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Completeness Theorem
[!φ]Kᵢψ ↔ (φ → Kᵢ[!φ]ψ)
Cut Elimination
AC ⟺ Zorn
Cantor: |P(X)| > |X|
CHSH ≤ 2 < 2√2
Curry–Howard
Adjoint Functors
Elite · Rigorous · Immersive

Schola Arcana

Cathedral Semester · July 1 — December 2026

Step into an ancient library at midnight. Six months, six logic tracks, quantum computing, and the humanities — a blueprint rigorous enough to be beautiful.

Enter the Cathedral
SCROLL ▾
We are all in the gutter, but some of us are looking at the stars.
— Oscar Wilde
six months, kept to a standard no one is watching
The Arc

Six Months

Logic and quantum run the length of the semester; mathematics feeds them; the humanities run beneath it all. Two application windows give the whole thing consequence.

JulFOUNDATIONS
AugBUILD
SepDEPTH
OctSYNTHESIS
NovAPPLY
DecSHIP
Mathematical Logic — 6 tracks
Quantum Computing
Linear Algebra · TOC · Physics
Humanities — throughout
Applications
Jul 1 — Begin Aug — First proofs Oct 15 — Midpoint Nov 15 — Applications Dec 1 — Final artifacts Jan 15 — UvA QCS
12–15Hours / Week
6Logic Tracks
30+Formal Proofs
5Target Programs
The Disciplines

Seven Fields of Study

One card per field. Each opens onto its full map — phases, textbook chapters, and Proof Vault targets.

FIELD I · ★ CORE

Mathematical Logic

Six tracks: first-order logic & incompleteness, modal & epistemic logic, set theory, model theory, proof theory, category theory.

Enderton · Blackburn · Smullyan · Marker · Troelstra · Mac Lane
Weeks 1–28Open track →
FIELD II · ★ PRIMARY

Quantum Computing

Qubits & superposition through Shor, Grover, quantum information, and error correction. The path to UvA QCS.

Nielsen & Chuang · de Wolf · Preskill
5 phasesOpen track →
FIELD III

Linear Algebra

The engine beneath quantum mechanics. Vector spaces, operators, spectral theorem — done abstractly and properly.

Axler — Linear Algebra Done Right, Ch. 1–8
5 phasesOpen track →
FIELD IV

Theory of Computation

Automata, computability, and complexity — from finite machines to the halting problem to the class BQP.

Sipser — Introduction to the Theory of Computation, Ch. 1–9
Automata → BQPOpen track →
FIELD V

Physics

The physical soul of the quantum track. Postulates, the Born rule, Bell inequalities, and entanglement.

Preskill notes · Sakurai (selected)
FoundationsOpen track →
FIELD VI

Humanities

A 26-week gothic & romantic seminar: the Romantic poets, Frankenstein, Poe and the Brontës, Homer and Dante's descent, the Russians, the absurd, and the Bard.

Keats · Mary Shelley · Poe · Brontë · Dante · Dostoevsky · Kafka · Shakespeare
Weeks 1–26Open track →
built proof by proof, poem by poem

This is not a course list. It is a cathedral — built proof by proof, poem by poem, to a standard no one is watching me keep.

Logic teaches honesty. Quantum teaches strangeness. Poetry teaches precision. Together they make you dangerous — the kind of thinker who can prove the completeness theorem in the morning and write something true about it by night.

Six months from now there will be thirty proofs, a portfolio, and an application to the programs that matter. This page exists so that on the hard days, the reason is never more than one click away.