1. The need for theories of measurement and meaningfulness -- 2. Representational measurement theory -- 3. Symmetries and the Erlanger program -- 4. Threshold measurement -- 5. Magnitude production -- 6. Torgerson's conjecture -- 7. Meaningfulness concepts from measurement theory -- 8. Preliminary set theory -- 9. Scientific topics -- 10. Theories of meaningfulness -- 11. Applications, limitations, and generalizations of Axiom System FST