Bagaria, JoanGallart Rodríguez, Curial2020-10-222020-10-222020-10https://hdl.handle.net/2445/171396Treballs Finals del Màster de Lògica Pura i Aplicada, Facultat de Filosofia, Universitat de Barcelona, Curs: 2019-2020, Tutor: Joan Bagaria PigrauThe main goal of this master’s thesis is to give a detailed description of the major ZFC advances in cardinal arithmetic from Silver’s Theorem to Shelah’s pcf theory and his bound on 2אω. In our attempt to make this thesis as self-contained as possible, we have devoted the first chapter to review the most elementary concepts of set theory, which include all the classical results from the first period of developement of cardinal arithmetic, from 1870 to 1930, due to Cantor, Hausdorff, König, and Tarski.106 p.application/pdfengcc-by-nc-nd (c) Gallart Rodríguez, 2020http://creativecommons.org/licenses/by-nc-nd/3.0/es/Lògica matemàticaTeoria de conjuntsNombres cardinalsTreballs de fi de màsterMathematical logicSet theoryCardinal numbersMaster's thesesinfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccess