This unusual book takes the form of a dialogue between a linguist and another scientist. This unusual book takes the form of a dialogue between a linguist and another scientist. The dialogue takes place over six days, with each day devoted to a particular topic--and the ensuing digressions. The role of the linguist is to present the fundamentals of the minimalist program of contemporary generative grammar. Although the linguist serves essentially as a voice for Noam Chomsky's ideas, he is not (...) intended to be a portrait of Chomsky himself. The other scientist functions as a kind of devil's advocate, making the arguments that linguists tend to face from those in the "harder" sciences. The author does far more than simply present the minimalist program. He conducts a running argument over the status of theoretical linguistics as a natural science. He raises the general issues of how we conceive words, phrases, and transformations, and what these processes tell us about the human mind. He also attempts to reconcile generative grammar with the punctuated equilibrium version of evolutionary theory. In his foreword, Massimo Piatelli-Palmarini says, "The vast number of readers who have been enthralled by Goedel, Escher, Bach may well like also this syntactic companion, a sort of 'Chomsky, Fibonacci, Bach.'". (shrink)

One of the major arenas for debate within generative grammar is the nature of paradigmatic relations among words. Intervening in key debates at the interface between syntax and semantics, this book examines the relation between structure and meaning, and analyses how it affects the internal properties of words and corresponding syntactic manifestations. Adapting notions from the Evo-Devo project in biology (the idea of 'co-linearity' between structural units and behavioural manifestations) Juan Uriagereka addresses a major puzzle: how words can be both (...) decomposable so as to be acquired by children, and atomic, so that they do not manifest themselves as modular to adults. (shrink)

Mind–body dualism has rarely been an issue in the generative study of mind; Chomsky himself has long claimed it to be incoherent and unformulable. We first present and defend this negative argument but then suggest that the generative enterprise may license a rather novel and internalist view of the mind and its place in nature, different from all of, (i) the commonly assumed functionalist metaphysics of generative linguistics, (ii) physicalism, and (iii) Chomsky’s negative stance. Our argument departs from the empirical (...) observation that the linguistic mind gives rise to hierarchies of semantic complexity that we argue (only) follow from constraints of an essentially mathematical kind. We assume that the faculty of language tightly correlates with the mathematical capacity both formally and in evolution, the latter plausibly arising as an abstraction from the former, as a kind of specialized output. On this basis, and since the semantic hierarchies in question are mirrored in the syntactic complexity of the expression involved, we posit the existence of a higher-dimensional syntax structured on the model of the hierarchy of numbers, in order to explain the semantic facts in question. If so, syntax does not have a physicalist interpretation any more than the hierarchy of number-theoretic spaces does. (shrink)

Verbs and nouns gear θ-dependencies, Case, agreement, or construal relations. Building on Chomsky’s 1974 decomposition of such categories into ±N, ±V features, by translating said features into ±1, ±i scalars that allow for the construction of a vector space, this paper studies the possibility of organizing said features into 2 × 2 square matrices. In the system proposed to explore “head-complement” relations, operating on nouns yields a measurable/observable (Hermitian matrix), which in turn limits other potential combinations with abstract lexical categories. (...) Functional/grammatical categories in the system deploy the same features, albeit organized differently in the matrix diagonal and off-diagonal. The algebraic result is a group with well-defined mathematical properties, which properly includes the Pauli group of standard use in quantum computation. In the system, the presumed difference between categories and interactions—here, in a context of the head-complement sort—reduces to whether the magnitude of the matrix eigenvalue is 1 or not, in the latter instance inducing asymmetric interactions. (shrink)