Linguistic theories of lexical semantics support a Neoclassical Theory of concepts, where entities like CAUSE, STATE, and MANNER serve as necessary conditions for the possession of individual event concepts. Not all concepts have a neoclassical structure, and whether or not words participate in regular linguistic patterns such as verbal alternations will be proposed as a probe for identifying whether their corresponding concepts do indeed have such structure. I show how the Neoclassical Theory supplements existing theories of concepts and supports a version of analyticity and conceptual analysis.After engaging in debate for a sufficient amount of time, one realizes that arguments can only proceed when participants share the relevant concepts. Establishing shared concepts is so important to philosophy that during the 20th century many philosophers explicitly stated that the entire aim of the field was to analyze and clarify concepts, helping to facilitate some debates and put an end to others. This article will argue that linguistic theories of lexical semantics have interesting and important consequences for the study of concepts. The first section sets out the phenomena a theory of concepts is supposed to explain, and the second provides a survey of some current theories and the challenges they face. Section 3 presents an overview of decompositional approaches to lexical semantics, and Section 4 shows how these approaches support a Neoclassical Theory of concepts that helps explain the phenomena at issue. Finally, Sections 5 and 6 develop a kind of conceptual analysis from this theory and show how it can be applied to philosophical problems.