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" A mathematical demonstration is not a simple juxtaposition of syllogisms, it is syllogisms placed in a certain order, and the order in which these elements are placed is much more important than the elements themselves. If I have the feeling, the intuition,... "
Report of the Annual Meeting - Page 7
by British Association for the Advancement of Science - 1916
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Nature, Volume 96

Sir Norman Lockyer - 1916 - 1104 pages
...does my memory not fail me in a difficult mathematical reasoning in which the majority of chessplayers would be entirely lost? It is because a mathematical...place of its own accord without making any call on my memorv." ' Poincare1 next discusses the nature of the intellectual gift distinguishing those who can...
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The Monist, Volume 20

Paul Carus - 1910 - 702 pages
...juxtaposition of syllogisms, it is syllogisms placed in a certain order, and the order in which these elements are placed is much more important than the elements themselves. If I have the feeling, the intuition, so to speak, of this order, so as to perceive at a glance the reasoning...
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The Foundations of Science: Science and Hypothesis, the Value of Science ...

Henri Poincaré - 1913 - 584 pages
...juxtaposition of syllogisms, it is syllogisms placed in a certain order, and the order in which these elements are placed is much more important than the elements themselves. If I have the feeling, the intuition, so to speak, of this order, so as to perceive at a glance the reasoning...
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Bulletin of the American Mathematical Society

American Mathematical Society - 1916 - 580 pages
...juxtaposition of syllogisms; it consists of syllogisms placed in a certain order, and the order in which these elements are placed is much more important than the elements themselves. If I have the feeling, the intuition so to speak, of this order so that I can perceive the whole of * Cf., for...
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Experimental Tests of Mathematical Ability and Their Prognostic Value

Agnes Low Rogers - 1918 - 146 pages
...juxtaposition of syllogisms, it is syllogisms placed in a certain order, and the order in which these elements are placed is much more important than the elements themselves. If I have the feeling, the intuition, so to speak, of this order, so as to perceive it at a glance, the reasoning...
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Essence of Creativity: A Guide to Tackling Difficult Problems

Steven Kim - 1990 - 145 pages
...juxtaposition of syllogisms, it is syllogisms placed in a certain order, and the order in which these elements are placed is much more important than the elements themselves. If I have the feeling, the intuition, so to speak, of this order, so as to perceive at a glance the reasoning...
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