All evil is good become cancerous.

It may be appropriate to quote a statement of Poincare, who said (partly in jest no doubt) that there must be something mysterious about the normal law since mathematicians think it is a law of nature whereas physicists are convinced that it is a mathematical theorem.

Well, sir to say that when the impossible has been eliminated, whatever remains, however improbable, is the truth, is to make the assumption, usually justified, that everything that is to be considered has indeed been considered. Let us suppose we have considered ten factors. Nine are clearly impossible. Is the tenth, however improbable, therefore true? What if there were an eleventh factor, and a twelfth, & a thirteenth...

Heresy would like to think of itself as 'invented Truth'. But of course, all Reason and Logic would agree that no man can ever create Truth; he can only discover it. If heresy were ever at all beneficial, God would use it really to bring one right back to Truth, as countless 'inventions' have brought men to discovery.

Mathematics is one of the major modern mysteries. Perhaps it is the leading one, occupying a place in our society similar to the religious mysteries of another age. If we want to know something about what our age is all about, we should have some understanding of what mathematics is, and of how the mathematician operates and thinks.

All roads lead to Trantor, and that is where all stars end.