# What Is A Contradiction Example?

Another method of proof that is frequently used in mathematics is a proof by contradiction.

This method is based on the fact that a statement X can only be true or false (and not both).

The idea is to prove that the statement X is true by showing that it cannot be false.

Since it cannot be false, then X must be true..

## What do you call a person who always contradicts?

A contrarian is someone who takes an opposing view, especially for the sake of being difficult, contentious or in opposition to the generally held view.

## What is it called when someone contradicts themselves?

An oxymoron is two or more words that contradict themselves (e.g. “poor little rich girl” or “living dead”). Sometimes an oxymoron is intended to be humorous (e.g. “military intelligence” or “rap music”). A paradox is a phrase that contradicts itself (e.g. “A Cretan says ‘All Cretans are liars'”).

## How do you prove by contradiction?

In a proof by contradiction, we start by assuming the opposite, ¬P: that there is a smallest rational number, say, r. Now, r/2 is a rational number greater than 0 and smaller than r.

## What is the difference between Contrapositive and contradiction?

3 Answers. Proving the contrapositive is equivalent to proving the original statement, and can sometimes be cleaner. … A proof by contradiction proves a statement true that can be proven false (typically is already known to be false) by other means, meaning that the logic being used is inconsistent.

## Can a person be a contradiction?

There is no defined term for a person who keeps contradicting his actions and statements. However, you can’t consider such people trustworthy for sure. They are fake as they can’t stand up to their words and actions. … Commercial firms contradict themselves every moment.

Contradicting yourself can be bad as well Those people are too afraid to follow their own gut feeling and that’s what’s killing their self esteem even more. It’s extremely painful when someone else shares what you didn’t dare to do. They get all the credit and you feel even worse.

## How do you prove negation?

Proof of negation: Let x = 0. (Or, choose x = 0; or, suppose x is 0; … .) Then x2 + 4 = 4 < 5. so, there exists a real x (namely, x = 0) such that x2 + 4 < 5. Thus, the negation is true, and so the original statement is false.

## What is a contradiction in a sentence?

1 : act or an instance of contradicting the defendant’s contradiction of the plaintiff’s accusations. 2a : a proposition, statement, or phrase that asserts or implies both the truth and falsity of something … both parts of a contradiction cannot possibly be true …— Thomas Hobbes.

## What is meant by contradiction?

the act of contradicting; gainsaying or opposition. assertion of the contrary or opposite; denial. a statement or proposition that contradicts or denies another or itself and is logically incongruous. direct opposition between things compared; inconsistency.

## What does it mean if you contradict yourself?

: to say or do something that is opposite or very different in meaning to something else that one said or did earlier The witness contradicted herself when she insisted she could identify the thief even though she had said that the night was too foggy to see clearly.

## When someone contradicts what you say?

People who constantly contradict others can drive you to the point of insanity. Apparently, there is an official term called “oppositional confrontation style,” where the person basically disagrees with everything you say.