Mathematical Proof

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10 Terms

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Mathematical Proof
A logical and structured argument that shows that a mathematical statement (or conjecture) is always true.
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Theorem
A statement that has been proven to be true.
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Conjecture
A statement that has yet to be proven.
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Proof by Deduction
Starting from known facts or definitions and using logical steps to reach a desired conclusion.
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Even number
Any integer that is exactly divisible by 2.
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Odd number
An integer that is not divisible by 2.
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Identity
An equation that holds true for all values of the variable.
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Proof by Exhaustion
A method of proof that involves breaking a statement into smaller cases and proving each case separately.
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Counter-example
An example that demonstrates that a statement is false.
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Algebraic Manipulation
The process of rearranging or simplifying algebraic expressions to show equality or to solve equations.