Can A Valid Argument Have False Premises And False Conclusion?

by | Last updated on January 24, 2024

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A

valid argument can have false premises

; and it can have a false conclusion. … Since a sound argument is valid, it is such that if all 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.

Can a valid argument have a false conclusion?

FALSE: A valid argument must have a true conclusion only if all of the premises are true. So it is possible for a valid argument to have a false conclusion as

long as at least one premise is false

.

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.

Is every argument with false premises invalid?

If an argument is invalid, then it must have

at least one false premise

. If an argument has a conclusion that is certainly false, then the argument must be invalid. If the premises and conclusion are all false, the argument must be invalid. Some invalid arguments have true premises and a true conclusion.

Could there be a valid argument that has one false premise and one true premise?

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. Thus at

least one premise must be false

. … If an invalid argument has all true premises, then the conclusion must be false.

What is false premise example?

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. … For example, consider this syllogism, which involves a false premise:

If the streets are wet, it has rained recently

.

Can an unsound argument have a true conclusion?

It should be noted that both invalid, as well as valid but

unsound, arguments can nevertheless have

. One cannot reject the conclusion of an argument simply by discovering a given argument for that conclusion to be flawed.

What can an argument with false premises not be?

In the case of an argument which actually has false premises, it takes a short story or fictional work to do this. Such an argument is

UNSOUND

because the argument does NOT have true premises. … For either example, the logic is valid but the premises are false. For the premises to be true, all of them need to be true.

What is an example of an invalid argument?

An argument can be invalid

even if the conclusion and the premises are all actually true

. To give you another example, here is another invalid argument with a true premise and a true conclusion : “Paris is the capital of France. So Rome is the capital of Italy.” .

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

If an argument is valid and it has false premises, then

it must have a false conclusion

. A valid argument with false premises may still have a true conclusion. If an argument is invalid and the premises are both true, then the conclusion must be false.

What type of argument has all true premises but is neither valid nor strong?

In

a valid deductive argument

, if the premises are true, it is impossible for the conclusion to be false. It is important to keep in mind that just because an argument does have a possibly valid combination of premise-conclusion truth values (for example, true premises and true conclusion), it is not necessarily valid.

What type of argument is a strong argument with all true premises?

Definition:

A cogent argument

is a strong non-deductive argument

What logical conclusion can you draw about an argument that is valid but has a false conclusion?

What logical conclusion can you draw about an argument that is valid but has a false conclusion? This

argument must have at lease one false premise

Can a cogent argument have false premises?

To say an argument is sound is to say it is a “good” argument, that the conclusion ought to be believed. … To say an argument is cogent is to say it is good, believable; there is good evidence that the conclusion is true.

A weak argument cannot be cogent

, nor can a strong one with a false premise(s).

What makes a premise valid?

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. … All deductive arguments aspire to validity.

How do you find the premise of an argument?

If it's being offered as a reason to believe another claim, then it's functioning as a premise. If it's expressing the main point of the

argument

, what the argument is trying to persuade you to accept, then it's the conclusion. There are words and phrases that indicate premises too.

Amira Khan
Author
Amira Khan
Amira Khan is a philosopher and scholar of religion with a Ph.D. in philosophy and theology. Amira's expertise includes the history of philosophy and religion, ethics, and the philosophy of science. She is passionate about helping readers navigate complex philosophical and religious concepts in a clear and accessible way.