I think philosophy is relevant to mathematics in the sense that one sometimes must be willing to step back from what one is doing, and ask deeper questions: Am I making assumptions here that are actually not true? This is a difficult thing, because how can you free yourself from assumptions you don't even know you made?
Platonism can help here, because if you are trying to create a thing you know should exist, but you fail to do it, although you try again and again and again, then at some point you can either give up, because you think it is all arbitrary anyway, so why bother? Or you just keep digging, reevaluating your assumptions until something clicks.
Platonism can help here, because if you are trying to create a thing you know should exist, but you fail to do it, although you try again and again and again, then at some point you can either give up, because you think it is all arbitrary anyway, so why bother? Or you just keep digging, reevaluating your assumptions until something clicks.