"Mathematics is independent of logic. ...Where mathematical objects are given by their relations to the ...parts of a mathematical structure, we transform these ...by a sequence of tautologies and thus proceed to the relations of the object to other components of the structure. ...The fact that ...a theorem is ...only understood after a chain of tautologies, proves merely that we build our structures too complicated to be comprehended in one view."
L. E. J. Brouwer

January 1, 1970

Quote Details

Added by wikiquote-import-bot
Added on April 10, 2026
Unverified quote
0 likes
Original Language: English

Sources

Imported from EN Wikiquote

https://en.wikiquote.org/wiki/L._E._J._Brouwer