Exercise: Put the following simple arguments into standard form.
Exercise: Put the following complex arguments into standard form.
Exercise: Put the following arguments (all of which have implicit premises and/or an implicit conclusion) into standard form.
Exercise: Consider the following deductive argument. Are the premises true? Is it valid? Are the premises relevant to the conclusion? In each case briefly explain why.
Everyone who smokes gets lung cancer.
Everyone who gets lung cancer suffers a painful death. ∴ Everyone who smokes suffers a painful death.
Exercise: For each of the following deductive arguments: Is it valid? Why or why not? 1.
Some Americans like hamburgers.
Joe likes hamburgers.
Exercise: Evaluate the following inductive arguments with respect to Criterion 2. Is it a strong inductive argument? Why or why not?
Most Americans like hamburgers. Joe is American.
Exercise: Consider the statement B): Santa Barbara is not in California.
Exercise: Can there be:
In each case: if so, give an example; if not, explain why not.
III. Argument Formalization Exercises
Exercise: Consider these sentence letters. P: Plato is a philosopher. Q: Plato lives in Athens. R: Aristotle is a philosopher. Express the form of each of the following English sentences in the language of propositional logic.
Exercise: Consider these sentence letters. M: Those creatures are men in suits. C: Those creatures are chimpanzees. G: Those creatures are gorillas. Express the form of each of the following English sentences in the language of propositional logic.
Exercise: Consider these sentence letters. P: Pam is going. Q: Quincy is going. R: Richard is going. S: Sara is going. Translate each of the following arguments into the language of propositional logic. (In other words, put them into standard form and then translate their premises and conclusion into the language of propositional logic.)
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