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You well know ... for which reason I began searching for a number of demonstrations proving a statement due to the ancient Greeks ... and which passion I felt for the subject ... so that you reproached me my preoccupation with these chapters of geometry, not knowing the true essence of these subjects, which consists precisely in going in each matter beyond what is necessary. ... Whatever way he [the geometer] may go, through exercise will he be lifted from the physical to the divine teachings, which are little accessible because of the difficulty to understand their meaning ... and because the circumstance that not everybody is able to have a conception of them, especially not the one who turns away from the art of demonstration.
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Book on the Finding of Chords

 

Abu-Rayhan Biruni

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If the problem is to calculate where there is more truth, whether on the side of the person who only objectively seeks the true God and the approximating truth of the God-idea or on the side of the person who is infinitely concerned that he in truth relate himself to God with the infinite passion of need-then there can be no doubt about the answer for anyone who is not totally botched by scholarship and science. If someone who lives in the midst of Christianity enters, with knowledge of the true idea of God, the house of the true God, and prays, but prays in untruth, and if someone who lives in an idolatrous land but prays with all the passion of infinity, although his eyes are resting upon the image of an idol-where, then, is there more truth? One can pray in truth to God although he is worshiping an idol; another can pray in untruth to the true God and is therefore in truth worshiping an idol. ... Let us take Socrates. These days everyone is dabbling in a few proofs or demonstrations-one has many, another fewer. But Socrates! He poses the question objectively, problematically; if there is an immortality. So, compared with one of the modern thinkers with the three demonstrations, was he a doubter? Not at all. He stakes his whole life on this “if”; he dares to die, and with the passion of the infinite he has so ordered his whole life that it might be acceptable-if there is an immortality. Is there any better demonstration for the immortality of the soul? But those who have the three demonstrations do not order their lives accordingly. If there is an immortality, it must be nauseated by their way of living-is there any better counterdemonstration to the three demonstrations? The “fragment” of uncertainty helped Socrates, because he himself helped with the passion of infinity.

 

Soren Aabye Kierkegaard

 

I think the first thing that led me toward philosophy (though at that time the word 'philosophy' was still unknown to me) occurred at the age of eleven. My childhood was mainly solitary as my only brother was seven years older than I was. No doubt as a result of much solitude I became rather solemn, with a great deal of time for thinking but not much knowledge for my thoughtfulness to exercise itself upon. I had, though I was not yet aware of it, the pleasure in demonstrations which is typical of the mathematical mind. After I grew up I found others who felt as I did on this matter. My friend G. H. Hardy, who was professor of pure mathematics, enjoyed this pleasure in a very high degree. He told me once that if he could find a proof that I was going to die in five minutes he would of course be sorry to lose me, but this sorrow would be quite outweighed by pleasure in the proof. I entirely sympathized with him and was not at all offended. Before I began the study of geometry somebody had told me that it proved things and this caused me to feel delight when my brother said he would teach it to me. Geometry in those days was still 'Euclid.' My brother began at the beginning with the definitions. These I accepted readily enough. But he came next to the axioms. 'These,' he said, 'can't be proved, but they have to be assumed before the rest can be proved.' At these words my hopes crumbled. I had thought it would be wonderful to find something that one could prove, and then it turned out that this could only be done by means of assumptions of which there was no proof. I looked at my brother with a sort of indignation and said: 'But why should I admit these things if they can't be proved?' He replied, 'Well, if you won't, we can't go on.'

 

Bertrand Russell

 

No matter who you are, engaging in the quest to discover where and how things began tends to induce emotional fervor—as if knowing the beginning bestows upon you some form of fellowship with, or perhaps governance over, all that comes later. So what is true for life itself is no less true for the universe: knowing where you came from is no less important than knowing where you are going.

 

Neil deGrasse Tyson

 

People usually think that progress consists in the increase of knowledge, in the improvement of life, but that isn't so. Progress consists only in the greater clarification of answers to the basic questions of life. The truth is always accessible to a man. It can't be otherwise, because a man's soul is a divine spark, the truth itself. It's only a matter of removing from this divine spark (the truth) everything that obscures it. Progress consists, not in the increase of truth, but in freeing it from its wrappings. The truth is obtained like gold, not by letting it grow bigger, but by washing off from it everything that isn't gold.

 

Leo Tolstoy

 

(in the Italian Renaissance) there was no ‘subject-matter’. What we call subject matter now, was then painting itself. Subject matter came later on when parts of those works were taken out arbitrarily, when a man for no reason is sitting, standing or ling down. He became a bather, she became a bather; she was reclining; het just stood there looking ahead. That is when the posing in panting began... For really, when you think of all the life and death problems in the art of Renaissance, who cares if a Chevalier is laughing or that a young girl has a red blouse on.

 

Willem de Kooning