The Dialectic = the attempt to develop a sustained pattern of argument in which the implications of different positions are drawn out and interact with each other.
Argument = a series of statements (premises) intended to establish the truth/plausibility of another statement (conclusion).
The following words/phrases usually indicate that a premise is about to appear: "because," "since," "for," "for the reason that," etc.
The following words/phrases usually indicate that a conclusion is about to appear: "therefore," "thus," "and so," "consequently," "necessarily," "hence," "it follows that," "for that reason," etc.
Generally, there are two types of argument: the inductive argument and the deductive argument.
Inductive Argument: This type of argument argues from repeated instances to a general conclusion. This is the form of most scientific arguments.
Example: This swan is white, that swan is white, . . . all ten thousand of the swans I have seen are white. Therefore, all swans are white.
Example: Shoemaker has failed all the students he has had who missed more than six class periods in a semester. Therefore, he will fail me if I miss more than six class periods this semester.
Deductive Argument: This type of argument involves a proof by logical inference, whereby a conclusion is arrived at by means of applying rules of logic to the premises. If a deductive argument is done correctly, then if the premises are true, the conclusion must be true as well. This is the type of argument most often used in philosophy, and it is the domain of formal logic.
The standard form of deductive arguments is the syllogism = a deductive argument in which a conclusion is inferred from two premises.
How to Evaluate Deductive Arguments:
Example of a valid argument:
In this example, both premises 1 and 2 are false. But the argument is still valid, because if the premises were true, the conclusion (#3) would necessarily be true. It remains doubtful whether #3 is true anyway.
Another kind of valid argument involves "if . . . then" statements, as follows:
Example #2 of a valid argument:
However, if the second premise is an instance of the "then" clause, instead of the "if" clause, the argument becomes invalid.
Example of an invalid argument (the "Gilligan's Island" argument):
For example, suppose someone put as a premise the following claim: "All persons have souls." We first have to find out precisely what is meant both by the word "persons" and by the word "soul" before we can go on to evaluate the truth of the premise. Similarly for other controversial terms, like "pornography," "God," "good/bad," etc.
Example of a sound argument:
The anti-abortion argument: