Tag: proof techniques

Weak Mathematical Induction

Weak induction proves a statement for natural numbers by assuming it's true…

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Strong Mathematical Induction

Strong induction strengthens the inductive hypothesis, allowing the assumption that the proposition…

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Proof by Cases

A method of mathematical proof where a statement is divided into several…

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Inductive Step in Mathematical Induction

The inductive step of a proof by induction demonstrates that if a…

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Induction on Well-Formed Formulas

A formal logic and mathematics proof technique. It verifies properties for basic…

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Indirect Proof

An indirect proof, also known as proof by contradiction, involves assuming the…

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Contraposition in Logic

Contraposition is a logical principle establishing the equivalence between a conditional statement…

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Basis Step in Mathematical Induction

The basis step, or base case, is the foundational element of a…

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