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Concepts Quotes

How then shall mathematical concepts be judged? They shall not be judged. Mathematics is the supreme arbiter. From its decisions there is no appeal. We cannot change the rules of the game, we cannot ascertain whether the game is fair. We can only study the player at his game; not, however, with the detached attitude of a bystander, for we are watching our own minds at play Picture Quote #1

It was a most rewarding experience! I learned and saw how with a few simple ideas and concepts the same presentation can go from being standard and ordinary to interesting and involving Picture Quote #1

I suggest you take a look at yourself. Not the concepts, not the ideas, not the goods, not the bads. But a timeless purity of existence. A witness to the beauty that is Picture Quote #1

Concepts create idols; only wonder comprehends anything. People kill one another over idols. Wonder makes us fall to our knees Picture Quote #1

Concepts differentiate architecture from mere building... A bicycle shed with a concept is architecture; a cathedral without one is just a building Picture Quote #1

The image of the world around us, which we carry in our head, is just a model. Nobody in his head imagines all the world, government or country. He has only selected concepts, and relationships between them, and uses those to represent the real system Picture Quote #1

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Logic leaves us no choice. In that sense, math always involves both invention and discovery: we invent the concepts but discover their consequences. … in mathematics our freedom lies in the questions we ask – and in how we pursue them – but not in the answers awaiting us Picture Quote #1

Most tasks and tests will demand recall of isolated pieces of information, and I will not have to show how concepts and ideas are related or how facts illustrate underlying principles Picture Quote #1

Mathematicians seem to have no difficulty in creating new concepts faster than the old ones become well understood Picture Quote #1

Life is very much about rule breaking, about confrontation. Otherwise history would just stand still. Someone has to come along and break the rules and try for whatever reason to go about things a different way. Even if it is a simple sense of adventure, a sense of exploration. You explore concepts and things that interest you, but you are also exploring inside of yourself Picture Quote #1

When you step into an intersection of fields, disciplines, or cultures, you can combine existing concepts into a large number of extraordinary ideas Picture Quote #1

Humans feel at home in a world of things, whose essences and laws it can grasp and define in terms of concepts; but shy and ill at ease in a world of existences, because to exist is an act, not a thing Picture Quote #1

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If our previous analyses are correct, they all point to the same conclusion, that metaphysical adventures are doomed to fail when their authors substitute the fundamental concepts of any particular science for those of metaphysics Picture Quote #1

The future. Space travel, or cosmology. Alternate universes. Time travel. Robots. Marvelous inventions. Immortality. Catastrophes. Aliens. Superman. Other dimensions. Inner space, or the psyche. These are the ideas that are essential to science fiction. The phenomena change, the basic ideas do not. These ideas are the same philosophical concepts that have intrigued mankind throughout history Picture Quote #1

Just as many smart people fail in the investment business as stupid ones. Intellectually active people are particularly attracted to elegant concepts, which can have the effect of distracting them from the simpler, more fundamental truths Picture Quote #1

A nation lives forever through its concepts, honour, and culture. It is for these reasons that the rulers of nations must judge and act not only on the basis of physical and material interests of the nation but on the basis of the nation’s historical honour, of the nation’s eternal interests. Thus: not bread at all costs, but honour at all costs Picture Quote #1

With our present knowledge, we can respond to the challenge of stellar space flight solely with intellectual concepts and purely hypothetical analysis. Hardware solutions are still entirely beyond our reach and far, far away Picture Quote #1

Imagination guides you in your contacts with individuals and crowds, so you can discover new concepts and approaches Picture Quote #1

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Very often in mathematics the crucial problem is to recognize and discover what are the relevant concepts; once this is accomplished the job may be more than half done Picture Quote #1

I read once about the concepts of a lateral idea and the vertical idea. If you dig a hole and it’s in the wrong place, digging it deeper isn’t going to help. The lateral idea is when you skip over and dig someplace else Picture Quote #1

Science advances, not by the accumulation of new facts, but by the continuos development of new concepts Picture Quote #1

The fundamental concepts of physical science, it is now understood, are abstractions, framed by our mind, so as to bring order to an apparent chaos of phenomena Picture Quote #1

Learning astrology is like learning any foreign language. You already have the ideas, concepts, and experiences of your life within you; you are just learning a new language for what you are already experiencing Picture Quote #1

The chief contribution of such a radically new and more powerful instrument would be, not to supplement our present ideas of the universe we live in, but rather to uncover new phenomena not yet imagined, and perhaps modify profoundly our basic concepts of space and time Picture Quote #1

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In early historical civilization, lunar symbols wove together three major metaphorical concepts. The first is the idea of fertility. The moon controls the tides of both water and blood – the sacred fluids of the early religions. The second is the concept of periodic rebirth, symbolized by the moon’s monthly waning and renewal. The third is the notion of continually repeating cycles of change Picture Quote #1

I mean, every thought starts over, so every expression of a thought has to do the same. every accuracy has to be invented... I feel I am blundering in concepts too fine for me Picture Quote #1

I’m less interested in how people are following each other and more interested in how they are following topics and tweets themselves. People are following more key words and concepts and more ideas and acting on those rather than individuals or organizations Picture Quote #1

I believe that an art exhibition can be engaging, fun and deeply intellectually satisfying and serious. These are not contradictory concepts in art Picture Quote #1

This whole issue of limits to growth, which provides a psychological, as well as a physical, cap on potential expansion of activity and awareness, has had a very depressing effect on many people... I don’t for a moment think that there’s any concept which anyone’s working with now which will be followed as a straightforward scenario. But the idea embodied in concepts such as space colonization or space industrialization, or availability of nonterrestrial resources, is fundamental, and it will change the way in which people look at the future Picture Quote #1

I just have a real problem with people who seek to portray fatness or thinness as moral concepts Picture Quote #1

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How then shall mathematical concepts be judged? They shall not be judged. Mathematics is the supreme arbiter. From its decisions there is no appeal. We cannot change the rules of the game, we cannot ascertain whether the game is fair. We can only study the player at his game; not, however, with the detached attitude of a bystander, for we are watching our own minds at play (Concepts Quotes) It was a most rewarding experience! I learned and saw how with a few simple ideas and concepts the same presentation can go from being standard and ordinary to interesting and involving (Concepts Quotes) I suggest you take a look at yourself. Not the concepts, not the ideas, not the goods, not the bads. But a timeless purity of existence. A witness to the beauty that is (Concepts Quotes) Concepts create idols; only wonder comprehends anything. People kill one another over idols. Wonder makes us fall to our knees (Concepts Quotes) Concepts differentiate architecture from mere building... A bicycle shed with a concept is architecture; a cathedral without one is just a building (Concepts Quotes) The image of the world around us, which we carry in our head, is just a model. Nobody in his head imagines all the world, government or country. He has only selected concepts, and relationships between them, and uses those to represent the real system (Concepts Quotes) Logic leaves us no choice. In that sense, math always involves both invention and discovery: we invent the concepts but discover their consequences. … in mathematics our freedom lies in the questions we ask – and in how we pursue them – but not in the answers awaiting us (Concepts Quotes) Most tasks and tests will demand recall of isolated pieces of information, and I will not have to show how concepts and ideas are related or how facts illustrate underlying principles (Concepts Quotes) Mathematicians seem to have no difficulty in creating new concepts faster than the old ones become well understood (Concepts Quotes) Life is very much about rule breaking, about confrontation. Otherwise history would just stand still. Someone has to come along and break the rules and try for whatever reason to go about things a different way. Even if it is a simple sense of adventure, a sense of exploration. You explore concepts and things that interest you, but you are also exploring inside of yourself (Concepts Quotes) When you step into an intersection of fields, disciplines, or cultures, you can combine existing concepts into a large number of extraordinary ideas (Concepts Quotes) Humans feel at home in a world of things, whose essences and laws it can grasp and define in terms of concepts; but shy and ill at ease in a world of existences, because to exist is an act, not a thing (Concepts Quotes) If our previous analyses are correct, they all point to the same conclusion, that metaphysical adventures are doomed to fail when their authors substitute the fundamental concepts of any particular science for those of metaphysics (Concepts Quotes) The future. Space travel, or cosmology. Alternate universes. Time travel. Robots. Marvelous inventions. Immortality. Catastrophes. Aliens. Superman. Other dimensions. Inner space, or the psyche. These are the ideas that are essential to science fiction. The phenomena change, the basic ideas do not. These ideas are the same philosophical concepts that have intrigued mankind throughout history (Concepts Quotes) Just as many smart people fail in the investment business as stupid ones. Intellectually active people are particularly attracted to elegant concepts, which can have the effect of distracting them from the simpler, more fundamental truths (Concepts Quotes) A nation lives forever through its concepts, honour, and culture. It is for these reasons that the rulers of nations must judge and act not only on the basis of physical and material interests of the nation but on the basis of the nation’s historical honour, of the nation’s eternal interests. Thus: not bread at all costs, but honour at all costs (Concepts Quotes) With our present knowledge, we can respond to the challenge of stellar space flight solely with intellectual concepts and purely hypothetical analysis. Hardware solutions are still entirely beyond our reach and far, far away (Concepts Quotes) Imagination guides you in your contacts with individuals and crowds, so you can discover new concepts and approaches (Concepts Quotes) Very often in mathematics the crucial problem is to recognize and discover what are the relevant concepts; once this is accomplished the job may be more than half done (Concepts Quotes) I read once about the concepts of a lateral idea and the vertical idea. If you dig a hole and it’s in the wrong place, digging it deeper isn’t going to help. The lateral idea is when you skip over and dig someplace else (Concepts Quotes) Science advances, not by the accumulation of new facts, but by the continuos development of new concepts (Concepts Quotes) The fundamental concepts of physical science, it is now understood, are abstractions, framed by our mind, so as to bring order to an apparent chaos of phenomena (Concepts Quotes) Learning astrology is like learning any foreign language. You already have the ideas, concepts, and experiences of your life within you; you are just learning a new language for what you are already experiencing (Concepts Quotes) The chief contribution of such a radically new and more powerful instrument would be, not to supplement our present ideas of the universe we live in, but rather to uncover new phenomena not yet imagined, and perhaps modify profoundly our basic concepts of space and time (Concepts Quotes) In early historical civilization, lunar symbols wove together three major metaphorical concepts. The first is the idea of fertility. The moon controls the tides of both water and blood – the sacred fluids of the early religions. The second is the concept of periodic rebirth, symbolized by the moon’s monthly waning and renewal. The third is the notion of continually repeating cycles of change (Concepts Quotes) I mean, every thought starts over, so every expression of a thought has to do the same. every accuracy has to be invented... I feel I am blundering in concepts too fine for me (Concepts Quotes) I’m less interested in how people are following each other and more interested in how they are following topics and tweets themselves. People are following more key words and concepts and more ideas and acting on those rather than individuals or organizations (Concepts Quotes) I believe that an art exhibition can be engaging, fun and deeply intellectually satisfying and serious. These are not contradictory concepts in art (Concepts Quotes) This whole issue of limits to growth, which provides a psychological, as well as a physical, cap on potential expansion of activity and awareness, has had a very depressing effect on many people... I don’t for a moment think that there’s any concept which anyone’s working with now which will be followed as a straightforward scenario. But the idea embodied in concepts such as space colonization or space industrialization, or availability of nonterrestrial resources, is fundamental, and it will change the way in which people look at the future (Concepts Quotes) I just have a real problem with people who seek to portray fatness or thinness as moral concepts (Concepts Quotes)

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