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There are two main types of theories: the theories of principles and the constructive theories. The theories of principles use analysis: we observe an event and explain it through the use of mathematics and experiments. Constructive theories, on the other hand, use synthesis. In these theories we use the information from the theories of principles to construct more complex theories. For example, the theory of principles proved that matter vibrates. Later, constructive theory used this information to prove that, sound, heat and radiation derive from vibration.