List of Tables

Table 1. Historical and possible regime forms evaluated against The Tao of Lucidity’s five political touchstones — XI · Political Philosophy
Table 2. Concept-level correspondence between reinforcement learning and The Tao of Lucidity’s agent model — XIV · Intelligence and Wisdom
Table 3. Three civilizational destinies derived from the constraint that pattern-awareness, mystery-awareness, and unawareness together exhaust the whole — XV · Civilizational Lucidity
Table 4. The seven canonical regions unfolded across individual, social, and civilizational scales — XV · Civilizational Lucidity
Table 5. Six philosophical voices forming a complete spectrum from inside reason to beyond reason — XVII · Philosophical Genealogy and Position
Table 6. The Tao of Lucidity’s philosophical lineage at a glance — XVII · Philosophical Genealogy and Position
Table 7. Seven classical dualisms of Western philosophy and The Tao of Lucidity’s dissolution of each — XVII · Philosophical Genealogy and Position
Table 8. The invariant structure of obscuration across three historical eras — XVII · Philosophical Genealogy and Position
Table 9. Foundational influences on The Tao of Lucidity — XX · Principal Intellectual Sources
Table 10. Structural influences on The Tao of Lucidity — XX · Principal Intellectual Sources
Table 11. Dialogical influences on The Tao of Lucidity — XX · Principal Intellectual Sources
Table 12. Compact source index for the main intellectual lineages of The Tao of Lucidity — Appendix A · Philosophical Sources and Lineage
Table 13. Marginal returns of four candidate operators under the linear reciprocity test — Appendix B · Mathematical Formalization
Table 14. Seven canonical regions of the lucidity landscape — Appendix B · Mathematical Formalization
Table 15. Seven canonical regions of the parameter simplex \(\Delta = \{(\lambda,\xi,\delta) : \lambda+\xi+\delta = 1\}\) — Appendix B · Mathematical Formalization
Table 16. Three agents with starkly different lucidity despite similar total awareness — Appendix B · Mathematical Formalization
Table 17. Mathematical portraits of the three archetypal images projected onto the \((\lambda, \xi)\) plane — Appendix B · Mathematical Formalization
Table 18. Numerical table accompanying the preceding scatter plot, listing each thinker's estimated \((\lambda, \xi)\) coordinates and resulting \(\mathcal{M}\) — Appendix B · Mathematical Formalization
Table 19. Lucidity ceiling \(\mathcal{M}_n^*\) as a function of the number of orthogonal faces \(n\) under the richness constraint \(\sum x_i^2 = 1\) — Appendix B · Mathematical Formalization
Table 20. Five admissible lucidity operators compared across seven criteria: gradient shape, symmetry, practical ceiling as \(\delta \to 0\), values at two representative agents (balanced seeker and arrogant scientist), the implied imbalance penalty, whether mutual bootstrapping holds, and whether \(n = 2\) is optimal — Appendix B · Mathematical Formalization
Table 21. The five fundamental mathematical objects appearing in the master equation and the precise ontological meaning The Tao of Lucidity assigns to each — Appendix B · Mathematical Formalization
Table 22. Classification of fixed points for the multi-agent lucidity dynamics — Appendix B · Mathematical Formalization
Table 23. Five canonical network topologies compared by the scaling of the Fiedler value \(\mu_2\) (algebraic connectivity), synchronization speed, fragmentation resistance, and a representative The Tao of Lucidity-relevant example — Appendix B · Mathematical Formalization
Table 24. Physical and mathematical principles absorbed into The Tao of Lucidity — Appendix B · Mathematical Formalization
Table 25. Three-Body Problem concepts mapped to The Tao of Lucidity — Appendix B · Mathematical Formalization
Table 26. The cosmic payoff matrix for the two-civilization broadcast game — Appendix B · Mathematical Formalization