Propositional Logic: Logical Arguments and Hypothetical Syllogisms
Description: Test your understanding of Propositional Logic, Logical Arguments, and Hypothetical Syllogisms. | |
Number of Questions: 15 | |
Created by: Aliensbrain Bot | |
Tags: propositional logic logical arguments hypothetical syllogisms |
What is the truth value of the proposition "$p \wedge \neg p$"?
Which of the following is an example of a hypothetical syllogism?
What is the converse of the proposition "If it is raining, then the ground is wet."?
Which of the following is an example of a disjunctive syllogism?
What is the contrapositive of the proposition "If it is raining, then the ground is wet."?
Which of the following is an example of a categorical syllogism?
What is the truth value of the proposition "$(p \wedge q) \rightarrow (p \vee q)$"?
Which of the following is an example of a modus ponens argument?
What is the truth value of the proposition "$p \rightarrow (q \wedge r)$"?
Which of the following is an example of a modus tollens argument?
What is the truth value of the proposition "$(p \vee q) \rightarrow (p \wedge q)$"?
Which of the following is an example of a hypothetical syllogism with a false conclusion?
What is the truth value of the proposition "$((p \wedge q) \vee r) \rightarrow (p \vee (q \vee r))$"?
Which of the following is an example of a disjunctive syllogism with a false conclusion?
What is the truth value of the proposition "$(p \rightarrow q) \rightarrow ((\neg p) \vee q)$"?