The ultimate goal of mathematics is to eliminate any need for intelligent thought.

Some philosophers fail to distinguish propositions from judgments; … But in the real world it is more important that a proposition be interesting than that it be true. The importance of truth is that it adds to interest.

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Get your knowledge quickly and then use it. If you can use it you will retain it.

The safest general characterization of the European philosophical tradition is that it consists of a series of footnotes to Plato.

The power of God is the worship He inspires.[…] The worship of God is not a rule of safety — it is an adventure of the spirit, a flight after the unattainable. The death of religion comes with the repression of the high hope of adventure.

There is finitude — unless this were true, infinity would have no meaning. The contrast of finitude and infinity arises from the fundamental metaphysical truth that every entity involves an indefinite array of perspectives, each perspective expressing a finite characteristic of that entity. But any one finite perspective does not enable an entity to shake off its essential connection with totality. The infinite background always remains as the unanalysed reason why that finite perspective of that entity has the special character that it does have. Any analysis

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Nothing is more impressive than the fact that as mathematics withdrew increasingly into the upper regions of ever greater extremes of abstract thought, it returned back to earth with a corresponding growth of importance for the analysis of concrete fact. ...The paradox is now fully established that the utmost abstractions are the true weapons with which to control our thought of concrete fact.

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Not ignorance, but ignorance of ignorance is the death of knowledge.

Great dreamers' dreams are never fulfilled, they are always transcended.

The essence of education is that it be religious. Pray, what is religious education? A religious education is an education which inculcates duty and reverence. Duty arises from our potential control over the course of events. Where attainable knowledge could have changed the issue, ignorance has the guilt of vice. And the foundation of reverence is this perception, that the present holds within itself the complete sum of existence, backwards and forwards, that whole amplitude of time, which is eternity.

No period of history has ever been great or ever can be that does not act on some sort of high, idealistic motives, and idealism in our time has been shoved aside, and we are paying the penalty for it.

It will be evident to you that I am here controverting the most cherished tradition of modern philosophy, shared alike by the school of empiricists which derives from Hume, and the school of transcendental idealists which derives from Kant.

In the conditions of modern life the rule is absolute, the race which does not value trained intelligence is doomed.

Epochs do not rise from the dead.… [W]hereas you can make a replica of an ancient statue, there is no possible replica of an ancient state of mind. There can be no nearer approximation than that which a masquerade bears to real life. There may be understanding of the past, but there is a difference between the modern and the ancient reactions to the same stimuli.

The chief danger to philosophy is narrowness in the selection of evidence.