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The truth is that the phenomena of artistic production are still so obscure, so baffling, we are still so far from an accurate scientific and psychological knowledge of their genesis or meaning, that we are forced to accept them as empirical facts; and empirical and non-explanatory names are the names that suit them best. The complete explanation of any fact is the very last step in human thought; and it is reached, as I have said, if indeed it is ever reached, by the preliminary processes of recognition, designation, and definition. It is with these preliminary processes that our aesthetic criticism is still occupied.
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"Four Romantic Words" in Words and Idioms : Studies in the English Language (1925), § VI

 

Logan Pearsall Smith

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The spark within is akin to the Divine Ground. By identifying ourselves with the first we can come to unitive knowledge of the second. These empirical facts of the spiritual life have been variously rationalized in terms of the theologies of the various religions. The Hindus categorically affirm that Thou art That — that the indwelling Atman is the same as Brahman. For orthodox Christianity there is not an identity between the spark and God. Union of the human spirit with God takes place — union so complete that the word deification is applied to it; but it is not the union of identical substances. According to Christian theology, the saint is “deified,” not because Atman is Brahman, but because God has assimilated the purified human spirit in to the divine substance by an act of grace. Islamic theology seems to make a similar distinction. The Sufi, Mansur, was executed for giving to the words “union” and “deification” the literal meaning which they bear in the Hindu tradition. For our present purposes, however, the significant fact is that these words are actually used by Christians and Mohammedans to describe the empirical facts of metaphysical realization by means of direct, super-rational intuition.

 

Aldous Huxley

 

Many people think that the progress of the human race is based on experiences of an empirical, critical nature, but I say that true knowledge is to be had only through a philosophy of deduction. For it is intuition that improves the world, not just following a trodden path of thought. Intuition makes us look at unrelated facts and then think about them until they can all be brought under one law. To look for related facts means holding onto what one has instead of searching for new facts. Intuition is the father of new knowledge, while empiricism is nothing but an accumulation of old knowledge. Intuition, not intellect, is the 'open sesame' of yourself.

 

Albert Einstein

 

Since religion intrinsically rejects empirical methods, there should never be any attempt to reconcile scientific theories with religion. An infinitely old universe, always evolving, may not be compatible with the Book of Genesis. However, religions such as Buddhism get along without having any explicit creation mythology and are in no way contradicted by a universe without a beginning or end. Creatio ex nihilo, even as religious doctrine, only dates to around AD 200. The key is not to confuse myth and empirical results, or religion and science.

 

Hannes Alfven

 

I think that it is a relatively good approximation to truth — which is much too complicated to allow anything but approximations — that mathematical ideas originate in empirics. But, once they are conceived, the subject begins to live a peculiar life of its own and is ... governed by almost entirely aesthetical motivations. In other words, at a great distance from its empirical source, or after much "abstract" inbreeding, a mathematical subject is in danger of degeneration. Whenever this stage is reached the only remedy seems to me to be the rejuvenating return to the source: the reinjection of more or less directly empirical ideas.

 

John von Neumann

 

As we advance we find more and more frequently that we can in fact ascertain only some but not all the particular circumstances which determine the outcome of a given process; and in consequence we are able to predict only some but not all the properties of the result we have to expect. Often all that we shall be able to predict will be some abstract characteristic of the pattern that will appear — relations between kinds of elements about which individually we know very little. Yet, as I am anxious to repeat, we will still achieve predictions which can be falsified and which therefore are of empirical significance.
Of course, compared with the precise predictions we have learnt to expect in the physical sciences, this sort of mere pattern predictions is a second best with which one does not like to have to be content. Yet the danger of which I want to warn is precisely the belief that in order to have a claim to be accepted as scientific it is necessary to achieve more. This way lies charlatanism and worse. To act on the belief that we possess the knowledge and the power which enable us to shape the processes of society entirely to our liking, knowledge which in fact we do not possess, is likely to make us do much harm.

 

Friedrich Hayek