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 PregroupsPart 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 BibliographyMathematics Bibliography; Philosophy Bibliography; Physics Bibliography; Index; Index of Names; Index of Terms
Summary
We look at questions debated by pre-Socratic philosophers, emphasize their linguistic motivation and point out attempted answers by modern physics. We pursue a mathematical treatment of the syntax and morphology of natural languages, investigate the foundations of mathematics and speculate about a quaternionic approach to special relativistic quantum mechanics. (Imprint: Novinka)
