Sample Paper for Propositional Arguments Essay Example for Free

ingest Paper for Propositional Arguments EssayIn this paper, I will analyze the following business line in ground of validity and soundness An affirmation is a syllogism only if it is valid. An wrinkle has a current conclusion, if it is valid. If an argument has lucid forgos, then it has a true conclusion. Thus, if an argument is a syllogism, then it has a true conclusion.As we sh entirely currently learn, this argument is valid exactly unsound.I begin my analysis by providing a dictionary and put the argument in standard logical grade. Here is my dictionary. Let S stand for an argument is a syllogism Let V stand for an argument is valid Let C stand for an argument has a true conclusion Let P stand for the expound are consistent Here is the argument in standard logical form.SVPCVCSCThis argument is valid. My proof for validity outhouse be found in my appendix at the end of the paper. And no, I am not going to provide an appendix for a sample paper. nowadays that we know that the argument is valid, let us examine each statement in the argument. The first exposit is SV. This states that if an argument is a syllogism, then it is valid. This is false. An argument could be a syllogism yet be hamper. A syllogism is an argument that has two premises and a conclusion but such an argument can be valid or invalid. nearly poodles are dogsSome elephants are not dogsNo elephants are poodlesThis argument is a syllogism yet it still has an invalid form. No, you dont reach to prove the form is invalid but you better be correctThe second premise is PC. This states that if the premises are consistent, then the argument has a true conclusion. This premise is false. If the premises are consistent, then there is an interpretation where they are all true. but we know nothing about the conclusion.P1 P2 P3 C T T T F In this truth table, we see that our premise are consistent. There is an interpretation where all three are true. But in this interpretation, t he conclusion is false. So, the argument is actually invalid. ( This is a relatively abstract truth table. You could also apply a concrete example such as this AvBA .BThis argument has consistent premises but it is invalid. You will want to present both the argument and a truth table. Dont make the reader guess what are the premises and conclusion from the table itself. Present the argument)The third premise is VC. This states that if an argument is valid, then it has a true conclusion. This is false. A valid argument can have a false conclusion. All dogs are catsSome mice are dogsSome mice are catsAs we can see from this example, a valid argument can have a false conclusion but only it if also has false premises.Finally, let us examine the conclusion SC. This states that if an argument is a syllogism, then it has a true conclusion. This also is false. A syllogism can have either a true or false conclusion. Here is an example of a syllogism with a false conclusion. Some mice are ca tsSome mammals are miceNo mammals are catsA sound argument has both a valid form and true premises. While our argument had the valid form, it also had false premises. Thus, our argument is valid but unsound.