The author claims that one must not assume that the simplicity of a scientific theory is a sign of truth. To support this, he claims that, historically, science goes from simpler to less simple theories, such as from Copernicus's "perfect circles" to Kepler's ellipses.
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But planetary orbits are not circles in Copernicus. They are combinations of epicycles in very complicated ways. Kepler's improvement was very strongly driven by a desire to simplify, e.g. making all planetary planes contain the sun and having a uniform model for all planets.
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What does science really need ?
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