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E-raamat: Linguistics and the Formal Sciences: The Origins of Generative Grammar

(University of Cambridge)
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An insightful overview of how syntactic theory was influenced by developments in the formal sciences during the twentieth Century.

The formal sciences, particularly mathematics, have had a profound influence on the development of linguistics. This insightful overview looks at techniques that were introduced in the fields of mathematics, logic and philosophy during the twentieth century, and explores their effect on the work of various linguists. In particular, it discusses the 'foundations crisis' that destabilised mathematics at the start of the twentieth century, the numerous related movements which sought to respond to this crisis, and how they influenced the development of syntactic theory in the 1950s. The book concludes by discussing the resulting major consequences for syntactic theory, and provides a detailed reassessment of Chomsky's early work at the advent of Generative Grammar. Informative and revealing, this book will be invaluable to all those working in formal linguistics, in particular those interested in its history and development.

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An insightful overview of how syntactic theory was influenced by developments in the formal sciences during the twentieth Century.
Acknowledgments xi
List of mathematical symbols xii
List of abbreviations xiii
1 Introduction 1(20)
2 The consequences of analysis 21(33)
2.1
Chapter overview
21(1)
2.2 Calculus: doubts and disputes
22(4)
2.3 Rigour, arithmetic, and axioms
26(3)
2.4 Set theory and paradoxes
29(3)
2.5 Logicism
32(6)
2.6 Formalism
38(7)
2.7 Intuitionism
45(2)
2.8 Evangelism and pedagogy
47(7)
3 Mathematical linguistics 54(54)
3.1
Chapter overview
54(1)
3.2 Axiomatics
55(5)
3.3 Recursive definitions
60(7)
3.4 Logical systems
67(6)
3.5 Constructional system theory
73(11)
3.6 Constructive nominalism
84(4)
3.7 Formal linguistic theory
88(18)
3.8 New directions
106(2)
4 Systems of syntax: 1951-1955 108(32)
4.1
Chapter overview
108(1)
4.2 Biography and influences
109(3)
4.3 Simplicity and grammar
112(9)
4.4 Constructive nominalist syntax
121(4)
4.5 Logic and linguistic theory
125(15)
5 Transforming generative grammar: 1955-1957 140(43)
5.1
Chapter overview
140(1)
5.2 Stochastic processes and autonomous grammar
140(9)
5.3 From discovery to evaluation
149(7)
5.4 Constructional levels
156(3)
5.5 Transforming transformations
159(9)
5.6 Recursive rules
168(6)
5.7 Formal syntax
174(9)
6 Conclusion 183(18)
Notes 201(8)
Bibliography 209(11)
Index 220


Marcus Tomalin is a Fellow of Downing College, University of Cambridge, and a Research Associate in the Department of Engineering, University of Cambridge.