Kant said
quote:
Reason is an active principle which ought not to borrow anything from mere authority of others - nay, not even from experience, in cases where the pure use of reason is concerned. But the indolence of very many persons makes them prefer to tread in the footsteps of others rather than to exert their own understandings. (252) Such persons can never be anything but copies of others, and if all men were of this sort the world would for ever remain in one and the same place. It is, therefore, highly necessary and important not to confine the young, as is commonly done, to mere imitation.
Introduction to Logic by Immanuel Kant 1963 Philosophical Library New York
I just am not at peace yet with Russell's
quote:
We have not succeeded in proving that any progression or regression in u has a limit, because we do not know an example of a compact series of which no term is not a principal element (in the language of Cantor).
page 38 "The logic of relations" in Logic and Knowledge edited by Marsh 1956-1971.
I can not say what is the limit in the use of Kant's Transcendental Doctrine of Method in Russell's sphere of thought but that he did not use Cantor's defintions as far as I am trying to biogeometrize that much is triangularly philosophical to me. It is a prejudice of somesort however. I never could have reached these statements by imitating what was attempted in higher education at Cornell. The web shows when the place has moved on.