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.
- 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