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 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 argument have false premises?
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.
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.
Can a valid argument have false premises and a false conclusion example?
So, Elizabeth Taylor must be younger than 35. For either example, the logic is valid but the premises are false . ... False premises can lead to either a true or a false conclusion even in a valid argument. In these examples, bad luck rather than bad logic led to the false conclusion.
Can a conclusion be true if a premise is false?
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. 2. A sound argument must have a true conclusion.
Can a deductive argument have false premises?
A valid deductive argument can have all false premises and a false conclusion. ... Whether an argument is valid has nothing to do with whether any of it's premises are actually true. 10. No sound deductive argument has a false premise.
What is a strong argument?
Definition: A strong argument is a non-deductive argument that succeeds in providing probable, but not conclusive, logical support for its conclusion . A weak argument is a non-deductive argument that fails to provide probable support for its conclusion.
What is a false assumption?
– Beliefs, Opinions, Assumptions become our Truths . We all have unique and individual experiences, yet we expect each other to think, act, and respond in the same way that we would. These false assumptions get us into trouble when we think others must behave in the same manner as we do, or their behavior is wrong.
Can a cogent argument have a false conclusion?
A cogent inductive argument doesn't rule out even this combination—that is, it's possible but unlikely that a cogent inductive argument has true premises and a false conclusion . For instance, if it turns out that Tweety is an ostrich, then the premises are true but the conclusion is false.
Does every invalid argument have a false conclusion?
Every invalid argument has a false conclusion . ... If two arguments have identical logical form, then either they are both valid or they are both invalid. T F 9. If an argument has true premises and a true conclusion, then it is sound.
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.” .
What type of argument is a strong argument with all true premises?
Definition: A cogent argument is a strong non-deductive argument that has true premises.
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.
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 true conclusions . One cannot reject the conclusion of an argument simply by discovering a given argument for that conclusion to be flawed.
What is an example of a false syllogism?
Syllogistic Fallacy Examples
A syllogistic fallacy happens when you make two general statements to validate a conclusion. For example, when you say, “ all dogs are mammals, cats are mammals, therefore, dogs must be cats .” It's impossible to draw a conclusion based on the general premises you are making.
