The Logical Structure of the World (Der logische Aufbau der Welt) is Carnap's first major work and one of the most ambitious projects in the history of analytic philosophy — an attempt to construct a logical-structural system (Konstitutionssystem) that would reconstruct all the concepts of science from a minimal phenomenalist basis using the resources of modern mathematical logic. Inspired by Frege's logicism, Russell and Whitehead's Principia Mathematica, and Mach's empiricism, Carnap begins with elementary experiences (Erlebnisse) and the single primitive relation of remembered similarity between experience-classes, then attempts to define — step by step through explicit logical constructions — all the concepts of the physical world, the mental states of other persons, and the cultural objects of the human sciences. The project is foundationalist in ambition: if successful, it would show that all meaningful empirical claims can be translated without remainder into logical-structural statements about the relations between basic experiential elements. The book is also notable for its verificationist criterion of meaning: a statement is empirically meaningful if and only if it can be shown to have logical connections to elementary experiences. Though the constructional programme was eventually abandoned — Carnap himself moved away from phenomenalism toward physicalism, and Quine later challenged the entire project in "Two Dogmas of Empiricism" — the Aufbau remains a landmark of logical empiricism and the philosophy of science, and its structural approach to meaning and reduction continues to influence philosophy and cognitive science.
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