Exam 1: Thinking Critically

Evaluate the validity of the chain of conditionals. -Premise: If I pay my bills on time, then my credit will be good. Premise: If my credit is good, then I will become a movie star. Conclusion: If I pay my bills on time, then I will become a movie star.

Draw a Venn diagram to determine whether the argument is valid. -Premise: All snakes have fangs. Premise: Teri's pet does not have fangs. Conclusion: Teri's pet is not a snake.

Determine whether the statement is true or false. -If $9 + 2 = 19$ , then Canada is in North America.

Decide whether the statement makes sense. Explain your reasoning. -The answer to the question is a whole number but it is not an integer.

The statement connects two individual propositions with the word and. State whether the entire statement is true or false,and explain why. -George Washington was the first president of the United States of America and France is in Europe.

Rephrase the statement as a conditional proposition with the form "if p, then q." -All chocolate is good.

The argument given or described involves some kind of fallacy. Identify the fallacy. -When confronted with questions from the press about alleged scandals, a congressman replies that the allegations against him should be ignored since his accuser is part of a vast right-wing Conspiracy.

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number. --70

Decide whether the statement makes sense. Explain your reasoning. -If you have $5, then you will buy a hot dog; and, contrapositively, if you don't have $5, then you won't buy a hot dog. (Hint: focus on whether the word "contrapositively" is used correctly.)

The statement contains a double or multiple negation. Analyze the statement, explaining what it means. -The following Venn diagram describes the cars on a used car lot. Use it to determine how many Fords are on the lot.

Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint sets, oroverlapping sets. -motor vehicles and cars

Decide whether the argument is inductive or deductive. -Linda's last four children were girls. Therefore, the next one will be a girl.

Decide whether the argument is inductive or deductive. -For any positive number p $p , | - p | = p . \text { Therefore, } | - 33 | = 33$

Two statements are listed in which p, q, and r represent propositions. Are the two statements logically equivalent? -not (p and q); (not p)or q

Provide an appropriate response. -Consider the following ballot initiative: "Shall there be an amendment to the state constitution to prohibit the state legislature from adopting any law which inhibits the freedom of religious expression?" Explain the meaning of a "no" vote.

Draw a Venn diagram with three overlapping circles for the three given sets. Label the contents of every region. If aregion has no members, state that fact clearly. -salty things, sweet things, tangy things

Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion. -Premise: Calvin Coolidge was over 35 years old when he became President of the United States. Premise: Bill Clinton was over 35 years old when he became President of the United States. Premise: Ronald Reagan was over 35 when he became President of the United States. Conclusion: Every United States politician is at least 35 years old.

The argument contains an example of the fallacy named in parentheses. Explain how the fallacy occurs in the argument. -(Hasty Generalization)Isabelle had vegetarian food for lunch every day last week, so she must be a vegetarian.

Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or notthe argument is valid. -Affirming the conclusion

Draw a Venn diagram to determine whether the argument is valid. -Premise: No surfers speak French. Premise: Pierre speaks French. Conclusion: Pierre is not a surfer.