No
At it's core it has to be taken on faith that what humans perceive as our world is real and that the physical sciences can prove truths within it.
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A Taxonomy of Philosophy »A Taxonomy of Philosophy
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Science, Logic, and Mathematics »Science, Logic, and Mathematics
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Philosophy of Physical Science »Philosophy of Physical Science
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Can science prove that the physical world is real? »Can science prove that the physical world is real?
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No
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Why? »Why?
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