Make your own key to translate into propositional logic the portions of the following argument. Using a direct proof, prove that the resulting argument is valid. Inspector Tarski told his assistant, Mr. Carroll, If Wittgenstein had mud on his boots, then he was in the field. Furthermore, if Wittgenstein was in the field, then he is the prime suspect for the murder of Dodgson. Wittgenstein did have mud on his boots. We conclude, Wittgenstein is the prime suspect for the murder of Dodgson.

two jet streams that directly affect the formation of weather in the continental part are a polar jet and a subtropical jet. they are responsible for the transportation of weather systems, which directly affect people. the polar front is the boundary between cold air from the north pole and warmer equatorial air. both the polar jet and the subtropical jet blow from the west to the east, and follow the boundary between cold and warm air.

the strongest jet streams are polar jets, while subtropical jets are somewhat weaker.

the right answer is c. the polar jet stream is generaly stronger than the subtropical jet stream.

chavez's example shows that nonviolent protest can work well. it shows that one nonviolent man can stop a mob, which proves chavez's point and persuades people to protest nonviolently.

answer; an active listener;

answer; theory of mind;