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

Prove that seca+tana=2x, If secA= x+1/4x, prove that secA+tanA=2x or  1/2x....

If secA= x+1/4x, prove that secA+tanA=2x or  1/2x. Ans:    Sec? = x +  1/4x ⇒ Sec 2 ? =( x + 1/4x) 2                             (Sec 2 ?= 1 + Tan 2 ?) Tan 2 ? = ( x +

Problem solving, Let E; F be 2 points in the plane, EF has length 1, and le...

Let E; F be 2 points in the plane, EF has length 1, and let N be a continuous curve from E to F. A chord of N is a straight line joining 2 points on N. Prove if 0 and N has no cho

Determine the displacement, Example: A 16 lb object stretches a spring 8/9...

Example: A 16 lb object stretches a spring 8/9 ft by itself. Here is no damping as well as no external forces acting on the system. The spring is firstly displaced 6 inches upward

Rounding decimals, i need help rounding decimals to the nearest 100th and t...

i need help rounding decimals to the nearest 100th and tenth

Harmonic mean, If a, b and c are in harmonic progression with b as th...

If a, b and c are in harmonic progression with b as their harmonic mean then, b  = This is obtained as follows. Since a, b and c are in

the word rotor, a)    A palindrome is a word that reads the similar whethe...

a)    A palindrome is a word that reads the similar whether read from right to left or from the left to right, the word ROTOR, for example. Let  be the number of words of length n,

Diffrentiation, y=f(a^x)   and f(sinx)=lnx find dy/dx Solution) dy/dx...

y=f(a^x)   and f(sinx)=lnx find dy/dx Solution) dy/dx = (a^x)(lnx)f''(a^x), .........(1) but f(sinx) = lnx implies f(x) = ln(arcsinx) hence f''(x) = (1/arcsinx) (1/ ( ( 1-x

Determine how much more time it will take to reach the base, A man on a top...

A man on a top of a tower observes a truck at an angle of depression α where tanα = 1/√5 and sees that it is moving  towards the base of the tower. Ten minutes later, the angle of

Multiply the polynomials, Multiply following. (a) (4x 2 -x)(6-3x) (b)...

Multiply following. (a) (4x 2 -x)(6-3x) (b) (2x+6) 2 Solution  (a) (4x 2 - x )(6 - 3x ) Again we will only FOIL this one out. (4x 2  - x )(6 - 3x) = 24x 2 -

Use newtons method to find out an approximation, Use Newton's Method to fin...

Use Newton's Method to find out an approximation to the solution to cos x = x which lies in the interval [0,2].  Determine the approximation to six decimal places. Solution

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