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Inductive Reasoning
Drawing a conclusion based on experience.

Deductive Reasoning
To verify the truth of falsity of a conjecture.

Counterexample
To disprove a conjecture, such as "P implies Q" where in this case P is True but Q is False.

Factorial
The products of 1 up to and including a given integer.

Proof by Exhaustion
A situation in which all possible cases have been exhausted.

Direct Proof
In a conjecture such as "P implies Q," assume the hypotheses P and deduce the conclusion Q.

Even Number
A number that is an integral multiple of 2.

Odd Number
A number 1 more than an integral multiple of 2.

Contrapositive
In a conjecture such as "P implies Q," would be "not Q implies not P."

Proof by Contraposition
To prove a conjecture in the form of "P implies Q" by doing a direct proof of "not Q implies not P."

Proof by Cases
A form of exhaustive proof.


