Lecture

Operations on Sets: Parts, Intersection, and Difference

In course

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Description

This lecture covers operations on sets, including defining the set of parts of a set, the intersection of sets, and the difference between sets. It also explores the Cartesian product of sets, emphasizing the importance of order in pairs and generalizing the Cartesian product for more than two sets. The lecture delves into functions, explaining the concepts of domain, codomain, image, pre-image, and sets of images. It discusses the relationship between functions being injective, surjective, or bijective, with examples illustrating these concepts.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_ar1wiabc

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Ontological neighbourhood

Mathematics

Mathematical logic: Set theory

Algebra: Abstract algebra

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