Parts of If-then Statements Antecedent The clause following if Consequent The clause following then If you want to go south,then turn right. These could also be called the hypothesis and conclusion Road sign source:
Example If the equation y=1/3x+2 is graphed on a coordinate plane, then its graph is a line. Which part is the antecedent, and which part is the consequent?
Abbreviating Conditionals Why do we abbreviate conditionals? It is tedious to write them out Mathematicians are lazy Abbreviate the conditional: If you want to go south, then turn right. If s, then r. s r (read s implies r)
Instances of Conditionals - when the antecedent (if part) and consequent (then part) are true
Truth and Falsity of Conditionals True Only if in every time the antecedent is true, the conditional is true False Find just one example of when the antecedent is true and the consequent is false Also known as a counter example to a conditional
Example If you drew a square, then you drew a polygon. Give a counter example to this.