Table of Contents
- 1 Is it possible to have a valid argument with false premises and a true conclusion?
- 2 What is an example of a valid argument with a false conclusion?
- 3 What is valid and invalid argument?
- 4 How can a valid argument have false premises?
- 5 How can an argument be valid but false?
- 6 What are valid and invalid arguments?
- 7 What is the difference between a valid and invalid argument?
- 8 What is the difference between validity and validity and conclusion?
Is it possible to have a valid argument with false premises and a true conclusion?
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. A sound argument is both valid and has all true premises.
What is an example of a valid argument with a false conclusion?
If Elizabeth Taylor is president of the United States, then Elizabeth Taylor must be younger than 35. Elizabeth Taylor is president of the United States. So, Elizabeth Taylor must be younger than 35. For either example, the logic is valid but the premises are false.
What is an example of a false premises?
A false premise is an incorrect proposition that forms the basis of an argument or syllogism. For example, consider this syllogism, which involves a false premise: If the streets are wet, it has rained recently. (premise)
Can a valid argument have false premises example?
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 valid and invalid argument?
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. If this is possible, the argument is invalid.
How can a valid argument have false premises?
Can an invalid argument have false premises?
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.
What are premises in an argument?
A premise is a statement in an argument that provides reason or support for the conclusion. There can be one or many premises in a single argument. A conclusion is a statement in an argument that indicates of what the arguer is trying to convince the reader/listener. The answer to this question is the conclusion.
How can an argument be valid but 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.
What are valid and invalid arguments?
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. Invalid: an argument that is not valid.
Can a valid argument have a false conclusion?
A valid argument can have false premises; and it can have a false conclusion. But ifa valid argument has all true premises, then it must have a true conclusion. 7. FALSE. A sound argument is both valid and has all true premises.
Can an argument have a false premise and all true premises?
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. 16. FALSE. Some unsound arguments are valid.
What is the difference between a valid and invalid argument?
Only arguments have a structure/form that can be called ‘valid’ or ‘invalid’. Statements are either true or false, but validity is not the same thing as truth. 6. FALSE. A valid argument can have false premises; and it can have a false conclusion. But ifa valid argument has all true premises, then it must have a true conclusion.
What is the difference between validity and validity and conclusion?
In these examples, the conclusion is also false. Validity is a guarantee of a true conclusion when the premises are true but offers no guarantee when the premises are false. False premises can lead to either a true or a false conclusion even in a valid argument.