Use your knowledge of the definitions of validity/soundness, strength, and cogency to determine which of the following statements are true. In a strong inductive argument with true premises, the conclusion may be false.
1. A valid deductive argument may have true premises and a false conclusion.
2. If a deductive argument has true premises and a true conclusion, then the argument still could be unsound.
3. To test an inductive argument for strength, the first step is to determine whether the premises are all actually true.
4. An uncogent inductive argument does not have to be weak.
5. An uncogent inductive argument must have at least one false premise.
6. It is proper to call an argument true or false. If an inductive argument is weak, then it is also cogent.
7. If an argument is inductively strong, then it is also deductively valid.
8. If you do not know the truth values of an inductive argument's premises, then the argument must be uncogent.
9. A generalization could be deductively valid.
10. Arguments that rely solely on the definition of a word or term will either be valid or invalid, not strong or weak.
11. You cannot tell the strength of an inductive argument solely from the truth values of the argument's premises and conclusion.
12. If a conclusion of an argument follows by necessity from premises that are assumed to be true but are actually false, then the argument must be sound.
13. All arguments must be either deductively sound or unsound, or inductively cogent or uncogent.