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7917Example: Examples of Valid Logical Reasoning

In the following, we will introduce some most important types of valid logical arguments. While introducing them, we will also mathematically prove that they are indeed valid. You will learn the techniques of the following types of valid logical arguments:

Feel free to use these techniques, not only when writing mathematical proofs, but also in daily life, e.g. when trying to convince your audience or discussion partners.

| | | | Contributors: bookofproofs | References: [6823]

79351.Deductive Reasoning

79182.Lemma: Modus Ponens

79193.Lemma: Modus Tollens

79214.Lemma: Hypothetical Syllogism

79205.Lemma: Disjunctive Syllogism

7446.Lemma: The Proving Principle by Contradiction

13307.Lemma: The Proving Principle By Contraposition, Contrapositive

6578.Lemma: The Proving Principle of Complete Induction

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Bibliography (further reading)

[6823] Kane, Jonathan: “Writing Proofs in Analysis”, Springer, 2016

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