In logic, proof by contradiction establishes the truth of a proposition by showing that assuming its falsehood results in a contradiction. This method, also known as indirect proof, is commonly used in mathematical proofs, but is not universally accepted by all mathematical philosophies. The typical approach involves assuming the opposite of the proposition, showing this leads to conflicting assertions, and thus concluding the original proposition is true.
Stanford University
Winter 2020
CS 103A serves as an additional review course for CS103 students, focusing on strengthening proof-based mathematics skills and general problem-solving strategies in a context closely tied to CS103.
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+ 31 more conceptsBrown University
Spring 2023
CSCI 0220 provides a foundation in discrete math and probability theory. Key topics include logic, set theory, number theory, combinatorics, graph theory, and probability. No prior math background assumed. Aims to develop problem solving, communication, and collaboration skills. Introduces new concepts and ways of thinking to enable analyzing problems arising in computer science. Beginner-friendly introduction to core mathematical concepts underlying many aspects of CS.
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