analyticity
Noun: * The property of being analytic: This refers to the characteristic or quality of something that is analytic. In logic and philosophy, it describes a statement or proposition whose truth is determined solely by the meanings of its constituent words and the rules of logic, without reference to facts about the world. In mathematics, it describes a function that is locally given by a convergent power series.
The word "analyticity" is a formal, academic term used primarily in the fields of philosophy, logic, linguistics, and mathematics. It names the abstract property that an analytic statement or analytic function possesses. * In philosophy/logic: "The analyticity of the statement 'All bachelors are unmarried men' is based on the definition of the word 'bachelor'." * In mathematics: "The analyticity of the complex function allows us to use powerful tools from complex analysis."
- The philosopher questioned the analyticity of supposedly self-evident logical truths.
- A key topic in the philosophy of language is the analyticity of certain sentences.
- The theorem depends on the analyticity of the function across the entire domain.
- Debates about analyticity were central to 20th-century analytic philosophy.
- Conceptual Analyticity: Refers to truth based purely on conceptual containment or definition.
- Epistemic Analyticity: Refers to a statement whose truth can be known merely by understanding its meaning.
- Analytic (adjective): Pertaining to or using analysis or logical reasoning; (in logic/math) having the property of analyticity. (e.g., an proof, an function).
- Analytically (adverb): In an analytic manner. (e.g., to approach a problem ).
- Analysis (noun): The process of breaking a complex topic into smaller parts to gain a better understanding.
- Tautologousness (specifically in logic, for analytic truths that are tautologies)
- Conceptual truth (philosophy)
- Necessity (in a logical sense, though not perfectly equivalent)
- Syntheticity (the property of being synthetic—where truth depends on factual information about the world)
- Contingency (the state of being contingent, or dependent on circumstance rather than logical necessity)
-
the property of being analytic
