#mind
"The viewpoint of the formalist must lead to the conviction that if other symbolic formulas should be substituted for the ones that now represent the fundamental mathematical relations and the mathematical-logical laws, the absence of the sensation of delight, called "consciousness of legitimacy," which might be the result of such substitution would not in the least invalidate its mathematical exactness. To the philosopher or to the anthropologist, but not to the mathematician, belongs the task of investigating why certain systems of symbolic logic rather than others may be effectively projected upon nature. Not to the mathematician, but to the psychologist, belongs the task of explaining why we believe in certain systems of symbolic logic and not in others, in particular why we are averse to the so-called contradictory systems in which the negative as well as the positive of certain propositions are valid."
React to this quote
More by L. E. J. Brouwer
See allResonant Thoughts
Explore Further
Related Quotes
"Christianity is, I believe, about expanded life, heightened consciousness and achieving a new humanity. It …"
— John Shelby Spong"The race question is subsidiary to the class question in politics, and to think of imperialism in terms of …"
— C. L. R. James"Since it's not considered polite, and surely not politically-correct to come out and actually say that gree…"
— Walter E. Williams"I am reaching out to all groups in Parliament to try and prevent a no-deal Brexit which I think would be ve…"
— Jeremy Corbyn"Solitude gives an I. I that gives solitude. It is in our thoughts, and the one the world gives, in our feel…"
— Joseph Joubert"Husserl has shown that man's prejudices go a great deal deeper than his intellect or his emotions. Consciou…"
— Colin Wilson
