The appropriate way to formulate this is to ask: "given everything that came before Beethoven beginning to write this (or any other) piece, what is the probability of writing this as opposed to some other composition?"
The chain from the Big Bang to any given current state is for all intents and purposes, zero. But over time, as the universe and then earth and then life, and then mammals, and then...so on and so on...occurred, the probability rose until that day when he sat down to compose and out came that piece, the probability was 100 percent, or so close as the make no difference.
Good post! Beethoven's music did not suddenly appear by the foolish notion of randomness and chance, which has not been observed in nature. Beethoven's music is product of a chain of cause and effect events of human creativity since before humans were first human. and of course since the beginning of our universe. It is easier to deal with the chain of cause and events human history. Music and simple musical instruments is found in the Neolithic cultures today. It is common to mimic birds, and compose music. Artistic creativity is shown to be an attribute of being human.In Europe the classical music evolved from folk music. Here is where the concept of fractal math (chaos theory) and the chain of cause and events limited by natural laws lead to compositions of music. Something like all maple leaves look like maple leaves, but no two maple leaves are alike. the natural progression of artistic music compositions will never be alike, but there would be a diversity of compositions of classic music. Given the chain of cause and effect events leading up to the time of Beethoven music the probability of classical music of similar or like music is probably 1.
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