"But life cannot maintain itself alone. The Creator of life has entrusted us with the responsibility of preserving, developing, and perfecting it. In order that we may accomplish this, He has provided us with a collection of marvelous faculties. And He has put us in the midst of a variety of natural resources. By the application of our faculties to these natural resources we convert them into products, and use them. The process is necessary in order that life may run its appointed course."

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We come finally, however, to the relation of the ideal theory to real world, or "real" probability. If he is consistent a man of the mathematical school washes his hands of applications. To someone who wants them he would say that the ideal system runs parallel to the usual theory: "If this is what you want, try it: it is not my business to justify application of the system; that can only be done by philosophizing; I am a mathematician". In practice he is apt to say: "try this; if it works that will justify it".

— John Edensor Littlewood