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”to arrive at the simplest truth, as newton knew and practiced, requires years of contemplation. Not activity Not reasoning. Not calculating. Not busy behaviour of any kind. not reading. not talking. not making an effort. Not thinking. Simply bearing in mind what it is one needs to know. And yet those with the courage to tread this path to real discovery are not only offered practically no guidance on how to do so, they are actively discouraged and have to set abut it in secret, pretending meanwhile to be diligently en”gaged in the frantic diversions and to conform with the deadening personal opinions which are continually
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being thrust upon them.” George Spencer Brown. ”Mathematicians have long since regarded it as demeaning to work on problems related to elementary
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geometry in two or three dimensions, in spite of the fact that it it precisely this sort of mathematics which is of practical value.” Grünbaum, Branko
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“mathematicians do not study objects, but relations i between objects. thus, they are free to replace some objects by others so long as the relations remain unchanged. content to them is irrelevant: they are b interested in form only.“ jules henri poincaré
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“geometry is the science of correct reasoning on incorrect figures.” george polyá
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