1. Probability and Chance, Fritz Mauthner's Studies of Improbability

Now there is a certain way of thinking about divine providence. Materialists say something like this about it: We want to examine the reasoning of those who believe in God and providence; what are their thoughts? Believers in providence say, Let us take a work like Goethe's Faust or Homer's epics. What is Goethe's Faust in the last analysis? If we think as the materialists do, picturing the world as composed of atoms or molecules, we would really have to conceive Faust in its entirety as composed of letters, of single letters, unless we wished to go deeper. People who believe in providence and also believe in atoms and molecules formulate the situation more or less like this: Let's imagine that we have a container of type and in it all the letters that make up Faust, and some machinery—not some intelligence—spreads out these letters. The believers in providence could now ask how great the probability is of Goethe's Faust emerging from a typesetting machine that simply put the letters one after the other as they happened to fall on being thrown out of the container. They ask the question, perhaps, but have to admit that the probability of such a thing happening is so slight as to be nonexistent. One cannot assume that a haphazard scattering of type could possibly result in a chance (Voltaire's “His Majesty, Chance”) printing of Goethe's Faust. Since that can't be the case with Goethe's Faust, we can scarcely think that this world, which is much, much more gloriously put together, could have been flung down so thoughtlessly and simply.