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The strongest arguments prove nothing so long as the conclusions are not verified by experience. Experimental science is the queen of sciences and the goal of all speculation.
--
Opus Tertium M, cited in: James J. Walsch (1911) "Science at the Medieval Universities" in: Popular Science, May 1911, p.449

 

Roger Bacon

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Inner experience, unable to have principles either in dogma (a moral attitude), or in science (knowledge can be neither its goal nor its origin), or in a search of enriching states (an experimental, aesthetic attitude), it cannot have any other concern nor other goal than itself. Opening myself to inner experience, I have placed in it all value and authority. Henceforth I can have no other value, no other authority (in the realm of mind). Value and authority imply the discipline of a method, the existence of a community.
I call experience a voyage to the end of the possible of man. Anyone may choose not to embark on this voyage, but if he does embark on it, this supposes the negation of the authorities, the existing values which limit the possible. By virtue of the fact that it is negation of other values, other authorities, experience, having a positive existence, becomes itself positively value and authority.
Inner experience has always had objectives other than itself in which one invested value and authority. ... If God, knowledge, and suppression of pain were to cease to be in my eyes convincing objectives, ... would inner experience from that moment seem empty to me, henceforth impossible without justification? ...
I received the answer [from Blanchot]: experience itself is authority.

 

Georges Bataille

 

Those who assert that the mathematical sciences say nothing of the beautiful or the good are in error. For these sciences say and prove a great deal about them; if they do not expressly mention them, but prove attributes which are their results or definitions, it is not true that they tell us nothing about them. The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.

 

Aristotle

 

The advance of psychology, of industrial methods, and of the experimental method in science makes another conception of experience explicitly desirable and possible. This theory reinstates the idea of the ancients that experience is primarily practical, not cognitive — a matter of doing and undergoing the consequences of doing. But the ancient theory is transformed by realizing that doing may be directed so as to take up into its own content all which thought suggests, and so as to result in securely tested knowledge. "Experience" then ceases to be empirical and becomes experimental. Reason ceases to be a remote and ideal faculty, and signifies all the resources by which activity is made fruitful in meaning.

 

John Dewey

 

In the experimental sciences, the epochs of the most brilliant progress are almost always separated by long intervals of almost absolute repose.

 

Francois Arago

 

I cannot experience your experience. You cannot experience my experience. We are both invisible men. All men are invisible to one another. Experience used to be called The Soul. Experience as invisibility of man to man is at the same time more evident than anything. Only experience is evident. Experience is the only evidence. Psychology is the logos of experience. Psychology is the structure of the evidence, and hence psychology is the science of sciences.

 

Ronald David Laing