What is a consistent argument?

An argument is consistent if all its statements are true. Isn’t this the same thing? No, not the same thing. Consistency and truth are totally different things. And it’s false that an argument is consistent if all its premises are true.

How do you know if a sentence is inconsistent or consistent?

A set of claims is consistent if and only if it is possible for all of the claims in the set to be true together. A set of claims is inconsistent if and only if it is not possible for all of the claims in the set to be true together.

Why is an argument with inconsistent premises valid?

An argument with inconsistent premises is valid, regardless of what the conclusion is. If an argument has inconsistent premises, then it is impossible for all the premises to be true at the same time; hence it is impossible for all the premises to be true while the conclusion is false. Yes.

How can an argument be invalid?

TRUE: A valid argument cannot possibly have all true premises and a false conclusion. If some argument really does have all true premises and a false conclusion, then it is obviously possible for such an argument to have true premises and a false conclusion. So the argument is invalid.

What is a valid argument examples?

Example. The argument “All cats are mammals and a tiger is a cat, so a tiger is a mammal” is a valid deductive argument. Both the premises are true. To see that the premises must logically lead to the conclusion, one approach would be use a Venn diagram.

Is valid argument consistent?

If the set containing the premises and the conclusion is consistent, and the argument is valid, then the set containing the premises and the negation conclusion will be inconsistent. Thus, if the set consisting of the premises and the negation of the conclusion is consistent, the argument must be invalid.

What are consistent statements?

Two statements are consistent iff it is possible for them to both be true at the same time. To test for consistency, do a joint truth.

What is consistent person?

Someone who is consistent always behaves in the same way, has the same attitudes towards people or things, or achieves the same level of success in something. He has never been the most consistent of players anyway. If one fact or idea is consistent with another, they do not contradict each other.

What is an invalid argument?

Invalid: an argument that is not valid. We can test for invalidity by assuming that all the premises are true and seeing whether it is still possible for the conclusion to be false. If this is possible, the argument is invalid. Validity and invalidity apply only to arguments, not statements.

Is an inconsistent argument valid?

All arguments with inconsistent premises are valid, as there is no possible world in which the premises are all true.

What is the difference between a valid and invalid argument?

  Only arguments have a structure/form that can be called ‘valid’ or ‘invalid’.  Statements are either true or false, but validity is not the same thing as truth. 6. FALSE.   A valid argument can have false premises; and it can have a false conclusion.   But ifa valid argument has all true premises, then it must have a true conclusion.

Can a set of sentences be consistent but not valid?

A set of sentences may consistent or inconsistent but not valid or invalid. 2. In a valid argument, there is no need for the premises to be true. (One may want the premises of one’s argument to be true; but their not being true does not affect its validity.

What is the difference between validity and consistency in arguments?

An argument is valid if and only if it’s impossible for all of the premises to be true and the conclusion false and the same time. Consistency is just that – consistency. It’s something that holds for sets of sentences but not arguments. Valid arguments can be inconsistent (via the paradox of entailment) eg.

Can a valid argument have a false conclusion?

A valid argument can have false premises; and it can have a false conclusion.   But ifa valid argument has all true premises, then it must have a true conclusion. 7. FALSE.   A sound argument is both valid and has all true premises.