Knowledge and Learning in Natural Language

C. D. Yang, 2000

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This present disseration is a study of language development in children.  From a biological perspective, the development of language, as the development of any other organic system, is an interaction between internal and external factors; specifically, between the child’s internal knowledge of linguistic structures and the external linguistic experience he receives.  Drawing insights from the study of biological evolution, we put forth a quantitative model of language acquisition that make this interaction precise, by embedding a theory of knowledge, the Universal Grammar, into a theory of learning from experience.  In particular, we advance the idea that language acquisition should be modeled as a population of grammatical hypotheses, competing to match the external linguistic experiences, much like in a natural selection process.  We present evidence – conceptual, mathematical, and empirical, and from a number of independent areas of linguistic research, including the acquisition of syntax and morphology, and historical language change – demonstrate the model’s correctness and utility.

Thesis supervisors:        Robert C. Berwick, Noam Chomsky

Titles:                           Professor of Computer Science and Brain and Cognitive Science,

Institute Professor of Linguistics and Philosophy

Table of Contents

1          The study of language and language acquisition                                      10

            1.1       The naturalistic approach to language                                        10

            1.2       The structure of language acquisition                                                      13

                        1.2.1    Formal sufficiency                                                                     14

                        1.2.2    Development compatibility                                                        15

                        1.2.3    Explanatory continuity                                                   17

            1.3       A roadmap                                                                                           20

2          A variational model of language acquisition                                                        21

            2.1       Against transformational learning                                                           22

                        2.1.1    Formal insufficiency of the triggering model                                25

                        2.1.2    Developmental incompatibility of the triggering model     26

                        2.1.3    Imperfection in child language?                                      28

            2.2       The variational approach to language acquisition                                    30

                        2.2.1    The dynamics of Darwinian evolution                             30

                        2.2.2    Language acquisition as grammar competition                31

            2.3       The dynamics of variational learning                                                       35

                        2.3.1    Asymptotic behaviors                                                               35

                        2.3.2    Stable multiple grammars                                                          37

                        2.3.3    Unambiguous evidence                                                 39

            2.4       Learning grammars in a parametric space                                              41

                        2.4.1    Parameters make learning efficient                                             41

                        2.4.2    Parameter expression and cues                                     45

            2.5       Related approaches                                                                              46

3          Competing grammars in child syntax                                                                  49

            3.1       The development of three parameters                                                    50

                        3.1.1    Verb raising and subject drop: the baselines                               51

                        3.1.2    V1 patterns in V2 learners                                                        52

            3.2       A quantitative argument from the poverty of the stimulus                        55

            3.3       The nature of null subjects in children                                         60

                        3.3.1    The early acquisition of Chinese and Italian subject drop            62

                        3.3.2    Why English kids (sometimes) use Chinese                                63

            3.4       Summary                                                                                              66

4          Words, rules, and competitions                                                             68

            4.1       Background                                                                                          68

            4.2       A model of rule competition                                                                  71

                        4.2.1    A simple learning task                                                   72

                        4.2.2    Rules                                                                                        73

                        4.2.3    Rule competition                                                                       76

                        4.2.4    The absolute and stochastic blocking principles              81

            4.3       Words vs. rules in overregularization                                                     82

                        4.3.1    The mechanics of the WR model                                               83

                        4.3.2    The data                                                                                   85

                        4.3.3    Frequency hierarchy in verb classes                                           86

                        4.3.4    The free-rider effect                                                                  89

                        4.3.5    The effect of phonological regularity; vowel shortening   91

            4.4       Analogy, regularity, and rules                                                                92

                        4.4.1    Analogies or rules                                                                     92

                        4.4.2    Partial regularity and history                                                      96

            4.5       Some purported evidence for the WR model                                         98

                        4.5.1    Error rate                                                                                 98

                        4.5.2    The role of input frequency                                                        100

                        4.5.3    The postulation of the –d rule                                                    101

                        4.5.4    Gradual improvement                                                                103

                        4.5.5    Children’s judgment                                                                  104

                        4.5.6    Anecdotal evidence                                                                  105

                        4.5.7    Adult overregularization                                                            105

                        4.5.8    Indecisive verbs                                                                        106

                        4.5.9    Irregulars over time                                                                   106

                        4.5.10  Corpus statistics                                                                       106

            4.6       Conclusion                                                                                           106

5          Internal and external forces in language change                                      111

            5.1       Grammar competition and language change                                           113

                        5.1.1    The role of linguistic evidence                                        113

                        5.1.2    A variational model of language change                         115

            5.2       The loss of V2 in French                                                                       119

            5.3       The erosion of V2 in Middle English                                                      123

                        5.3.1    Word order in Old English                                                        123

                        5.3.2    The southern dialect                                                                  125

                        5.3.3    The northern dialect and language contact                                  126

            5.4       Conclusion                                                                                           128

6          A synthesis of linguistic knowledge and learning                                     129