—Blaise Pascal
Pascal was a mathematician, and he tells us truth is accessible by the heart. Pascal's Wager aside (with its philosophical problems), he made significant contributions to geometry, probability theory, and the physical sciences.
Wikipedia: In De l'Art de persuader ("On the Art of Persuasion"), Pascal looked deeper into geometry's axiomatic method, specifically the question of how people come to be convinced of the axioms upon which later conclusions are based. Pascal agreed with Montaigne that achieving certainty in these axioms and conclusions through human methods is impossible. He asserted that these principles can only be grasped through intuition, and that this fact underscored the necessity for submission to God in searching out truths.
Axiomatic principles of mathematics accessible only through intuition? What? What do you mean by intuition? Perhaps intuition is this: the sun, by its light, gives life but also sight. We could not live not without the sun, quite literally, but too much of its light in the form of UV rays will hurt our skin. But the sun rises as a new day begins. How does it rise? It doesn't. We turn, and by 'we' I mean we the Earth. Our spinning on an axis produces the 'rise' of the sun. And perhaps we're in our beds reading this right now; the sun has just pierced your bedroom window through its many photons travelling at the speed of light. You wake. Your eyes are tired as any but slowly, as your eyes adjust to the newfound light (by gradually opening your squinting to a full-on look), you see the sun. You see the shadows of the buildings produced by the sun and how beautiful the trees seem or don’t seem. It is a new day. And you keep this truth in your heart, close to it, and not like other truths you'll throw like wastepaper at people around you. This is intuition: knowing without knowing. And intuition is impressive—it is like love. Like how a loved one leaves an impression on your heart, intuition comes from within and changes you forever. The conceit is that we needed a word like 'intuition': it is within us and it is mysterious. It's in your heart. And when you expand your heart, you'll expand the scope of your intuition. This is love of woman and love of man; it is nothing else. We stretch our faith to what it cannot possibly explain: sincerely-interested empathetic understanding of the world. The world is us. We are the world. Change it.