Font Llovet, Josep MariaIglesias Pellejero, Enric2014-02-072014-02-072013-01-20https://hdl.handle.net/2445/49485Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2013, Director: Josep Maria Font LlovetThe goal of this work is to make a systematic exposition of the arithmetic of ordinal numbers, in a way that allows to reach a complete proof of the surprising result obtained by Goodstein (1944) on certain sequences of natural numbers that grow extremely quickly.82 p.application/pdfcatcc-by-nc-nd (c) Enric Iglesias i Pellejero, 2013http://creativecommons.org/licenses/by-nc-nd/3.0/esAritmèticaTreballs de fi de grauNombres ordinalsArithmeticBachelor's thesesOrdinal numbersinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess