After infinity

Lecturer: Xingqiang Chen

Date: 18/01/2017

Time: 17:00

Place: Room 103

Abstract: What does infinite mean? Have you ever seen something infinite? Do you think infinity exists outside of mathematics? How many types of infinity are there? Can we compare the sizes of different infinities?

It turns out that there is not a single kind of infinite, but an infinity of them! One of the most common sets of infinite is the set of the naturals. But, do you know if there is some set bigger or smaller than it? The reals? And something bigger than that one? Or something between them? In this talk we will explore this questions and others, to try to understand as much as possible about the notion of infinity.

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Bibliography

  • J. Ferreiros. Fundamentos para una teoría general de conjuntos.
  • J. Breuer. Introducción a la teoría de conjuntos
  • A. Huertas, M. Manzano. Teoría de conjuntos
  • J. Sevilla. Equinumerability

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