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Things that cannot be scientifically proven:  1. Mathematics and logic Science can’t prove them because science presupposes them.  2. Metaphysical truths Such as, there are minds that exist other than my own.  3. Ethical judgements You can’t prove by science that the Nazis were evil because morality is not subject to the scientific method.  4. Aesthetic judgements The beautiful, like the good, cannot be scientifically proven.  5. Science itself The belief that the scientific method discovers truth can’t be proven by the scientific method itself.  Norman L. Geisler & Frank Turek, I don't have enough Faith to be an Atheist

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