Theory (mathematical logic)
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Theory (mathematical logic)

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.In mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language. The individual sentences of a theory are called its theorems. When defining theories for foundational purposes, additional care must be taken and normal set-theoretic language may not be appropriate. The construction of a theory begins by specifying a definite non-empty conceptual class mathcal{E}, the elements of which are called statements. These initial statemen...