Essay The Logical Form Of An Argument
In order to prove an argument, one has to provide reasons to support it. To do so, one begins with plausible assumptions, the premises (axioms) and then show that those assumptions logically entails a conclusion (theorem).
The logical form of an argument shows whether the argument is valid or invalid. Let’s assume that all three of the statements in the given argument are true. Even though the premises and the conclusion turn out to be true, the argument is invalid. To see this more clearly, let’s focus on the given argument’s logical form and come up with another argument having that same logical form:
All Athenians are human.
Socrates is human
Therefore, Socrates is an Athenian.
In the new argument, it is possible for the first and second premise to be true without the conclusion to be true as well. It would be implausible to conclude that “Socrates is an Athenian” based on the two premises. The argument is invalid, since the conclusion does not logically ensue from the premises.
Each and every argument of this logical form will be such that the…