FROM RULES OF GRAMMAR TO LAWS OF NATURE

FROM RULES OF GRAMMAR TO LAWS OF NATURE

Library of Congress Cataloging-in-Publication Data

Contents

Abstract

Introduction

Part I: The Mental Dictionary

1. Kinship Terms

2. NumberWords

3. Nouns

4. Verbs

5. Adjectives and Participles

6. Adverbs and Prepositions

7. Capulet Semantics

Part II: Verbal Inflections

8. Mediterranean Conjugation

9. Latin Conjugation

10. Turkish Conjugation

11. Hebrew Conjugation

Part III: From Word to Sentence

12. Production Grammars

13. Anaphora

14. Syntactic Calculus

15. Pregroup Grammars

16. Multiple Pregroups

Part IV: Mathematical Background

17. Arithmetic versus Geometry

18. Algebraic Preliminaries

19. Quaternions

20. Infinitesimals

21. What Is a Calculation?

Part V: Speculations about Six Dimensions

22. Classifying Fundamental Particles

23. The Lorentz Category

24. Six-dimensional Special Relativity

25. Six-dimensional Relativistic Quantum Mechanics

26. The Spread of Time

Part VI: Foundations of Mathematics (with Phil Scott)

27. Philosophy of Mathematics

28. G¨odel’s Argument Re-examined

29. Constructive Nominalism

Epilogue

Acknowledgments

References

Linguistics Bibliography

Mathematics Bibliography

Philosophy Bibliography

Physics Bibliography

Index

Index of Names

Index of Terms