Analytic

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Analytic may refer to a category of logical propositions, defined by logical positivists. Analytical propositions are based on a priori knowledge, self-evident and generally tautalogical; they are definitively true or false by definition. Their truth or falsehood is often, but not always, obvious. Analytic propositions also encompass mathematical reasoning.

The term analytic may also describe a particular type of function in mathematics. Roughly speaking, a function is analytic if it is determined by its series. A function on the complex numbers is analytic iff it is differentiable.

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