Conjecture Indirect Reasoning – Reasoning that involves using specific examples to make a conclusion (Move from specific observations to general statements). You learn how to ride a bike by falling down, getting back up, and trying again. You learn how to fish by baiting the hook, casting the rod, and catching a fish, repeatedly.

Conjecture Deductive Reasoning – Reasoning that involves using a general rule to make a conclusion (Moving from general statements to specific conclusions). “Righty, tighty, lefty loosey” All men are mortal. Socrates is a man. Socrates is mortal.

Logic Counterexample – A specific example that shows the conditional statement false, also an indirect proof. If p, then q  Conditional Statement If q, then p  Converse If not p, then not q  Inverse If not q, then not p  Contrapositive