Define tautology and contradiction, Mathematics

Assignment Help:

Define tautology and contradiction. 

Ans: If a compound proposition comprises two atomic propositions as components, after that the truth table for the compound proposition consists of four entries. These four entries might be all T, may be all F, might be one T and three F and etc. There are in total 16 (24) probabilities. The possibilities while all entries in the truth table is T, involves that the compound proposition is all time true. This is called tautology. 

Though, when all the entries are F, it implies that the proposition is never true. This situation is considered as contradiction.


Related Discussions:- Define tautology and contradiction

Dynamical system and differential equations, 1. Discuss lyapunov function t...

1. Discuss lyapunov function theory and how it can be used to prove global assmptotic stability of solutions.(Give an example form natural and engineering sciences.) --- Draw le

What is number systems, NUMBER SYSTEMS: Numbers  are intellectual  witne...

NUMBER SYSTEMS: Numbers  are intellectual  witnesses  that belong  only  to  mankind. Example: If the H C F of 657 and 963 is expressible in the form of 657x + 963 x -

What distances from the two gates should the pole, A pole has to be erected...

A pole has to be erected at a point on the boundary of a circular park of diameter 13m in such a way that the differences of its distances from two diametrically opposite fixed gat

Determine how many valid fortran identifiers, A valid identifier in the pro...

A valid identifier in the programming language FORTAN contains a string of one to six alphanumeric characters (the 36 characters A, B,...., Z, 0, 1,...9) starting with a letter. De

find the present age, 5 years however, a man's age will be 3times his son'...

5 years however, a man's age will be 3times his son's age and 5 years ago, he was 7 times as old as his son.    Find their present ages.

Solid mensuration, a circle is circumscribed about an equilateral triangle ...

a circle is circumscribed about an equilateral triangle whose side is 3 cm. find the area of the circle.

Conclude the values of the six trigonometric functions, Conclude the values...

Conclude the values of the six trigonometric functions: Conclude the values of the six trigonometric functions of an angle formed through the x-axis and a line connecting the

Differential equations, solve the differential equation 8yk+2-6yk+1+yk=9 ,k...

solve the differential equation 8yk+2-6yk+1+yk=9 ,k=0 given that Y0=1 and y1=3/2

Describe the basic concepts and terminology, Describe the Basic Concepts an...

Describe the Basic Concepts and Terminology? Somebody tells you that x = 5 and y = 3. "What does it all mean?!" you shout. Well here's a picture: This picture is what's

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