Eliezer_Yudkowsky comments on How to Convince Me That 2 + 2 = 3 - Less Wrong
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"A priori reasoning" takes place inside the brain; which is to say, any particular form of "a priori reasoning" is part of a simple physical process unified with the empirical questions that we are reasoning about. It is no great surprise by selecting the right form of "a priori reasoning" we can manage to mirror the outside world. Inside and outside are part of the same world.
When you think about mathematics, your thoughts are not taking place inside another universe, though I can see why people would feel that way.