Logic and proof methods

Part 1 · Logic · 2 chapters

Propositions and quantifiers, implications, proof techniques, mathematical induction.

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• Lecture notes, volume 1 (PDF)
• Exercises, volume 1 (PDF)
• Slides by chapter: 1 · 2

• 1. Basics of logic and proof techniques

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  Logical symbols · Universal implications and proofs · Law of contraposition · Sufficient conditions and necessary conditions · …

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• 2. Principle of mathematical induction

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  The principle of mathematical induction · Proofs based on the principle of mathematical induction

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