Difference between revisions of "Analytic"
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'''Analytic''' may refer to a category of logical propositions, defined by [[Logical positivism|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. | '''Analytic''' may refer to a category of logical propositions, defined by [[Logical positivism|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. | + | 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]]. |
[[Category:Mathematics]] | [[Category:Mathematics]] | ||
[[Category:Logic]] | [[Category:Logic]] | ||
Revision as of 18:33, August 17, 2008
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.