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.

Bernhard Riemann

• Relations
• Geometry
• Assumptions
• Phemonema

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Quotes to Explore

• Euclid taught me that without assumptions there is no proof. Therefore, in any argument, examine the assumptions.

  

  E. T. Bell
  • Argument
  • Taught
  • Proof

• Having our fundamental assumptions about life challenged is never a comfortable thing.

  

  Maajid Nawaz
  • Life
  • Never
  • Assumptions

• 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.

  

  Samantha Harvey
  • Up
  • Live
  • Knowledge

• 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.

  

  Ibrahim Babangida
  • Society
  • Choice
  • Assumptions

• Study the assumptions behind your actions. Then study the assumptions behind your assumptions.

  

  Idries Shah
  • Study
  • Actions
  • Behind

• 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.

  

  Malcolm Muggeridge
  • Done
  • Job
  • War

• 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.

  

  Angela Davis
  • Food
  • Perspective
  • Relations

• 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.

  

  Oscar Wilde
  • Life
  • Art
  • Normal

• 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.

  

  Oscar Wilde
  • Hero
  • Principles
  • Terror

• 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.

  

  Benoit Mandelbrot
  • Nature
  • Special
  • Complicated

• Regarding relations with the European Union, all the declarations of the election campaign have been positive.

  

  Javier Solana
  • Relations
  • European Union
  • Election Campaign

• 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.

  

  Javier Solana
  • Problems
  • Relations
  • Good Period

• Geometry will draw the soul toward truth and create the spirit of philosophy.

  

  Plato
  • Soul
  • Philosophy
  • Geometry

• Geometry existed before creation.

  

  Plato
  • Creation
  • Geometry
  • Existed

• Let no-one ignorant of geometry enter. Said to have been inscribed above the door of Plato's Academy.

  

  Plato
  • Geometry
  • Academy
  • Inscribed

• Where there is matter, there is geometry.

  

  Johannes Kepler
  • Matter
  • Geometry

• 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.

  

  Johannes Kepler
  • Things
  • Geometry
  • Origin

• That wee have of Geometry, which is the mother of all Naturall Science, wee are not indebted for it to the Schools.

  

  Thomas Hobbes
  • Schools
  • Geometry
  • Naturall Science

• The eye observes only what the mind, the heart, and the imagination are gifted to see; and sight must be reinforced by insight before souls can be discerned as well as manners, ideas as well as objects, realities and relations as well as appearances and accidental connections.

  

  Edwin Percy Whipple
  • Imagination
  • Souls
  • Connections

• Your chances of winning the Powerball lottery are far better than finding a hash collision. After all, lotteries often have actual winners. The probability of a hash collision is more like a lottery that has been running since prehistoric times and has never had a winner and will probably not have a winner for billions of years.

  

  Eric Sink
  • Running
  • Winning
  • Chances

• 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.

  

  Bernhard Riemann
  • Relations
  • Geometry
  • Assumptions