There five main things that science cannot prove and they are as follows:
- Logical and mathematical truths cannot be proven by science. Science presupposes logic and math; to try to prove them by science would be arguing in a circle.
- Metaphysical truths such as that there are other minds other than my own or that the external world is real or that the past wasn’t created five minutes ago with the appearance of age.
- Ethical beliefs about statements of value are not accessible by the scientific method. You can’t show by science whether the Nazi scientists did anything in the camps that is evil as opposed to the scientists in western democracies.
- Aesthetic judgments cannot be accessed by the scientific method because the beautiful, like the good, cannot be scientifically proven.
- Science itself. Science cannot be justified by the scientific method. Science is permeated by improvable assumptions. For example, in the special theory of relativity, the whole theory hinges on the assumption that the speed of light is constant in a one-way direction from point A to point B, it must be assumed.
