Proofs: Contraposition vs. Contradiction

Related lectures (28)

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Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Covers examples of direct and indirect proofs in mathematics.

Introduces Cartesian product and induction for proofs using integers and sets.

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Covers proof techniques including direct proof, contraposition, contradiction, cases, and counterexample.

Covers the properties of real numbers, including bounds, density, and absolute value.

Explores even squares, irrationality of √2, gaps in rational numbers, and minorants in Q.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.