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What does it mean for an argument to be valid? (b) If an argument is invalid, do

Mathematics
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What does it mean for an argument to be valid?

(b) If an argument is invalid, does that mean that its conclusion is false? Why or why not?

Apr 18th, 2015

From below example you can understand the what is validity of argument.

Validity is a property of the argument's form. It doesn't matter what the premises and the conclusion actually say. It just matters whether the argument has the right form. So, in particular, a valid argument need not have true premises, nor need it have a true conclusion

  1. All cats are reptiles.
  2. Bugs Bunny is a cat.
  3. So Bugs Bunny is a reptile.

Neither of the premises of this argument is true. Nor is the conclusion. But the premises are of such a form that if they were both true, then the conclusion would also have to be true. Hence the argument is valid.

(b) argument 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.

so we can say that if argument is invalid then conclusion is always false.

Reference :

http://web.stanford.edu/~bobonich/terms.concepts/valid.sound.html

http://www.jimpryor.net/teaching/vocab/validity.html

Thanks


Apr 18th, 2015

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