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Formal Semantics of Self-Similar Access Systems

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  Formal Semantics of Self-Similar Access Systems  Table of Contents Preface Purpose and scope Why formal access systems require semantic separation Why self-similarity is structural rather than inherently semantic From recursive carriers to semantic clouds Why local meaning cannot be replaced by global averaging Why pairwise failure does not establish higher arity Why validation must remain distinct from authority Notation, symbols, and operator conventions How to read the formal, semantic, computational, and institutional layers Part I — Foundations: Source, Structure, and Semantic Sovereignty 1. Structure Is Not Meaning 1.1 Structural possibility versus semantic commitment 1.2 Formal substrate versus interpreted system 1.3 Semantic underdetermination 1.4 Why geometry does not determine institutional function 1.5 Why recurrence does not determine identity 1.6 Why hierarchy does not determine authority 1.7 Why reachability does not determine permission 1.8 Why similarity does...
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TSCT Planetary-System Class Derivation

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  TSCT Planetary-System Class Derivation TSCT type Constitutive organization Dominant partition Envelope Exterior state Consequential separator Rough analogue P1 Exposed condensed body Rock/metal dominated Negligible Condensed surface No load-bearing volatile/H-He envelope Rocky planet P2 Volatile-condensed body Rock/metal + major volatile condensed phase Minor/non-dominant Ice/ocean/high-pressure volatile boundary Volatile inventory reorganizes structure while condensed phases remain dominant Ice/ocean world P3 Envelope-bearing condensed body Condensed interior dominates mass Structurally consequential but subordinate No exposed condensed surface Envelope becomes load-bearing for radius/thermal evolution Sub-Neptune P4 Envelope-dominated heavy-element body Heavy-element interior remains major Deep fluid envelope Fluid exterior Envelope controls bulk behavior but heavy-element fraction remains constitutive Uranus/Neptune-like P5 H/He-dominated giant H/He dominates mass and volume S...
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Limits of Mathematics

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Limits of Mathematics Formal, Computational, Representational, and Empirical Boundaries Part I — What Does “A Limit of Mathematics” Mean? Limits of Mathematics From Formal Boundaries to Frontiers of Mathematical Reconstruction Preface — What Would It Mean for Mathematics to Have a Limit? 0.1 Mathematics is not identical to formal logic 0.2 Impossibility, ignorance, intractability, nonconstruction, and representation failure 0.3 failure ≠ impossibility 0.4 local closure ≠ global closure 0.5 existence ≠ construction 0.6 representation ≠ source 0.7 Limits as moving frontiers rather than terminal walls 0.8 The central question: does mathematics possess global limits, or only carrier-relative frontiers? Part I — The Object Whose Limits Are Being Tested 1. What Is Mathematics? 1.1 Mathematics as formal system 1.2 Mathematics as construction 1.3 Mathematics as structural discovery 1.4 Mathematics as representation 1.5 Mathematics as transformation between representations 1.6 Mathematics as pr...
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