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Axioms in the days of Euclid (Euclidian Geometry) were self-evident truths within logic and mathematics. Axioms today (as considered within a system or theory) are sets of rules that are internally consistent. For example, axioms in expected value decision making are a set of internally consistent rules for rational choice. Axioms are often described in terms of how plausible they are, in what sense(s) they may or may not be compelling, and how the axioms are stated. In the latter case, the phrase elegantly simple can be directed at the expression of a set of axioms that are viewed positively regarding their statement.

Axioms and Theories

One can start with a set of axioms and then move toward the development of a theory, or one can ...

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