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Grammar, Geometry, and Brain [Kietas viršelis]

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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.

Preface vii
Introduction 1(4)
Grammar
5(30)
Some Observations on the History of Grammar and Logic
8(6)
Grammar and the Mathematical Sciences
14(3)
Remarks on the Formal Theory of Grammar
17(13)
Language Technology
30(3)
Symbols Carry Meaning
33(2)
Grammar and Geometry
35(22)
Formal Semantics and its Ontology
35(6)
Model Theory and Gemoetry
41(6)
Geometry and Mind
47(10)
Grammar, Geometry, and Brain
57(36)
Brain and Grammar
58(11)
Closing the Gap
69(21)
What Little we Know
90(3)
References 93
Jens Erik Fenstad is professor emeritus in the Department of Mathematics at the University of Oslo.