What are the basic elements of reasoning, Mathematics

What are the Basic Elements of Reasoning ?

There are four basic elements used in geometry. If we say studying geometry is like building a house, then these elements are like different types of materials. Logical methods of reasoning can bind these elements together and allow us to build on our foundation to create a wide range of structures. The four basic elements are the following:

1. Undefined Term :  A word is so fundamental that it cannot be satisfactorily be defined. However, undefined terms can be described. Example: point, line, and plane.

2. Definition :  A definition clearly states the meaning of a term or an idea. The reverse of a definition must be also true. Definitions begin by identifying the term to be defined. We state the characteristics of the term which have been previously defined or are commonly understood. Defined terms are words or symbols people use which refer to geometric figures and relationships. Example: segment, ray and angle.

3. Postulate (sometimes referred to as an "axiom") :  A postulate is a statement that is based on experience and people take for granted.

4. Theorem :  A theorem is a generalization which can be proven true by means of other true statements.


Posted Date: 5/3/2013 3:56:50 AM | Location : United States

Related Discussions:- What are the basic elements of reasoning, Assignment Help, Ask Question on What are the basic elements of reasoning, Get Answer, Expert's Help, What are the basic elements of reasoning Discussions

Write discussion on What are the basic elements of reasoning
Your posts are moderated
Related Questions
Solve 2x^2 + 5x + 36

Marginal Probability Probability of event A happening, denoted by P(A), is called single probability, marginal or unconditional probability. Marginal or Uncondi

you are in charge of making punch for an upcoming dance. the punch recipe makes 5 cups of punch by making 3 cups of cranberry juice with 2 cups of apple juice. What is the ratio of

The Dow Jones Industrial Average fell 2% presently. The Dow began the day at 8,800. What was the Dow at the end of the day after the 2% drop? The Dow lost 2%, so it is worth 9

how to solve for x

For queries Q 1 and Q 2 , we say Q 1 is contained in Q 2 , denoted Q 1 ⊆ Q 2 , iff Q 1 (D) ⊆ Q 2 (D) for every database D. The container problem for a fixed Query Q 0 i

Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?