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.
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