For thousands of years it was indisputable fact that the world was flat, and then it was no longer true. We know from our own experience that a lot of what was taught as indisputable fact a few years ago, dictated by the medical profession and scientists and historians, etc., is no longer true. Why? Because the empirical evidence upon which the facts were based has been usurped by the discovery of further empirical evidence.
This suggests that empirical evidence is not a reliable basis for defining what is true. Instead, it only makes belief more believable than blind belief!
This is the nature of the physical world, and explains why, with so much apparent progress in medicine, people are generally more preoccupied with their body and less healthy; with such giant steps forward in technology and communication, people are less in touch with each other; with affluence has come a huge increase in depression.
Whether blind or supported by "fact", belief does not cut it! This is what Jesus meant by "The kingdom of God cometh not with observation: Neither shall they say, Lo here! or, lo there! for, behold, the kingdom of God is within you." The kingdom of God is not some far off thing, something removed from life here on earth! It is the only place where peace and fulfillment are found, and it is understood from within, not believed from without.
Jesus showed the way when he rejected the dictates of empirical evidence and healed inveterate diseases, fed the multitudes with a few loaves of bread a couple of fish, walked on the water, and overcame death. His mode of operation, his science, relied upon spiritual understanding, an acknowledgement of God as the only life, intelligence, life.
"Truth casts out all evils and materialistic methods with the actual spiritual law, — the law which gives sight to the blind, hearing to the deaf, voice to the dumb, feet to the lame. If Christian Science dishonors human belief, it honors spiritual understanding; and the one Mind only is entitled to honor." (S&H)