Aula 02 - O Hotel de Hilbert

Cardinality of Sets Professor Maurício Carvalho Hilbert's Hotel: Hilbert owns a hotel with an infinite number of rooms, all occupied, but he believes he can accommodate new guests. Hilbert's Hotel illustrates how our intuition can fail when dealing with infinite sets. Access more video lessons and all the material from the Mathematics Portal at http://matematica.obmep.org.br The rights to all material on this channel belong to the Institute of Pure and Applied Mathematics, and the total or partial use of the content is prohibited without prior written authorization from the aforementioned holder, except in the cases provided for in current legislation. The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the aforementioned holder, except in the cases prescribed in the current legislation.