Sample Paper for Propositional Arguments Essay Example for Free

Sample Paper for Propositional Arguments EssayIn this paper, I will crumple the following business line in terms of validity and soundness An argument is a syllogism single if it is valid. An argument has a true conclusion, if it is valid. If an argument has consistent expound, thence it has a true conclusion. Thus, if an argument is a syllogism, then it has a true conclusion.As we shall soon learn, this argument is valid save unsound.I begin my outline by providing a dictionary and putting the argument in standard logical form. Here is my dictionary. permit 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 premises argon consistent Here is the argument in standard logical form.SVPCVCSCThis argument is valid. My proof for validity open fire be found in my appendix at the end of the paper. And no, I am not going to will an appendix for a sample paper.Now that we know that the argument is valid, let us examine each statement in the argument. The first premise is SV. This states that if an argument is a syllogism, then it is valid. This is fake. An argument could be a syllogism yet be invalid. A syllogism is an argument that has two premises and a conclusion but such an argument can be valid or invalid. Some poodles ar dogsSome elephants are not dogsNo elephants are poodlesThis argument is a syllogism yet it still has an invalid form. No, you dont have 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 description where they are all true. moreover 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, the conclusion is f alse. So, the argument is actually invalid. ( This is a relatively abstract truth table. You could also use 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 catsSome mammals are mi ceNo 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.