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L. E. J. Brouwer Quotes and Sayings

“One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.”
 L. E. J. Brouwer 
“Alas, the spheres of truth are less transparent than those of illusion.”
 L. E. J. Brouwer 
“Oil is seldom found where it is most needed, and seldom most needed where it is found.”
 L. E. J. Brouwer 
“Mathematics is nothing more, nothing less, than the exact part of our thinking.”
 L. E. J. Brouwer 
“The construction itself is an art, its application to the world an evil parasite.”
 L. E. J. Brouwer 

“Beyond the natural numbers, addition, multiplication, and mathematical induction are intuitively clear.”
 L. E. J. Brouwer