Brouwer's career suffered as a consequence of his disagreements with Hilbert.
EDIT (with links to the political aspect):
Letters written more about the politics of publishing than the math itself are referenced in a book called "The War of the Frogs and the Mice"
(PDF) http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.224... (see bottom of pg 9 as displayed for the letter Brouwer wrote to Hilbert's wife)
>In the later 1920s, Brouwer became involved in a public and demeaning controversy with Hilbert over editorial policy at Mathematische Annalen,
It doesn't read like the political fights were about math. Although Hilbert disagreed with Brouwer, it sounds like the falling out was precipitated by arguing over something subjective.
It doesn't read like the political fights were about math. Although Hilbert disagreed with Brouwer, it sounds like the falling out was precipitated by arguing over something subjective.