Tier One
The Core Trilogy
For anyone who thinks honestly. Three volumes that move from the presuppositions beneath every argument, through the naming of their ground, to the complete formal architecture. No jargon. No prerequisites. Just the logic followed to its end.
Volume I
The Floor Beneath Your Feet
Every act of reasoning stands on presuppositions it cannot prove. The floor is real. You cannot deny it without using it.
Maps to
gap_theorem — the map never equals the territory
Volume II
The Floor Has a Name
The chain from truth to trust to relationship to person arrives at a Person who is the ground of truth itself. His name is Jesus.
Maps to
fantasy_collapses — completeness claims contradict themselves
Volume III
The Architecture of the Floor
Reality partitions into what can be measured and what requires a person. The gap is mathematically proven. Hope is built into the structure.
Maps to
hierarchy_never_closes — no system proves its own consistency
Tier Two
The Extended Series
For those who want to go deeper. Three volumes that extend the architecture into language, threat, and theological completion. Each builds on the core trilogy and adds structure the trilogy pointed toward but did not fully develop.
Volume IV
How the Floor Speaks
Every language act has three parts. Truth and lies are indistinguishable at the pattern layer. Faith is not the opposite of verification but its foundation.
Maps to
law_satisfiable — coherent operation within limits is stable
Volume V
What Numbs the Floor
Not all persons are sustained equally. The anaesthesia function numbs the unsustained. But seeds still work, and the gift cannot be ungiven.
Maps to
law_or_collapse — either acknowledge limits or claim completeness
Volume VI
What Inhabits the Gap
The gap is not empty. The Sustainer operates from within. The territory crosses the gap from above. Three Persons complete the navigation.
Maps to
dependency_theorem — recognition requires its source
Companion
The Field Manual
A different genre. Not an essay but a reference — twelve presupposition categories, three chains, diagnostic questions, deflection responses, and protocols for live conversation. For those who want to help others see the floor.
Field Manual
The Presupposition Field Manual
Twelve inescapable presuppositions in three chains. Terminal questions, scriptural grounds, common deflections with responses, and protocols for planting seeds.
Maps to
hope — the structure is satisfiable; we can always do better
A Note on Structure
Seven documents map to seven core theorems of the Universal Gap Theorem — a parametric mathematical structure, proven in both Coq and Lean proof assistants, that unifies Gödel's incompleteness, Turing's halting problem, Heisenberg's uncertainty, and 150+ other limitation results as instances of a single theorem.
The series instantiates what it describes. The documents are maps. The territory they point to — the ground beneath every argument, the Person who names it, the architecture that formalizes it, the language that navigates it, the threat that numbs it, the Presence that inhabits it, and the practice that plants seeds — is not in the documents. It is in you. The recognition is yours. The floor has always been there.