Truth and Perception

This post was inspired by R's post on truth.
One of the key differences between Western philosophy and Eastern philosophy comes to the fore here.
Let me try to explain by an example: Does the sun go around the earth or the earth go around the sun? Think before you speak!
Tell me that the earth goes around the sun and I will claim that you have cognitive dissonance. Your mom, dad, teachers, newspapers tell you that the earth goes around the sun, so you believe them, refusing to acknowledge the evidence that your own eyes tell you... evidence that you see everyday - the sun goes around the earth!
Tell me this is an illusion! Tell me this is a bit of legerdemain! I reply, "Must be an fantastic piece of magic that deludes literally billions of people everyday!"
Even better, believing what all these people tell you violates one of the fundamental principles of science: that you must not believe what others tell you, because truth is not about popular ideas.
A bit of a conundrum, no? How can you reconcile the fact that the truth of your eyes is different from the truth that science tells you?
Confused? I hope you are! I have just used the tools of science to tell you that one of the most important things that science tells you is wrong!
Think hard about the way out of this puzzle...
The answer is not about grammar or verbal tricks, it is not about spirituality, it is not about ideas like Truth is a Pathless Land. This is about reasoning, about application of logic.
But the correct answer that you get explains one of the fundamental differences in approaches to truth.
I am deliberately keeping the answer for the next post, which should occur tomorrow.