Answer the following questions. Give short explanations based on the definitions of the relevant concepts.
1. Explain how deductive validity and inductive strength differ.
2. Can the conclusion of an inductively cogent argument be false? Explain.
3. Must an inductively strong argument have true premises? Explain.
Answers & Comments
1. If the arguer believes that the truth of the premises definitely establishes the truth of the conclusion, then the argument is deductive. If the arguer believes that the truth of the premises provides only good reasons to believe the conclusion is probably true, then the argument is inductive.
2. Cogent inductive argument has true premises and a false conclusion. For instance, if it turns out that Tweety is an ostrich, then the premises are true but the conclusion is false.
3. A strong inductive argument with true premises is termed cogent. To say an argument is cogent is to say it is good, believable; there is good evidence that the conclusion is true. A weak argument cannot be cogent, nor can a strong one with a false premise(s).
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