For a more intuitive explanation and history of transfinite cardinals and a cognitive analysis of their development, see writings by Rafael Nunez, including the

For a more intuitive explanation and history of transfinite cardinals and a cognitive analysis of their development, see writings by Rafael Nunez, including these two papers: http://www.cogsci.ucsd.edu/~nunez/web/SingaporeF.pdf http://www.cogsci.ucsd.edu/~nunez/web/SingaporeF.pdf http://www.cogsci.ucsd.edu/~nunez/web/TransfinitePrgmtcs.pdf http://www.cogsci.ucsd.edu/~nunez/web/TransfinitePrgmtcs.pdf