Materialism assumes that reality is defined by the empirical, yet there is no basis in logic or reason for such an assumption.
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And the philosophical materialist - if honest - would agree with you. Their response would be very predictable. “I have no evidence of anything but the physical world”, and you - if honest - would have to agree. That you have faith in the existence of another realm of existence is not evidence of its existence.
No, I would not have to agree. I believe human experience shows that universal concepts such as logic, beauty, values, moral laws, etc. have just as much evidence for their independant objective existance and are just a "real" as gravity or any other aspect of the material word. Faith is not blind faith or a leap of faith - it is based on objective evidence.