What does it mean when a number is undefined?

Broadly speaking, undefined means there is no possible value (or there are infinite possible values), while indeterminate means there is no value given the current information.

How are defined terms related to the undefined terms?

How do defined terms and undefined terms relate to each other? Undefined terms will be used as foundational elements in defining other “defined” terms. The undefined terms include point, line, and plane. Points are named using a capital letter.

Is undefined non real?

Non-Real Numbers, Undefined Numbers, and Empty Sets. This states that a set of numbers exists theoretically, but can’t contain anything. This is for when something can not be done, like dividing by zero, because it is impossible (or very, very hard) to divide something by nothing.

What are the undefined terms defined terms postulates and theorems?

An axiomatic system consists of undefined terms, clearly stated definitions, a list of intuitive assumptions, called postulates (or properties); and theorems, or new geometric theory statements that can be validated. The axiomatic validation process for theorems is based on logical and deductive thinking methods.

Why did Euclid keep some terms as undefined?

In this chapter, you have studied the following points: 1. Though Euclid defined a point, a line, and a plane, the definitions are not accepted by mathematicians. Therefore, these terms are now taken as undefined.

Is imaginary number undefined?

The most common example of course is dividing by zero, which is supposed to be undefinable and the square root of a negative number which is imaginary. Yes, there is a difference, but it’s a bit subtle. An “undefined” value is anything that is not part of your system of computation.

Which is an example of undefined term?

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. A line is defined as something that extends infinitely in either direction but has no width and is one dimensional while a plane extends infinitely in two dimensions.

Which of the following is an example of undefined term?

These words are point, line and plane, and are referred to as the “three undefined terms of geometry”. While these words are “undefined” in the formal sense, we can still “describe” these words. The descriptions, stated below, refer to these words in relation to geometry.

What are Euclid’s definitions?

One can draw a straight line from any point to any point. The common notions are axioms such as: Things equal to the same thing are also equal to one another. We should note certain things. Euclid seems to define a point twice (definitions 1 and 3) and a line twice (definitions 2 and 4).

What is the meaning of the word undefined?

without fixed limits; indefinite in form, extent, or application: undefined authority; undefined feelings of sadness. not given meaning or significance, as by a definition; not defined or explained: an undefined term. Nearby words. Origin of undefined.

How many undefined terms are there in math?

Undefined Terms Definition. In all branches of mathematics, some fundamental pieces cannot be defined, because they are used to define other, more complex pieces. In geometry, three undefined terms are the underpinnings of Euclidean geometry: A fourth undefined term, set, is used in both geometry and set theory.

What are defined terms in geometry?

There are terms in Geometry that can’t be defined so easily. We’ll go over those later. A defined term is, simply put, a term that has some sort of definition. Unlike “the” and “am”, we can put a definition to the word “she.” “She” just is defined as a term that represents us acknowledging that someone is female.

Did the law leave the standard of consistency undefined?

— Garrett M. Graff, Wired, 17 July 2021 The law left undefined the standard of consistency imposed. — Jacob Gershman, WSJ, 1 July 2021