numbers add another layer of meaning to the cardinal numbers.

Cardinal and ordinal numbers are used differently: cardinal numbers can be compared in size and can be calculated.

For example: set |a|=a ，|b|= Define a+ = Another, the product of a and is defined as |axb|, a b is the Cartesian product of a and b.

Ordinal numbers, there are many ways to express ordinal numbers in Chinese. It is usually preceded by an integer, such as: first, second. There are also those that use the base alone. For example, the five elements: one is water, the second is fire, the third is wood, the fourth is gold, and the fifth is earth.

The connection between cardinal and ordinal numbers: Cardinal numbers are a special type of ordinal number. Ordinal numbers are classified according to the equipotential relation, and the smallest ordinal number in each class is the cardinality, thus becoming the potential of this type of ordinal number.