Can I IMAGINE circumstances where the premises are true and the conclusion false? True. Validity is a guarantee of a true conclusion when the premises are true but offers no guarantee when the premises are false. The question: Can a valid argument be such that all the premises and the conclusion are false? Your argument is valid (in any structure where the premises get a designated value the conclusion get such a value) but the conclusion is not logically false (since its negation is satisfiable). 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. In the case of an argument which actually has false premises, it takes a short story or fictional work to do this. If an argument is valid, it is a valid deduction, and if its premises are true, the conclusion must be true: a valid argument cannot have true premises and a false conclusion. But, for the premises to be false, only one need be false. But anyway, if we take the first valid syllogism on your chart, the form 'AAA', we could construct the following argument: All wardrobes are living organisms, All humans are wardrobes, Question 3: Yes, the argument is formally valid. Elizabeth Taylor is president of the United States. In these examples, the conclusion is also false. 7. Ardi, not all valid arguments are syllogisms. The only way false premises can be involved in a valid argument that leads to a true conclusion is when the false premises are redundant premises, which is to say, they have no logical impact on the conclusion. So, Elizabeth Taylor must be younger than 35. Nevertheless, in these examples, the conclusion is true. Only, in this case, we do NOT have to invent the story--reality is the story. False . For the premises to be true, all of them need to be true. Such an argument is UNSOUND because the argument does NOT have true premises. Logic is the study of methods for evaluating whether the premises of an argument adequately support its conclusion. An argument is a disagreement between two people. If Elizabeth Taylor is president of the United States, then Elizabeth Taylor must be 35 years of age or older. Back to your question, given an argument has false premises and a false conclusion, it does not necessarily follow that the argument is valid or invalid. False premises can lead to either a true or a false conclusion even in a valid argument. Unfortunately, the premises (in the real world) are actually false. False. So, Elizabeth Taylor must be 35 years of age or older. For either example, the logic is valid but the premises are false. An argument is valid when if all of the premises are true, then the conclusion has to be true as well. TRUE: A valid argument cannot have all true premises and a false conclusion. True . So if a valid argument does have a false conclusion, it cannot have all true premises. 8. Valid (true premises, true conclusion) Next Related Topic on Ring. False. But, for the premises to be false, only one need be false. The only thing a valid argument cannot have is all true premises and a false conclusion. Furthermore, the premises are actually true. Consider: The president of the United States must be 35 years of age or older. Deductive arguments are either valid or invalid. If a valid argument has a false conclusion, then at least one premise must be false. 6. True. False premises can lead to either a true or a false conclusion even in a valid argument. 4. In these examples, bad luck rather than bad logic led to the false conclusion. And, both the premises and the conclusion are true. True. True. Validity is a guarantee of a true conclusion when the premises are true but offers no guarantee when the premises are false. So, Elizabeth Taylor must be younger than 35. If the premises were true, then the conclusion would be true. Deductive arguments may be either valid or invalid. 5. So is every argument for which we can invent a story in which the premises are true and the conclusion false. The difference between an inductive and a deductive argument is in the kind of inferential claim they make.