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 |
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vii | |
Introduction |
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1 | (4) |
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5 | (30) |
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Some observations on the history of grammar and logic |
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8 | (6) |
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Grammar and the mathematical sciences |
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14 | (3) |
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Remarks on the formal theory of grammar |
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17 | (13) |
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30 | (3) |
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33 | (2) |
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35 | (22) |
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Formal semantics and its ontology |
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35 | (6) |
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Model theory and geometry |
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41 | (6) |
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47 | (10) |
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Grammar, Geometry, and Brain |
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57 | (36) |
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58 | (11) |
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69 | (21) |
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90 | (3) |
References |
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93 | |
Jens Erik Fenstad is professor emeritus in the Department of Mathematics at the University of Oslo.