Home > Author > L.E.J. Brouwer
1 " (...), dat alle woorduitingen meer of minder ontwikkelde verbale imperatieven zijn, dat dus toespreken altijd neerkomt op bevelen of bedreigen, en begrijpen op gehoorzamen; (...) "
― L.E.J. Brouwer
2 " Most philosophers and moralists believe as little in what they write as the manufacturers of baby foods and meat extracts believe in their own products; neither do they act with more good faith than those who lead spiritualist séance; and very few poets have themselves experienced the happiness they describe. "
― L.E.J. Brouwer , Vita, arte e mistica
3 " Alas, the spheres of truth are less transparent than those of illusion. "
4 " [Neo-intuitionism] considers the falling aparts of moments of life into qualitatively different parts, to be reunited only while remaining separated by time, as the fundamental phenomenon of the human intellect, passing by abstracting from its emotional content into the fundamental phenomenon of mathematical thinking, the intuition of the bare two-oneness. This intuition of two-oneness, the basal intuition of mathematics, creates not only the numbers one and two, but also all finite ordinal numbers, inasmuch as one of the elements of the two-oneness may be thought of as a new two-oneness, which process may be repeated indefinitely. "
5 " It is part of the balance of the eternal and omnipresent life that everyone is called away from this earthly existence when one’s time has come. Until then man suffers in mind and body as befits his evil mood of thrift, his lust for power, his vanity and fear. "
6 " Die Mathematik ist mehr ein Tun als eine Lehre. "
7 " The question where mathematical exactness does exist, is answered differently by the two sides; the intuitionist says: in the human intellect, the formalist says: on paper. "
8 " Intuitionistic mathematics is inner architecture, and research in the foundations of mathematics is inner inquiry. "
9 " Mathematics is nothing more, nothing less, than the exact part of our thinking. "
10 " Intellect has done mankind a devil's service by linking the two phantasies of means and end... there are others [scientists] who do not know when to stop, who keep on and on until they go mad. They grow bald, short-sighted and fat, their stomachs stop working, and moaning with asthma and gastric trouble they fancy that in this way equilibrium is within reach and almost reached.... So much for science, the last flower and ossification of culture. "
11 " The question where mathematical exactness exists is answered differently by the two sides; the intuitionist says: in the human intellect; the formalist says: on paper. "
12 " The question where mathematical exactness does exist is answered differently by the two sides; the intuitionist says: in the human intellect; the formalist says: on paper "
