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"One of the best ways to sharpen your brain, and to develop intelligence, is to study mathematics. It challenges and strengthens your mind in a way that very few other things do. It’s like going to the gym -- but for your brain!"
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Mathematics"Mathematicians do not study objects, but the relations between objects; to them it is a matter of indifference if these objects are replaced by others, provided that the relations do not change. Matter does not engage their attention, they are interested in form alone."
Mathematics is a field of study that discovers and organizes methods, theories, and theorems that are developed and proved either in response to the needs of empirical sciences or the needs of mathematics itself. There are many areas of mathematics, including number theory, algebra, geometry, analysis, and set theory.
"One of the best ways to sharpen your brain, and to develop intelligence, is to study mathematics. It challenges and strengthens your mind in a way that very few other things do. It’s like going to the gym -- but for your brain!"
"Euclid alone has looked on Beauty bare."
"The thorough analysis of even simple problems in arithmetic may require the application of advanced mathematics."
"You cannot read mathematics superficially; the inescapable abstraction always has an element of self-torture in it, and the one to whom this self-torture is joy is the mathematician."
"No part of mathematics came to birth in the form that it now appears in a modern textbook: mathematical creativity can be slow, sometimes messy, often frustrating."
"Mathematics in general is fundamentally the science of self-evident things."
"Overtly, I had so-called normal relationships with a number of terrestrial women having pumpkins or pears for breasts; inly, I was consumed by a hell furnace of localized lust for every passing nymphet whom as a law-abiding poltroon I never dared approach. The human females I was allowed to wield were but palliative agents. I am ready to believe that the sensations I derived from natural fornication were much the same as those known to normal big males consorting with their normal big mates in that routine rhythm which shakes the world. The trouble was that those gentlemen had not, and I had, caught glimpses of an incomparably more poignant bliss. The dimmest of my pollutive dreams was a thousand times more dazzling than all the adultery the most virile writer of genius or the most talented impotent might imagine."
"At first when I saw The Sick Child [in his imagination] her pallid face and the vivid red hair against the pillow – I saw something that vanished when I tried to paint it. I ended up with a picture on the canvas which, although I was pleased with it, bore little relationship to what I had seen.. ..In the space of that year [1885 – 1886], scratching it out, just letting the paint flow, endlessly I tried to recapture what I had seen for the first time – the pale transparent skin against the linen sheets, the trembling lips, the shaking hands. I repainted the painting numerous times – scratched it out – let it become blurred in the medium – and tried again and again to catch the first impression – the transparent pale skin against the canvas – the trembling mouth – the trembling hands. I had done the chair [in which his sister Sophie had died] with the glass too often. It distracted me from doing the head. – When I saw the picture I could only make out the glass and the surroundings. – Should I remove it completely? – No, it had the effect of giving depth and emphasis to the head. – I scared off half the background and left everything in masses – one could now see past and across the head and the glass.. .I had achieved much of that first impression, the trembling mouth – the transparent skin – the tired eyes – but the picture was not finished in its colour – it was pale grey – the picture was then heavy as lead. [Munch showed the painting on the Autumn Exhibition 18 October 1886; it was criticized severely, even by his bohemian art-friend Jager]"
"This Conference:... (3) recognises that there are among us persons who experience themselves as having a homosexual orientation. Many of these are members of the Church and are seeking the pastoral care, moral direction of the Church, and Gods transforming power for the living of their lives and the ordering of relationships. We commit ourselves to listen to the experience of homosexual persons and we wish to assure them that they are loved by God and that all baptised, believing and faithful persons, regardless of sexual orientation, are full members of the Body of Christ; (4) while rejecting homosexual practice as incompatible with Scripture, calls on all our people to minister pastorally and sensitively to all irrespective of sexual orientation and to condemn irrational fear of homosexuals"
"These effects of mescalin are the sort of effects you could expect to follow the administration of a drug having the power to impair the efficiency of the cerebral reducing valve. When the brain runs out of sugar, the undernourished ego grows weak, cant be bothered to undertake the necessary chores, and loses all interest in those spatial and temporal relationships which mean so much to an organism bent on getting on in the world. As Mind at Large seeps past the no longer watertight valve, all kinds of biologically useless things start to happen. ... Other persons discover a world of visionary beauty. To others again is revealed the glory, the infinite value and meaningfulness of naked existence, of the given, unconceptualized event."
"This mutual dependencies no longer the dialectical relationship between master and servant, which has been broken in the struggle for mutual recognition, but rather a vicious circle which encloses both the master and the servant. Do the technicians rule, or is their rule that of the others, who rely on the technicians as their planners and executors?"
"Truthfulness under oath is, by now, a matter of our civic religion, our relation to our fellow citizens rather than our relation to a nonhuman power."