The smallest units of matter are not physical objects in the ordinary sense; they are forms, ideas which can be expressed unambiguously only in mathematical language.
The idea that the mind is international and supra-national, that it ought to serve not war and annihilation, but peace and reconciliation.
The idea of beetles came into my head. I decided to spell it BEATles to make it look like beat music, just a joke.
Pure mathematics is, in its way, the poetry of logical ideas.[Die reine Mathematik ist auf ihre Art die Poesie logischer Gedanken.]
Now there can be no two opinions as to what a highbrow is. He is the man or woman of thoroughbred intelligence who rides his mind at a gallop across country in pursuit of an idea.
Nearly every man who develops an idea works it up to the point where it looks impossible, and then he gets discouraged. That’s not the place to become discouraged.
Most of the fundamental ideas of science are essentially simple, and may, as a rule, be expressed in a language comprehensible to everyone.
Knowledge of the Idea of the absolute ethical order depends entirely on the establishment of perfect adequacy between intuition and concept, because the Idea itself is nothing other than the identity of the two. But if this identity is to be actually known, it must be thought as a made adequacy.