Inductive Reasoning
is the process of reasoning that a rule or a statement may be true by looking at specific cases.
Deductive Reasoning
is the process of using logic to draw conclusions. Deductive Reasoning uses facts, definitions, postulates, theorems, and logic to prove a statement is true for all cases.
Theorem
is a statement you can prove is true using a series of logical step
Proof
is an argument that uses true statement and logic to arrive at a conclusion