I think that Brouwer was already beginning to reject non-constructive methods before he developed his fixed-point theorems, and indeed some of these ideas were swirling around the mathematical zeitgeist at the time. But who knows what it was that triggered his formulation of a mini-revolution? These things are a product of a creative free will, I would say, and are thus somewhat unpredictable.
Hi .mau.
I think that Brouwer was already beginning to reject non-constructive methods before he developed his fixed-point theorems, and indeed some of these ideas were swirling around the mathematical zeitgeist at the time. But who knows what it was that triggered his formulation of a mini-revolution? These things are a product of a creative free will, I would say, and are thus somewhat unpredictable.