Conditionals

I found the section of that text about conditionals to be interesting. A claim is considered a conditional claim if it can be rewritten as an "if..then..." claim that must have he same truth value. There are two parts to a conditional, the antecedent and the consequent. "If A, then B", the claim A is the antecedent, and the claim B is the consequent. An example of this would be: "If John gets taller, he will make the basketball team." In this example, the antecedent is "John gets taller" and the consequent is "He will make the basketball team." A contradictory of a conditional is: "If A, then B" has contradictory but "not A but not B." The contradictory of a conditional is not another conditional. Contrapositive's were also discussed in this section. The contrapositive of "If A, then B" is "If not B, then not A." A claim and its contrapositive are equivalent.The terms "necessary" and "sufficient" were also discussed in this chapter. A is "necessary for B means "If not A, then not B is true." A is sufficient for B means "If A, then B is true." Slippery slope arguments were also discussed in this section. A slippery slope argument is a bad argument that uses a chain of conditionals, at least one of which is false or dubious.