A set is a Many that allows itself to be thought of as a One. Georg Cantor More Quotes by Georg Cantor More Quotes From Georg Cantor The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers. Georg Cantor irrational-numbers mathematics fall I realize that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers. Georg Cantor opinion views numbers Mathematics, in the development of its ideas, has only to take account of the immanent reality of its concepts and has absolutely no obligation to examine their transient reality. Georg Cantor development reality ideas What I assert and believe to have demonstrated in this and earlier works is that following the finite there is a transfinite (which one could also call the supra-finite), that is an unbounded ascending lader of definite modes, which by their nature are not finite but infinite, but which just like the finite can be determined by well-defined and distinguishable numbers. Georg Cantor finite-number numbers believe Use Campaign link tagging labels all for specifying slight differences in content for split testing. Georg Cantor labels campaigns differences Had Mittag-Leffler had his way, I should have to wait until the year 1984, which to me seemed too great a demand! Georg Cantor should-have waiting years The essence of mathematics lies in its freedom. Georg Cantor lies mathematics freedom essence I realise that in this undertaking I place myself in a certain opposition to views widely held concerning the mathematical infinite and to opinions frequently defended on the nature of numbers. Georg Cantor place myself nature numbers
