Converse and inverse errors are typical forms of invalid arguments. Prove that each argument is invalid by giving truth values forthe variables showing that the argument is invalid. You may find it easier to find the truth values by constructing a truth table. (a) Converse error p→q q ∴p (b) Inverse error p→q ¬p ∴¬q

Indicate whether the argument is valid or invalid. For valid arguments, prove that the argument is valid using a truth table. For invalid arguments, give truth values for the variables showing that the argument is not valid. (a) pvq

Given the argument: "If it is hot or humid, then I complain. I am not complaining. __________________ Therefore, it is neither hot nor humid." Translate the argument into symbolic form. Build a truth table for the above argument. Is this argument valid or invalid? Based on your truth table, explain why the argument is valid or invalid.

Proofs: Construct proofs to show that the following symbolic arguments are valid.  Commas mark the breaks between premises, ‘∴’ precedes the conclusion. You may use any rule, but you must use CP (H∨E)→K ∴E→K