Math 2110

Inductive Reasoning

A method of reasoning in which a general conclusion is drawn from specific examples or patterns. It is often used to formulate conjectures based on observed data.

Deductive Reasoning

A logical process where specific conclusions are drawn from general principles or premises, often used to prove the validity of statements.

Conjecture

An unproven statement or hypothesis based on observations or patterns, often requiring further investigation or proof.

Counterexample

An example that disproves a conjecture or statement by showing it to be false in at least one case.

Theorem

An established statement or principle that has been proven based on previously accepted statements or axioms, often used in mathematics to demonstrate the truth of other statements.

Proof

A logical argument that verifies the truth of a statement or theorem, using deductive reasoning and previously established results.

Factors

Numbers that can be multiplied together to get a product.

Multiples

Numbers that can be divided by a given number without a remainder.

Prime

A natural number greater than 1 that has no positive divisors other than 1 and itself.

Composite Numbers

Natural numbers greater than 1 that have more than two positive divisors.