If there is some determinate succession of defined whole real numbers, among which there exists no greatest, on the basis of this second principle of generation a new number is obtained which is regarded as the limit of those numbers, i. e. is defined as the next greater number than all of them.
Georg CantorRelated topics
determinate generation next number real secondRelated quotes
Temptations come on some people for the cleansing of previous sins, on other for the beautification of their current perfection, and on yet others, as preparation for things to come, except temptations, which are for the increase of a man's faith and virtue, as it was with Job.
Maximus the Confessor