Thus, for an argument with contradictory premises we have that **there is no interpretation where the premises are all true**, and a fortiori there is no interpretation where all the premises are tue and the conclusion is false. Conclusion : an argument with contradictory premises is valid.

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## Can a contradictory argument be valid?

**Yes, an argument with contradictory premises is deductively valid**. That’s because it’s impossible to have all its premises true and its conclusion false (since its premises can never all be true)*.

## Why is an argument with contradictory premises valid?

But on a classical conception of validity, any argument with contradictory premises counts as valid, since **it is impossible for all the premises of an argument with contradictory premises to be true**, and so a fortiori impossible for the argument to have true premises and false conclusion.

## What makes a valid argument valid?

An argument is valid **if the premises and conclusion are related to each other in the right way so that if the premises were true, then the conclusion would have to be true as well**.

## What makes an argument valid and invalid?

Valid: an argument is valid if and only if it is necessary that if all of the premises are true, then the conclusion is true; if all the premises are true, then the conclusion must be true; it is impossible that all the premises are true and the conclusion is false. Invalid: an argument that is not valid.

## What is contradiction in an argument?

Contradictory premises involve **an argument (generally considered a logical fallacy) that draws a conclusion from inconsistent or incompatible premises**. Essentially, a proposition is contradictory when it asserts and denies the same thing.

## Can there be a valid argument whose conclusion is a contradiction?

This implies that the conclusion is a tautology. Therefore, if the premises of a propositionally valid argument are tautologies, then its conclusion must be a tautology as well.

No propositionally valid argument can have a contradiction as a conclusion.

P | (P∧¬P) | ¬(P→P) |
---|---|---|

T | F | F |

F | F | F |

## What makes an argument valid example?

A valid argument is an argument in which **the conclusion must be true whenever the hypotheses are true**. In the case of a valid argument we say the conclusion follows from the hypothesis. For example, consider the following argument: “If it is snowing, then it is cold. It is snowing.

## What makes an argument valid and sound?

A valid argument need not have true premises or a true conclusion. On the other hand, a sound argument DOES need to have true premises and a true conclusion: Soundness: An argument is sound if it meets these two criteria: **(1) It is valid.** **(2) Its premises are true.**

## What does it mean to say that an argument is valid?

An argument is valid =df **If all the premises are true, then the conclusion must be true**.

## What are contradictions?

A contradiction is **a situation or ideas in opposition to one another**. Declaring publicly that you are an environmentalist but never remembering to take out the recycling is an example of a contradiction. A “contradiction in terms” is a common phrase used to describe a statement that contains opposing ideas.

## How do you prove a contradiction?

To prove something by contradiction, we **assume that what we want to prove is not true, and then show that the consequences of this are not possible**. That is, the consequences contradict either what we have just assumed, or something we already know to be true (or, indeed, both) – we call this a contradiction.

## What causes contradiction?

In traditional logic, a contradiction occurs **when a proposition conflicts either with itself or established fact**. It is often used as a tool to detect disingenuous beliefs and bias.

## Can two contradictory statements be true?

**Contraries may both be false but cannot both be true**. Contradictories are such that one of them is true if and only if the other is false.

## How our contradictions make us human?

While most humans struggle to maintain a sense of psychological unity, **contradictions produce destabilizing breaches in the self**. Whether conscious or unconscious, these fissures nourish creative inspiration, which can be interpreted as a way to resolve or sublimate internal oppositions.