List of Tables

Table 1. For each of PP1–PP5: the premises cited in its statement, the object in which each premise is itself derived or declared, and the place where its political consequence is developed further — X · Social and Political Principles
Table 2. Historical and possible regime forms evaluated against Lucidosophy’s five political touchstones — XI · Political Philosophy
Table 3. Concept-level correspondence between reinforcement learning and Lucidosophy’s agent model — XIV · Intelligence and Wisdom
Table 4. Three civilizational destinies derived from the constraint that pattern-awareness, mystery-awareness, and unawareness together exhaust the whole — XV · Civilizational Lucidity
Table 5. The seven canonical regions unfolded across individual, social, and civilizational scales — XV · Civilizational Lucidity
Table 6. Six philosophical voices marking six positions from inside reason to beyond reason — XVII · Philosophical Genealogy and Position
Table 7. Lucidosophy’s philosophical lineage at a glance — XVII · Philosophical Genealogy and Position
Table 8. Seven classical dualisms of Western philosophy and Lucidosophy’s dissolution of each — XVII · Philosophical Genealogy and Position
Table 9. The invariant structure of obscuration across three historical eras — XVII · Philosophical Genealogy and Position
Table 10. Ten places where the framework granted something in order to proceed, with the disclosure site and the price a reader pays for refusing the grant — XIX · Methodological Integrity
Table 11. Foundational influences on Lucidosophy — XX · Principal Intellectual Sources
Table 12. Structural influences on Lucidosophy — XX · Principal Intellectual Sources
Table 13. Dialogical influences on Lucidosophy — XX · Principal Intellectual Sources
Table 14. Compact source index for the main intellectual lineages of Lucidosophy — Appendix A · Philosophical Sources and Lineage
Table 15. Marginal returns of four candidate operators under the linear reciprocity test — Appendix B · Mathematical Formalization
Table 16. Seven canonical regions of the lucidity landscape — Appendix B · Mathematical Formalization
Table 17. Seven canonical regions of the parameter simplex \(\Delta = \{(\lambda,\xi,\delta) : \lambda+\xi+\delta = 1\}\) — Appendix B · Mathematical Formalization
Table 18. Three agents with starkly different lucidity despite similar total awareness — Appendix B · Mathematical Formalization
Table 19. Mathematical portraits of the three archetypal images projected onto the \((\lambda, \xi)\) plane — Appendix B · Mathematical Formalization
Table 20. Numerical table accompanying the preceding scatter plot, listing each thinker's estimated \((\lambda, \xi)\) coordinates and resulting \(\mathcal{M}\) — Appendix B · Mathematical Formalization
Table 21. 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 22. Four admissible lucidity operators and one contrast operator 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 23. The five fundamental mathematical objects appearing in the master equation and the precise ontological meaning Lucidosophy assigns to each — Appendix B · Mathematical Formalization
Table 24. Classification of fixed points for the multi-agent lucidity dynamics — Appendix B · Mathematical Formalization
Table 25. Five canonical network topologies compared by the scaling of the Fiedler value \(\mu_2\) (algebraic connectivity), synchronization speed, fragmentation resistance, and a representative Lucidosophy-relevant example — Appendix B · Mathematical Formalization
Table 26. Physical and mathematical principles absorbed into Lucidosophy — Appendix B · Mathematical Formalization
Table 27. Three-Body Problem concepts mapped to Lucidosophy — Appendix B · Mathematical Formalization
Table 28. The cosmic payoff matrix for the two-civilization broadcast game — Appendix B · Mathematical Formalization