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.

A. passes laws and adopts budgets b. resolves disputes among members c. ensures legislation is applied fairly d. represents the eu globally a recent challenge to the european union created by a member state is a. migration b. free trade c. brexit d. the euro which is the most powerful position in the british government? a. the monarch b. the chancellor c. the prime minister d. the president which describes a constitutional monarchy? a. a monarchy in which a king or queen has all the power b. a monarchy in which the people elect the king or queen c. a representative government with a mostly ceremonial ruler d. a representative government with only one set of written laws

Rhazes a famous muslim doctor to create

What were some of the great finds that portuguese sailors discovered after prince henry established his navigational school in 1415?