One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical… — L. E. J. Brouwer Copy Share Image
The subject for which I am asking your attention deals with the foundations of mathematics. To understand the development of the opposing… — L. E. J. Brouwer Copy Share Image
Alas, the spheres of truth are less transparent than those of illusion. — L. E. J. Brouwer Copy Share Image
One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of… — L. E. J. Brouwer Copy Share Image
Beyond the natural numbers, addition, multiplication, and mathematical induction are intuitively clear. — L. E. J. Brouwer Copy Share Image
...an incorrect theory, even if it cannot be inhibited by any contradiction that would refute it, is none the less incorrect, just as a… — L. E. J. Brouwer Copy Share Image
Mathematics is nothing more, nothing less, than the exact part of our thinking. — L. E. J. Brouwer Copy Share Image
The construction itself is an art, its application to the world an evil parasite. — L. E. J. Brouwer Copy Share Image
Oil is seldom found where it is most needed, and seldom most needed where it is found. — L. E. J. Brouwer Copy Share Image
The subject for which I am asking your attention deals with the foundations of mathematics. To understand the development of the opposing theories existing… — L. E. J. Brouwer Copy Share Image
