Six terms carry the book’s architecture. The rest are introduced as they arrive. A full glossary appears at the back.

The Smaller Infinity. The combinatorial depth that exceeds spatial extent. The vanishingly small subset of all possible arrangements that means something, vanishingly small and still infinite.

The Gradient. The universe started hot and is cooling. Everything interesting happens on the way down. The gradient’s asymmetry funds the loops. It is finite.

Loops. The universe runs three kinds of loops, each enabled by the prior. Accumulation loops gather matter through gravity and angular momentum. Encoding loops write, read back, vary, and select: chemistry, then DNA. Cognitive loops run internal models in parallel with the world. Language is the tool deposited at the crossing between encoding and cognition, not a fourth loop type.

Combustion Edge. The narrow band between frozen and chaotic where pattern destruction funds pattern creation. Life, thought, and collaboration all operate here.

Grace and Ash. A lie requires a working vocabulary. The vocabulary does not require the lie. That asymmetry runs through every substrate: the parasite needs the host, the host does not need the parasite. What compounds can exist without what extracts. What extracts cannot exist without what compounds. The book calls the compounding direction grace and the undirected remainder ash.

The Accurate Dictionary. Extraction is parasitic on accuracy, not the reverse. Accurate language can exist without inaccurate language; inaccurate language cannot exist without accuracy to borrow from. That dependency is the floor under the medium, not the lean itself. The lean appears in behavior: whether a configuration feeds the larger loops it depends on or strips them. It cannot be read as a statistical tendency in the distribution of texts. The distinction is developed in Grace Compounds.