Exercise 3.6 For each of the following premises, fill out the rest of the argume
ID: 3501648 • Letter: E
Question
Exercise 3.6 For each of the following premises, fill out the rest of the argument to make it valid in two different ways-modus ponens and modus tollens. 1. If God is in his heaven, then all is right with the world. 2. If Lino is telling the truth, he will admit to all charges. 3. If some wars are just, then pacifism is false. 4. If the new vaccine prevents the spread of the virus, the researchers who developed the vaccine should get the Nobel Prize. s rtheinus n Nigeri ontinues thousands more wilale 7. If the glaciers are melting, global warming has increased. 8. If there is such a thing as moral progress-that is, social changes in which we judge states of affairs to be "better" now than before-then the Enlightenment ideal of moral perfection is possible. 9. If solar power can supply six megawatts of power in San Francisco (which is certainly not the sunniest place in the world), then solar power can transform the energy systems in places like Texas and Arizona. 10. If my honorable colleague would stop listening to only his own voice for less than sixty seconds, he would doubtless be astonished that there are other minds in the world with other ideas.Explanation / Answer
a. Modus ponens: God is in his heaven. Therefore, all is right with the world.
Modus tollens: All is right in the world. Therefore, God must be in his heaven.
b. Modus ponens: Lino admits to all charges. Therefore, he must be telling the truth.
Modus tollens: Lino tells the truth. Therefore, he must have admitted to his charges.
c. Modus ponens: Some wars are just. Therefore, pacifism is false.
Modus tollens: Pacifism is false. Therefore, some wars are just.
d. Modus ponens: The new vaccine prevents the spread of virus. Therefore, the researchers who developed the vaccine get the Nobel Prize.
Modus tollens: The researchers who developed the vaccine get the Nobel Prize. Therefore, the new vaccine must have prevented the spread of virus.
Please post the other questions separately as we are supposed to answer just one question or four sub parts of the same question.
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