Semantics

Preface
Contents
1: Introduction
	1.1 Compositionality and contextuality
	1.2 Selecting the subject matter
	1.3 Information content
	1.4 Plan of the book
	1.5 Suggested reading plans
	1.6 Further reading
2: Linear Spaces, Boolean Algebras, and First Order Logic
	2.1 Algebras, Boolean algebras
	2.2 Universal algebra
	2.3 Filters, ultrafilters, ultraproducts
	2.4 The propositional calculus
	2.5 First order formulas
	2.6 Proof theory
	2.7 Multivariate statistics
	2.8 Further reading
3: Prolepsis
	3.1 Understanding
	3.2 The minimal theory
	3.3 Space and time
	3.4 Psychology
	3.5 Rules
	3.6 Regularities
	3.7 The standard theory
	3.8 Desiderata
	3.9 Continuous vector space models
	3.10 Further reading
4: Graphs and Machines
	4.1 Abstract finite computation
	4.2 Formal syntax
	4.3 The smallest machines
	4.4 Graph and machine operations
	4.5 Lexemes
	4.6 Inner syntax
	4.7 Further reading
	4.8 Appendix: defining words
5: Phenogrammar
	5.1 Hierarchical structure
	5.2 Morphology
	5.3 Syntax
	5.4 Dependencies
	5.5 Representing knowledge and meaning
	5.6 Thoughts in the head
	5.7 Pragmatics
	5.8 Valuation
	5.9 Further reading
6: Lexemes
	6.1 Lexical entries
	6.2 Concepts
	6.3 Lexical categories
	6.4 Word meaning
	6.5 The formal model
	6.6 The semantics of lexemes
	6.7 Further reading
7: Models
	7.1 Schematic inferences
	7.2 External models
	7.3 Modalities
	7.4 Quantification
	7.5 Further reading
8: Embodiment
	8.1 Perception
	8.2 Action
	8.3 Adverbials
	8.4 Further reading
9: The meaning of life
	9.1 Moral philosophy
	9.2 The empirical basis of moral law
	9.3 Metatheoretical considerations
	9.4 A formal model
	9.5 Summary and conclusions
	9.6 Further reading
Hints for selected exercises
Solutions for selected exercises
References
Index
External index