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Grammar, Geometry, and Brain cover

Grammar, Geometry, and Brain

Jens Erik Fenstad

This original study considers the effects of language and meaning on the brain. Jens Erik Fenstad—an expert in the fields of recursion theory, nonstandard analysis, and natural language semantics—combines current formal semantics with a geometric structure in order to trace how common nouns, properties, natural kinds, and attractors link with brain dynamics.

Jens Erik Fenstad is professor emeritus in the Department of Mathematics at the University of Oslo and a member of the Norwegian Academy of Letters and Science and of Academia Europaea.

Contents

  • Preface
  • Introduction
  • 1 Grammar
    • 1.1 Some observations on the history of grammar and logic
    • 1.2 Grammar and the mathematical sciences
    • 1.3 Remarks on the formal theory of grammar
    • 1.4 Language technology
    • 1.5 Symbols carry meaning
  • 2 Grammar and Geometry
    • 2.1 Formal semantics and its ontology
    • 2.2 Model Theory and geometry
    • 2.3 Geometry and mind
  • 3 Grammar, Geometry and Brain
    • 3.1 Brain and grammar
    • 3.2 Closing the gap
    • 3.3 What little we know
  • References

April 2010

ISBN (Paperback): 9781575865928 (1575865920)
ISBN (Electronic): 9781575866871 (1575866870)

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