64.9k views
5 votes
How do defined terms and undefined terms relate to each other? Provide an example of each and the definition and why it is defined or undefined.

1 Answer

1 vote

Final answer:

Defined terms and undefined terms in mathematics are related in that defined terms are based on the understanding of undefined terms. Undefined terms are basic concepts that are not formally defined but are understood through intuitive descriptions.

Step-by-step explanation:

In mathematics, defined terms and undefined terms relate to each other in the sense that defined terms are based on the understanding of undefined terms. Undefined terms are basic concepts that are not formally defined but are understood through intuitive descriptions. Defined terms are then created by using these undefined terms and providing precise definitions.

For example, in geometry, a point is an undefined term. It is a basic concept that cannot be defined but is understood as a location with no size or dimensions. Using this understanding, a line can be defined as a straight path that extends infinitely in both directions.

On the other hand, a circle is a defined term in geometry. It is defined as a set of points that are equidistant from a fixed point called the center. The definition of a circle is based on the understanding of the undefined term, point.

User Zaboj Campula
by
8.1k points