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The statement "I always tell the truth" implies a contradiction because if the person always tells the truth, then they cannot lie, but if they were lying about always telling the truth, it would create a contradiction.

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6mo ago

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If x plus 5 x - 2 equals 18 then which of the following statements is true?

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What does the word contradiction mean in math?

A contradiction comprises a pair of statements which make mutually inconsistent assertions.


What does contradiction mean in math?

In mathematics, a contradiction refers to a situation where two or more statements or propositions are in direct opposition to each other, making it impossible for both to be true simultaneously. This often occurs in logical proofs, where establishing a contradiction helps to show that an assumption is false. For example, if you assume a statement is true and derive a contradiction, it implies that the original assumption must be false. Essentially, contradictions are essential in validating the correctness of mathematical arguments and proofs.


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A contradiction occurs when two statements or ideas conflict with each other, leading to a logical inconsistency. This means that both statements cannot be true at the same time. In formal logic, a contradiction can invalidate an argument or theory.


What symbol represents contradiction?

In Formal Logic proofs, the contradiction is represented with an inverted T (or upside-down T) as follows: ┴ The contradiction symbol can be introduced at any time a logical contradiction is encounterd, for example, all of the the following contradictory logical statements (using different symbols) can be replaced with the contradiction symbol: The ball is completely blue and the ball not completely blue. P ^ ¬P P & ~P P & !P P AND NOT P


What is ANOTHER NAME FOR INDERECT PROOF?

Another name for indirect proof is "proof by contradiction." In this method, the assumption is made that the statement to be proven is false, leading to a contradiction. This contradiction implies that the original statement must be true.


What is another name for a indirect proof?

Another name for an indirect proof is a proof by contradiction. In this method, the assumption of the opposite of what you want to prove is made, leading to a logical contradiction. This contradiction implies that the original statement must be true.


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How is contradiction different from an argument?

A contradiction occurs when two statements cannot both be true at the same time, leading to inconsistency. An argument, on the other hand, involves presenting a claim supported by reasons and evidence to persuade others of its validity or truth. In an argument, the aim is to provide a coherent and logical explanation, while a contradiction highlights an inconsistency or conflict in statements.


Is the second statement the contradiction of the first?

To determine if the second statement is the contradiction of the first, we need to analyze the meanings of both statements. A contradiction occurs when one statement asserts something that cannot coexist with the other. If the second statement directly negates the truth of the first, then it is indeed a contradiction. Otherwise, they may be related but not contradictory.


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