Use a truth tree to decide if the following set of sentences is consistent. If the set is consistent, give an interpretation on which all the sentences in the set are true. Use truth trees to determine whether the following sentence is a tautology, a contradiction, or a contingent sentence. Transcribe the following arguments into SL and construct truth trees to determine whether or not they are valid. If an argument is invalid, provide a counterexample. NB. Be careful with your transcriptions-the arguments are in conversational form and the grammar might obscure the logical structure. 8. If there are an infinite number of points in finite line L, then if those points have size, L will be infinitely long, and if they do not have size, L will not have a length at all. Line L is neither infinitely long nor without length. This proves that there are not an infinite number of points irn finite line L 9 NOT INCLUDED IN THIS VERSION Use a truth tree to decide if the following set of sentences is consistent. If the set is consistent, give an interpretation on which all the sentences in the set are true. Use truth trees to determine whether the following sentence is a tautology, a contradiction, or a contingent sentence. Transcribe the following arguments into SL and construct truth trees to determine whether or not they are valid. If an argument is invalid, provide a counterexample. NB. Be careful with your transcriptions-the arguments are in conversational form and the grammar might obscure the logical structure. 8. If there are an infinite number of points in finite line L, then if those points have size, L will be infinitely long, and if they do not have size, L will not have a length at all. Line L is neither infinitely long nor without length. This proves that there are not an infinite number of points irn finite line L 9 NOT INCLUDED IN THIS VERSION