The view that mathematics deals with ideal objects to which we have epistemic access by a kind of perception ('intuition') has troubled many thinkers. Using ideas from Husserl's phenomenology, I will take a different look at these matters. The upshot of this approach is that there are non-material objects and that they can be recognized in a process very closely related to sense perception. In fact, the perception of physical objects may be regarded as a special case of this more universal way of recognizing objects of any kind.