Proofs: Direct and Indirect Methods

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This lecture covers examples of direct and indirect proofs, including theorems on even and odd integers, the sum of rational numbers, and proof by contraposition. It also explores proof by contradiction and cases, with examples illustrating these methods.

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Logic

Classical logic: First-order logic

Related lectures (28)

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In course

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Nulla et officia esse aliqua mollit adipisicing. Ex proident ea adipisicing est in eu labore. Laborum nisi nulla incididunt aliquip.

Instructor

eu culpa

Ontological neighbourhood

Logic

Classical logic: First-order logic

Related lectures (28)

Proofs: Logic, Mathematics & Algorithms

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

Proof Techniques: Examples

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

Concept of Proof in Mathematics

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

Proofs: Contraposition vs. Contradiction

Covers the concepts of contraposition and contradiction in proofs.

Elementary Algebra: Numeric Sets

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