Can a Invalid argument have a true conclusion?
A sound argument must have a true conclusion. TRUE: If an argument is sound, then it is valid and has all true premises. Since it is valid, the argument is such that if all the premises are true, then the conclusion must be true. If an invalid argument has all true premises, then the conclusion must be false.
Can a valid deductive argument have true premises and a false conclusion?
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.
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.
Does invalid mean false?
For either example, the logic is invalid but the premises are true. Here the conclusion is false. Invalidity is a no guarantee of a true conclusion when the premises are true. True premises can lead to either a true or a false conclusion in an invalid argument.
Do all unsound arguments have false conclusions?
If an argument has true premises and a true conclusion, then it is sound. No unsound arguments have a false conclusion. T F 11. If the conclusion of a valid argument is false, then at least one of its premises is false.
Can a cogent argument have a false conclusion?
Furthermore, a cogent argument is strong, so the premises, if they were true, would succeed in providing probable support for the conclusion. Furthermore, the premises are true. Therefore, the argument is cogent, and so it is a good argument. This means that we can have good arguments that have false conclusions!
Can a valid argument be false?
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 deductive argument have a false conclusion?
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.
How can an argument be valid but untrue?
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. In effect, an argument is valid if the truth of the premises logically guarantees the truth of the conclusion.
What is false conclusion?
n. 1. ( Logic) a purported refutation of a proposition that does not in fact prove it false but merely establishes a related but strictly irrelevant proposition. 2. ( Logic) the fallacy of arguing in this way.
What makes the conclusion of a valid deductive argument true?