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… — 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
