Proof by contradiction is a form of proof that establishes the truth or validity of a proposition by showing that assuming it to be false leads to a contradiction. It is used in mathematical proofs and more broadly as an argument that arrives at a contradiction when the initial assumption is not the negation of the statement to be proved. Existence proofs are a special case of this, demonstrating the existence of an object with a given property by deriving a contradiction from the assumption that all objects satisfy the negation of the property.
Stanford University
Winter 2023
CS 103 introduces mathematical logic, proofs, and discrete structures, paving the way to an understanding of computational problem-solving. It encourages a profound appreciation of mathematical beauty while addressing concepts like finite automata and regular expressions. CS106B is a prerequisite or corequisite. The course also incorporates programming assignments.
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