01 · The instrument
The Lathe
Mount a setting and a twist. Watch the construction return a wall, an engine, or silence.
Operate The Lathe Read from the beginningA study in self-reference
Quodlibet.
The same construction.
A boundary, or a power.
g(x) = α(φ(x)(x))
An instrument to operate. A theorem to follow. Enter through The Lathe, then explore the seven sequences and the full collection.
02 · The keystone
The Mirror
Follow the theorem through its proof, its consequences, and the structures that give it force.
Read The Mirror Begin with the proofSeven expanded sequences
Browse every reading →The Diagonal
The construction and its foundations.
11 readings →The Engine
Self-reference as a source of recursion.
6 readings →The Ascent
Proof, reflection, and the climb through theories.
13 readings →The Descent
Models, meaning, and the search for a foundation.
6 readings →The Mirror
The theorem and its six movements.
7 readings →Scholia
The apparatus of the argument.
13 readings →The Annals
The history and the figures behind the construction.
10 readings →The Mirror · Six movements
Read the continuous work, or enter a movement on its own.
01
The Theorem
The structure that makes self-reference possible.
02The Proof
The diagonal construction, one line at a time.
03Where It Lands
The fixed point and its different fates.
04What Grants It
The structures that supply a fixed point.
05The Dial
Turn the twist; follow its consequences.
06The Costumes
One construction in different settings.
The wider collection
Continue the inquiry.
The Diagonal, The Engine, The Ascent, The Descent, Scholia, The Annals, and the earlier editions.
Explore the full collection →Enter the illustrated catalog →The earlier collected Mirror ↗A continuation of the honest lattice