Lecture

Relations, Sequences and Summations

In course

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Description

This lecture covers the definition of strings as finite sequences of characters, telescoping proofs, lexicographic ordering on strings, countable sets, cardinality, and the concept of countability. It also explores the countability of positive even integers, integers, and rational numbers, as well as the countability of powersets. The lecture concludes with a discussion on uncountable sets and Cantor diagonalization.

Official source

https://mediaspace.epfl.ch/media/0_km1eq36a

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Ontological neighbourhood

Mathematics

Mathematical logic: Set theory

Topology: General topology

Analysis: Topics in analysis

Logic

Classical logic: First-order logic

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