Part 1: Symbolize the following argument into propositional logic. Make sure you use the lexicon provided. Do not assume anything about the validity or invalidity of the arguments, just symbolize them. Always check your answers by translating back into English using the lexicon provided and then compare against the original English - if they are not paraphrases, then your answer is wrong. 1. If Mary leaves, then if Billy leaves, then Harriet can leave. But Harriet can't leave. So, either Mary doesn't leave or Billy doesn't leave. (M: Mary leaves, B: Billy leaves, H: Harriet can leave) 2. Provided that the dog barked, then either it was frightened or it is hungry. The dog is frightened only if it is attacked, but there was no other animal present. It is attacked only if there is another animal present. So, the dog must be hungry. (B: The dog barked, F: The dog was frightened, H: The dog is hungry, A: The dog is attacked, S: Some other animal is present)