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You cannot demonstrate an emotion or prove an aspiration.

 

John Morley

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...when we wish to demonstrate a general theorem, we must give the rule as applied to a particular case; but if we wish to demonstrate a particular case, we must begin with the general rule. For we always find the thing obscure which we wish to prove, and that clear which we use for the proof; for, when a thing is put forward to be proved, we first fill ourselves with the imagination that it is therefore obscure, and on the contrary that what is to prove it, is clear, and so we understand it easily. 40

 

Blaise Pascal

 

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

 

Rules for Demonstrations. I. Not to undertake to demonstrate any thing that is so evident of itself that nothing can be given that is clearer to prove it. II. To prove all propositions at all obscure, and to employ in their proof only very evident maxims or propositions already admitted or demonstrated. III. To always mentally substitute definitions in the place of things defined, in order not to be misled by the ambiguity of terms which have been restricted by definitions.

 

Blaise Pascal

 

As the peculiar faculty of the eye is to see form and colour, and of the ear to hear sweet tones and voices, so is aspiration peculiar to the soul. To relax from ceaseless aspiration is sin. This energy of aspiration directed to and grasping God, as far as is possible for the creature, is called Hope, which is also a divine virtue. Through this faculty the soul acquires such great confidence that she deems nothing in the Divine Nature beyond her reach.

 

Meister Eckhart

 

The most beautiful emotion we can experience is the mysterious. It is the fundamental emotion that stands at the cradle of all true art and science. He to whom this emotion is a stranger, who can no longer wonder and stand rapt in awe, is as good as dead, a snuffed-out candle.

 

Albert Einstein