Discovery Quotes - page 17
When from a long-distant past nothing subsists, after the people are dead, after the things are broken and scattered, still, alone, more fragile, but with more vitality, more unsubstantial, more persistent, more faithful, the smell and taste of things remain poised a long time, like souls, ready to remind us, waiting and hoping for their moment, amid the ruins of all the rest; and bear unfaltering, in the tiny and almost impalpable drop of their essence, the vast structure of recollection.And once again I had recognized the taste of the crumb of madeleine soaked in her decoction of lime-flowers which my aunt used to give me (although I did not yet know and must long postpone the discovery of why this memory made me so happy), immediately the old gray house upon the street, where her room was, rose up like the scenery of a theater.
Marcel Proust
If it is the drive of our time, after freedom of thought is won, to pursue it to that perfection through which it changes to freedom of the will in order to realize the latter as the principle of a new era, then the final goal of education can no longer be knowledge, but the will born out of knowledge, and the spoken expression of that for which it has to strive is: the personal or free man. Truth consists in nothing other than man's revelation of himself, and thereto belongs the discovery of himself, the liberation from all that is alien, the uttermost abstraction or release from all authority, the re-won naturalness. Such thoroughly true men are not supplied by school; if they are there, they are there in spite of school.
Max Stirner
Mathematics have a triple aim. They must furnish an instrument for the study of nature. But that is not all: they have a philosophic aim and, I dare maintain, an esthetic aim. They must aid the philosopher to fathom the notions of number, of space, of time. And above all, their adepts find therein delights analogous to those given by painting and music. They admire the delicate harmony of numbers and forms; they marvel when a new discovery opens to them an unexpected perspective; and has not the joy they thus feel the esthetic character, even though the senses take no part therein? Only a privileged few are called to enjoy it fully, it is true, but is not this the case for all the noblest arts?
This is why I do not hesitate to say that mathematics deserve to be cultivated for their own sake, and the theories inapplicable to physics as well as the others. Even if the physical aim and the esthetic aim were not united, we ought not to sacrifice either.
Henri Poincaré