What are the basic elements of reasoning, Mathematics

Assignment Help:

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.

 


Related Discussions:- What are the basic elements of reasoning

Upward lline stretch, what is Baker College Online upward line stretch?

what is Baker College Online upward line stretch?

Hyperboloid of two sheets - three dimensional spaces, Hyperboloid of Two Sh...

Hyperboloid of Two Sheets The equation which is given here is the equation of a hyperboloid of two sheets. - x 2 /a 2 - y 2 / b 2 + z 2 /c 2 = 1 Here is a diagram of

Parabola, please i need the answers to x^_7x+10 i want the vertex,axis of s...

please i need the answers to x^_7x+10 i want the vertex,axis of semetery,y intersect and the x intercept

Variation and proportion, i am not getting what miss has taught us please w...

i am not getting what miss has taught us please will you will help me in my studies

Algebria, solve and graph the solution set 7x-4 > 5x + 0

solve and graph the solution set 7x-4 > 5x + 0

Tutor, I AM A EXPERT OF MATHEMATICS.CAN I BECOME A TUTOR? PLEASE TELL ME SO...

I AM A EXPERT OF MATHEMATICS.CAN I BECOME A TUTOR? PLEASE TELL ME SOON.

Division, there are 2,500 chips in a bag you slit them up into 20 groups ho...

there are 2,500 chips in a bag you slit them up into 20 groups how many chips are in a group

Velocity and acceleration - three dimensional space, Velocity and Accelerat...

Velocity and Acceleration - Three Dimensional Space In this part we need to take a look at the velocity and acceleration of a moving object.    From Calculus I we are famili

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd