Can a deductively valid argument have all false premises?

A valid deductive argument cannot have all false premises and a true conclusion. A valid deductive argument can have all false premises and a false conclusion. 9. Whether an argument is valid has nothing to do with whether any of it’s premises are actually true.

How can an argument be valid with false premises?

3. If a valid argument has a false conclusion, then at least one premise must be false. TRUE: A valid argument cannot have all true premises and a false conclusion. So if a valid argument does have a false conclusion, it cannot have all true premises.

What is an argument with a false premise?

A false premise is an incorrect proposition that forms the basis of an argument or syllogism. Since the premise (proposition, or assumption) is not correct, the conclusion drawn may be in error. However, the logical validity of an argument is a function of its internal consistency, not the truth value of its premises.

Can a valid deductive argument ever have false premises Why or why not p 44?

Can a valid deductive argument ever have false premises? Yes, it can. The structure of a deductive argument renders it either valid or invalid, and validity is a separate matter from the truth of the argument’s statements.

Can false premises lead to a true conclusion?

False premises can lead to either a true or a false conclusion even in a valid argument. In these examples, luck rather than logic led to the true conclusion.

Can a deductively sound argument have a false conclusion?

A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Otherwise, a deductive argument is said to be invalid.

What can an argument with false premises not be?

A valid argument can have false premises; and it can have a false conclusion. But if a valid argument has all true premises, then it must have a true conclusion. Since a sound argument is valid, it is such that if all the premises are true then the conclusion must be true.

Can a conclusion be true with false premises?

Can you have false premises and true conclusion?

What is an argument with false premises and false conclusion?

So, an argument with a mixture of true and false premises is still considered to be an argument with false premises–it is false that all of the premises are true. Nevertheless, in these examples, the conclusion is false. For either example, the logic is invalid and the premises are false. Here the conclusion is false.

How do you know if an argument is invalid?

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.

Can a deductively valid argument have a false conclusion?

By definition, a valid argument cannot have a false conclusion and all true premises. So if a valid argument has a false conclusion it must have some false premise. Some unsound arguments are valid. They are unsound because they do not have all true premises.

When is a deductive argument said to be valid?

A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Otherwise, a deductive argument is said to be invalid. A deductive argument is sound if and only if it is both valid, and all of its premises are actually true.

Can a valid argument have false premises and a true conclusion?

A valid argument guarantees that the conclusion shall be true whenever all premises are true. This guarantee is broken only when the conclusion may be false when all premises are true. So a valid argument does allow for a case where the conclusion is true while some (or all) of the premises are false. Its guarantee is not broken by that.

Can a sound argument have all true premises?

FALSE.   A sound argument is both valid and has all true premises.   Since a sound argument is valid, it is such that ifall the premises are true then the conclusion must be true.   Since a sound argument also has all true premises, it follows that a sound argument must have a true conclusion.

When is an argument valid in a problem?

An argument is valid if the truth of all its premises forces the conclusion to be true. An argument is valid if it would be inconsistent for all its premises to be true and its conclusion to be false.