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14 Cards in this Set

  • Front
  • Back

What is a valid argument?

Where it is not possible for the premises to be true and the conclusion false

What is a proposition?

A statement that is either true or false

What is an example of an argument that lacks a truth value?

The moon is made of green cheese.

What is a sound argument?

Valid argument where the premises are all true

What is a premise?

A statement that explains or support the conclusion

What is a conclusion?

The final statement of an argument

Can a valid argument have a false conclusion?

No. It can have an unsound conclusion, but if both premises are true the conclusion must be as well.

Can a sound argument have a false conclusion?

Yes. When it rains, the ground is wet. The ground is wet. Therefore it is raining.

Can an invalid argument have all true premises and a true conclusion?

Yes. My name is Steve. The sky is blue. My name is Steve, therefore the sky is blue.

P & Q

And, but, however, although, nevertheless, nonetheless, moreover

P v Q

Or, unless

(P v Q) &~ (P & Q)

Or (exclusive) or, and it is not the case that (p&q)

P c Q

If P then Q. P only if Q. Q if P. Q provided that P. Q given P.

P = Q

P if and only if Q.