Titlebook: An Introduction to the Language of Mathematics; Frédéric Mynard Textbook 2018 Springer Nature Switzerland AG 2018 propositional logic.set

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Springer Nature Switzerland AG 2018

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On Proofs and Writing Mathematics,nd elementary number theory, basic set-theory, and more. We go over direct proofs, proofs by contraposition, proofs by contradiction, the role of counterexamples, proof by induction including arguments using the well-ordering principle and smallest counterexamples. We conclude with remarks on writing mathematics.

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Cardinality,d study infinite cardinalities and their surprising properties. In particular, we establish that there is an infinite increasing sequence of infinite cardinalities! We conclude with a brief and elementary discussion of issues of independence with the usual axioms, and of consistency.

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Rolle bei der Informationsstrukturierung,nd elementary number theory, basic set-theory, and more. We go over direct proofs, proofs by contraposition, proofs by contradiction, the role of counterexamples, proof by induction including arguments using the well-ordering principle and smallest counterexamples. We conclude with remarks on writing mathematics.

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