[P∧¬P]→Q is a tautology and is a valid argument. A valid argument can be sound or...

[P∧¬P]→Q is a tautology and is a valid argument. A valid argument can be sound or unsound. An invalid argument, however, can not be sound. Would the above argument be sound or sound? Why or why not?

Expert Solution

an argument to be valid, it must take a form where it is immpossible for the premises to be true and the conclusion to be false.
If the premises don't logically guarantee the conclusion, then the argument is invalid means it is not valid. Truth doesn't factor into whether an argument is valid or not.
Infact, argument might be perfectly valid but still have a false conclusion. This is where soundness comes in.
If an argument is sound, then all of the premises are true.
If the conclusion is true and the premises are not, then the argument is unsound.
All sound arguments are also valid arguments. However, while an argument can be invalid or valid but unsound,
it doesn't mean that the conclusion is false. The conclusion might be perfectly true,
but a person doing the arguing got there through incorrect means.
A good way to know if an argument is invalid or unsound is to translate it into symbolic logic.

venereology answered 23 hours ago

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