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

Area of the equilateral triangle: Given : D, E, F are the mind points of BC, CA, AB. R.T.P. : We have to determine the ratio of the area of of triangle DEF and triangle AB

how do you add all the Y.AND X UP WITH 3

Find out the next number in the subsequent pattern. 320, 160, 80, 40, . . . Each number is divided by 2 to find out the next number; 40 ÷ 2 = 20. Twenty is the next number.

Coming To Grips With Mathematics :  How does a child acquire mathematical concepts? Can any concept be presented to a child at any stage in such a manner that the child gets some

A class has 175 learners. The given table describes the number of learners studying one or more of the subsequent subjects in this case                 Subjects

we know that derivative of x 2 =2x. now we can write x 2 as x+x+x....(x times) then if we take defferentiation we get 1+1+1+.....(x times) now adding we get x . then which is wro

how you know that your first quadrilateral is an isosceles trapezoid

Samantha owns a rectangular field that has an area of 3,280 square feet. The length of the field is 2 more than twice the width. What is the width of the field? Let w = the wid

1.A manufacturing facility consists of five departments, 1, 2, 3, 4 and 5. It produces four components having the manufacturing product routings and production volumes indicated in