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Logical and mathematical truths cannot be proven by science. Science presupposes logic and math; consequently, we must accept (trust?) that logic and mathematics express many truths, despite not being able in principle to ascertain those truths.
Notions such as there are other minds other than my own or the external world is real are rational beliefs, but they cannot be scientifically proven. Ethical beliefs and values are not scientifically provable. Aesthetic judgments, too, cannot be shown by science because the beautiful, like the good, cannot be scientifically proven. Furthermore, science itself cannot be justified by the scientific method.
Science is infused with assumptions that must be accepted but cannot be proven. For example, the special theory of relativity relies on the assumption that the speed of light is constant in a one-way direction between points A and B. But such a notion cannot be proven. We simply have to presuppose that notion in order to hold to the theory.
From the foregoing considerations, discuss in what respects belief in God and belief in a god differ from our understanding of science.
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