Real Numbers: Axioms and Bounds

In course

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Description

This lecture covers the organization of real numbers, including the proof that the equation x²=2 has no solution in rational numbers, the three axioms of real numbers, upper and lower bounds, infimum, and supremum. It also discusses the properties of rational numbers and the concept of supremum in detail.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_obf1lx1u

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Ontological neighbourhood

Mathematics

Analysis: Topics in analysis

Topology: General topology

Logic

Classical logic: First-order logic

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