Analytic philosophy

Analytic philosophy is a major tradition in contemporary Western philosophy, especially in English-speaking countries. It prioritizes clear writing, careful argumentation, formal logic, mathematics, and the natural sciences over the humanities. A key feature is the "linguistic turn"—a focus on language and meaning. It's often contrasted with "continental philosophy," a label for approaches like existentialism, phenomenology, and Hegelianism. Another way to put it is that analytic philosophy is seen as technical or academic, while continental philosophy is more literary. This school started gaining ground around 1900 and has been the dominant style since the mid-20th century.

Key early figures include Gottlob Frege, Bertrand Russell, G. E. Moore, and Ludwig Wittgenstein. Others who shaped it are Franz Brentano, the logical positivists (especially Rudolf Carnap), and the ordinary language philosophers. Later, thinkers like Wilfrid Sellars, W. V. O. Quine, Saul Kripke, and David Lewis helped move past logical positivism and revived metaphysics. Analytic philosophy also created new fields, such as the philosophy of language, mathematics, and science, as well as modern predicate and mathematical logic.

The history of analytic philosophy (in its 20th/21st-century sense) typically starts with a rejection of British idealism, a neo-Hegelian movement. Important forerunners include Frege’s work in logic and language, plus the Austrian tradition of Bernard Bolzano, Franz Brentano, Alexius Meinong, and the early Edmund Husserl. In fact, Michael Dummett argued that analytic philosophy is better called Anglo-Austrian than Anglo-American, due to the strong influence of Austrian realism from the former Austria-Hungary.

Franz Brentano, a philosopher and psychologist at the University of Vienna, introduced the concept of intentionality in his 1874 work *Psychology from an Empirical Standpoint*. For him, all mental acts are directed at or "about" something—a real, non-mental intentional object. This "aboutness" is the defining mark of the mental, distinct from intention or intension. He described it as the "intentional inexistence" of an object within a mental phenomenon: in presentation, something is presented; in judgment, affirmed or denied; in love, loved; in hate, hated; and so on. No physical phenomenon has this property.

Brentano’s school included Husserl and Meinong. Meinong, who founded the Graz School, is known for his ontology of real, nonexistent objects—a solution to the problem of empty names. This view, called Meinongianism (or "Meinong's jungle"), holds that objects like flying pigs or golden mountains are real and have being, even though they don't exist. The Polish Lwów–Warsaw school, founded by Kazimierz Twardowski, was also influenced by Brentano. Twardowski emphasized "small philosophy"—the detailed, systematic analysis of specific problems—and was further influenced by the Bohemian logical realist Bernard Bolzano.

Gottlob Frege, a German professor of geometry, logician, and philosopher, is considered the father of analytic philosophy. He advocated logicism—the project of reducing arithmetic to pure logic—supporting Leibniz and opposing Kant in the philosophy of mathematics. In his 1879 book *Begriffsschrift* (Concept-script), Frege developed modern mathematical and predicate logic with quantifiers, unifying Aristotelian and Stoic logic. This allowed a much wider range of sentences to be analyzed logically, solving problems like multiple generality.

In the late 19th century, Neo-Kantianism dominated German philosophy. Husserl’s 1891 *Philosophie der Arithmetik* argued that the concept of a cardinal number comes from mental acts of grouping and counting. Frege opposed this "psychologism" in *The Foundations of Arithmetic* (1884) and *The Basic Laws of Arithmetic* (1893–1903), arguing that mathematics and logic have their own public objects, independent of private judgments. Following Frege, logicists tended toward a kind of mathematical Platonism. The modern study of set theory was started by Richard Dedekind and Georg Cantor, and Giuseppe Peano simplified Dedekind’s work into Peano arithmetic. Frege extended this by trying to reduce arithmetic to logic, developing naive set theory and a set-theoretic definition of natural numbers. Frege also influenced the philosophy of language; Michael Dummett traces the linguistic turn to Frege’s *Foundations of Arithmetic* and its context principle.