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They analyse the links between linguistic and population genetics, and consider how far language can be used to discover and understand the histories and interrelations of human populations. They explore the origins and formation of the Indo-European languages and examine less well studied languages in South America. Their book will be of great practical importance to students and researchers in historical and comparative linguistics and will interest all those concerned with the classification and diffusion of languages in fields such as archaeology, genetics, and anthropology. 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She also shows that theoretical work in related disciplines can be used to assess the value of such theories.  Optimality Theory, or OT as it is usually called, dominates contemporary phonology, especially in the USA, and is becoming increasingly influential in syntax and language acquisition. Having set out its basis principles, Professor McMahon assesses their explanatory power in analysing language change and its residues in current phonological systems. Using cross-linguistic data, and drawing comparisons with other theories inside and outside linguistics, she shows that OT is incapable of accounting for language change, without the addition of rules and an appreciation of chance and historical contingency that would then undermine its theoretical underpinnings.   OT relies on innateness and needs to discuss the origins of allegedly genetically-specified features. 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