For each logical argument below,identifythe component statements by labeling them with capital letters (see page 26-27ofThe Power
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For each logical argument below,identifythe component statements by labeling them with capital letters (see page 26-27ofThe Power of Logic). Then,indicate whichformthe argument takes (modus ponens,modus tollens,denying the antecedent, oraffirming the consequent). Then, indicate whether thatargument form is valid or invalid.
Ex:If you study for the test, you will do well. You can study for the test. So, you can do well.
1) If A, then B. 2) A So,3)B, modus ponens,valid
- Ifdo well on my assignments, I will get a good grade. I did notdo well on my assignments. So, I will not get a good grade.
- If Obama is president, a democrat is president. Obama is not president. So, a democrat is not president.
- IfJohn has a Saint Bernard, John has a large dog. John has a large dog. So, John has a Saint Bernard.
- If I work full time, I work at least 40 hours a week. I work at least 40 hours a week. So, I work full time.
- Ifyou respect someone, you will listen to their opinion. You did not listen to me. Therefore, you must not respect me.
- If you are an optimist, you are more likely to succeed. You want tosucceed. So, you should be an optimist.
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