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Miyamoto Musashi

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Fixed formation is bad. Study this well.

 
Miyamoto Musashi

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When I commenced the study of man... I thought at least to find many companions in the study of man, and that it was the true study which is suited to him. I have been deceived; still fewer study it than geometry. It is only from the want of knowing how to study this that we seek the other studies. But is it not that even here is not the knowledge which man should have, and that for the purpose of happiness it is better for him not to know himself? 144

 
Blaise Pascal
 

Why has not anyone seen that fossils alone gave birth to a theory about the formation of the earth, that without them, no one would have ever dreamed that there were successive epochs in the formation of the globe.

 
Georges Cuvier
 

In order for there to be a variable quantity in some mathematical study, the domain of its variability must strictly speaking be known beforehand through a definition. However, this domain cannot itself be something variable, since otherwise each fixed support for the study would collapse. Thus this domain is a definite, actually infinite set of values. Hence each potential infinite, if it is rigorously applicable mathematically, presupposes an actual infinite.

 
Georg Cantor
 

As a child I scribbled; and my favourite pastime, during the hours given me for recreation, was to "write stories." Still I had a dearer pleasure than this, which was the formation of castles in the air—the indulging in waking dreams—the following up trains of thought, which had for their subject the formation of a succession of imaginary incidents. My dreams were at once more fantastic and agreeable than my writings.

 
Mary Wollstonecraft Shelley
 

Any schoolboy could see that man as a force must be measured by motion, from a fixed point. Psychology helped here by suggesting a unit — the point of history when man held the highest idea of himself as a unit in a unified universe. Eight or ten years of study had led Adams to think he might use the century 1150-1250, expressed in Amiens Cathedral and the Works of Thomas Aquinas, as the unit from which he might measure motion down to his own time, without assuming anything as true or untrue, except relation. The movement might be studied at once in philosophy and mechanics. Setting himself to the task, he began a volume which he mentally knew as "Mont-Saint-Michel and Chartres: a Study of Thirteenth-Century Unity." From that point he proposed to fix a position for himself, which he could label: "The Education of Henry Adams: a Study of Twentieth-Century Multiplicity." With the help of these two points of relation, he hoped to project his lines forward and backward indefinitely, subject to correction from any one who should know better. Thereupon, he sailed for home.

 
Henry Adams
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