Bernhard Riemann Quotes
Nevertheless, it remains conceivable that the measure relations of space in the infinitely small are not in accordance with the assumptions of our geometry Euclidean geometry, and, in fact, we should have to assume that they are not if, by doing so, we should ever be enabled to explain phenomena in a more simple way.

Quotes to Explore
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Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.
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Having our fundamental assumptions about life challenged is never a comfortable thing.
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I think we often live at a surface level, and that ends up with us in a lot of difficulty because we just function on assumptions and secondhand knowledge.
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Our choice of a reform framework dictated that we looked at the fundamental assumptions that had driven Nigeria's economy, society and policy hitherto and to seek ways of either abandoning or transcending those assumptions and their supporting institutions.
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Study the assumptions behind your actions. Then study the assumptions behind your assumptions.
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I think that President [Dwight] Eisenhower was... did the most marvelous job in the war, not really a military job: a public relations job, and it was essential that there should be a public relations job done in the post that he had.
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I think it’s the right moment to talk about it because it is part of a revolutionary perspective - how can we not only discover more compassionate relations with human beings but how can we develop compassionate relations with the other creatures with whom we share this planet and that would mean challenging the whole capitalist industrial form of food production.
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What is abnormal in Life stands in normal relations to Art. It is the only thing in Life that stands in normal relations to Art.
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He was a hero to his valet, who bullied him, and a terror to most of his relations, whom he bullied in turn. Only England could have produced him, and he always said that the country was going to the dogs. His principles were out of date, but there was a good deal to be said for his prejudices.
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Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.
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Regarding relations with the European Union, all the declarations of the election campaign have been positive.
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No more talking of the problems between us. Transatlantic relations are in a good period. The patient is the rest of the world. Global problems would be in a better state if we co-operate.
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Geometry will draw the soul toward truth and create the spirit of philosophy.
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Geometry existed before creation.
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Let no-one ignorant of geometry enter. Said to have been inscribed above the door of Plato's Academy.
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Where there is matter, there is geometry.
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Geometry, which before the origin of things was coeternal with the divine mind and is God himself (for what could there be in God which would not be God himself?), supplied God with patterns for the creation of the world, and passed over to Man along with the image of God; and was not in fact taken in through the eyes.
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That wee have of Geometry, which is the mother of all Naturall Science, wee are not indebted for it to the Schools.
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it will be a good long time before there's upward pressure on prices or wages.
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Be master of your petty annoyances and conserve your energies for the big, worthwhile things. It isn't the mountain ahead that wears you out - it's the grain of sand in your shoe.
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Lighting was very primitive. And still it was really the way to learn because sometimes some of the modern technology is so extreme and so compartmentalized that we lose sight of exactly what we're doing.
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I would love to work with Jack White or Kanye West.
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Nevertheless, it remains conceivable that the measure relations of space in the infinitely small are not in accordance with the assumptions of our geometry Euclidean geometry, and, in fact, we should have to assume that they are not if, by doing so, we should ever be enabled to explain phenomena in a more simple way.