Relationships Between Sets of Things


What are the properties and relations between sets of things? Properties are one-place, monadic, or unary; relations are many-place. In other words, a property is related to a particular if it is exhibited by the same element in two or more sets of objects. The properties and relations of a relation are its adicity, reflexivity, connectedness, and symmetry. A relation is an arrangement of things that have some connection to one another, and it is unary if it has only one element.

A function is a special kind of relation. In graphing, a function is a graph where every input and output pairs have the same relationship. The graph of a function is the same as a graph of the equation y = f(x).

Fine sees this capacity as a primitive property of relations. This means that relations must account for differences between the states that they bear. For example, the two states of Anthony and Cleopatra’s love can be distinguished, and so on. For instance, the two states can be seen in a mapping diagram. This diagram is called a’mapping diagram’. It shows that the elements have two different sets of values, but share common ones.

What are the basic types of relations? Relationships between sets are made of a collection of ordered pairs, called relations. In mathematics, a relation is an ordered pair – every two-component set has a certain number of X and another set has the same number of Y. In simple terms, a relation states that each element of a set produces one or more of the other. This is the definition of a relation.