What we know of physical and biological science makes existence of God less probable than the existence of Santa Claus. And the parts of physics that rule out God are not themselves open to much doubt. There is no chance that they will be revised by anything yet to be discovered. To be sure, there will be revolutionary developments in science. Superstring theory may give way to quantum-loop gravity; exceptions to the genetic code may be discovered; some unique function of consciousness may be identified. But there are some things that won't happen. Purposes and designs will never have a role in physics and biology. Perpetual motion machines and other violations of the laws of thermodynamics won't arise, not even if there turns out to be such a thing as cold fusion.
American philosopher (born 1946)
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A hundred years ago, it became clear that most events at the level of the subatomic are random, uncaused, indeterministic quantum events—merely matters of probability. Locate an electron on one side of a steel barrier it doesn't have the energy to penetrate. There is some probability that the next time you detect it, the electron will be on the other side of the barrier it can't penetrate. But there are no facts about the electron that explain why sometimes it does this and sometimes it doesn't. At the basement level of reality, there are just probabilities.
There is, however, a much more convincing argument that needs to be put on the table before we really begin turning common sense upside down. It is the overwhelming reason to prefer science to ordinary beliefs, common sense, and direct experience. Science is just common sense continually improving itself, rebuilding itself, until it is no longer recognizable as common sense. It is easy to miss this fact about science without studying a lot of history of science—and not the stories about science, but the succession of actual scientific theories and how common sense was both their mother and their midwife.
Physics is by no means "finished". But the part of it that explains almost everything in the universe—including us—is finished, and much of it has been finished for a century or more. This includes the physics that we are going to need. Nothing at the unsettled frontiers of physics challenges the parts we're going to make use of. What's more, the physics we need is easy to understand, certainly far easier than quantum mechanics, general relativity, or string theory.
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We have to acknowledge (to ourselves, at least) that many questions we want the "right" answers to just don't have any. These are the questions about the morality of stem-cell research or abortion or affirmative action or gay marriage or our obligations to future generations. Many enlightened people, including many scientists, think that reasonable people can eventually find the right answers to such questions. Alas, it will turn out that all anyone can really find are the answers that they like.