| − | '''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 Philosophy''' may refer to the study of the categories of logical propositions and philosophies known as analytics, which are defined by [[Logical positivism|logical positivists]]. Usually, logical [[positivism|positivists]] study the mechanisms of philosophy by applying the scientific method to solve philosophical problems. Analytical propositions are based on a priori knowledge, self-evident and generally [[tautology|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 [[derivative|differentiable]]. | + | 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 (mathematics)|series]]. A function on the complex numbers is analytic if it is [[derivative|differentiable]]. |