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Lecture
Introduction to Proofs
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Related lectures (29)
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Introduction to Proofs
Introduces informal proofs and their practical applications in computer science and mathematics, emphasizing the importance of proving theorems through direct and indirect methods.
Proofs: Logic, Mathematics & Algorithms
Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.
Proofs: Direct and Indirect Methods
Covers examples of direct and indirect proofs in mathematics.
Concept of Proof in Mathematics
Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.
Propositions and Proofs
Explores propositions, proofs, and contraposition in mathematical theory, emphasizing logical rules and proof methods.
Proof Techniques: Examples
Covers proof techniques including direct proof, contraposition, contradiction, cases, and counterexample.
Recurrence: Induction
Covers the principle of induction for natural numbers and the importance of caution in its application.
Proofs: Rules and Applications
Explores rules of inference, quantified statements, and proof methods in logic and mathematics.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Proofs: Contraposition vs. Contradiction
Covers the concepts of contraposition and contradiction in proofs.
