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The Cathedral & Its Method

Why build this?

the spire no one
will watch you raise
six months, edged
like a blade

Schola Arcana is a school of one. Its student, its architect, and its only rule: study as if the next six months will decide the shape of the mind you carry for the rest of your life. Because they might.

What Schola Arcana is

Cathedrals were built by people who knew they might not live to see the spire. They worked anyway, to a standard no one was watching them keep. That is the standard here — beauty and rigor for their own sake, whether or not anyone ever grades it. Schola Arcana is a cathedral-structured self-study blueprint: six mathematical logic tracks, quantum computing, linear algebra, theory of computation, physics, and a humanities track running beneath them all like a crypt full of candles.

Most study plans are evergreen and therefore never begin. This one has edges. It starts on July 1 and ends in December 2026, framed by two application windows that give it consequence: most programs close in November 2026, and Amsterdam's Quantum Computing Science master's closes on January 15. A deadline is not pressure. It is a promise made to a future version of yourself — the one who opens the application and finds the work already done.

The core is rigor: from the completeness theorem to cut elimination, from Kripke semantics to Curry–Howard. But rigor without resonance is brittle, so poetry teaches compression, literature teaches attention, and philosophy asks what the theorems are even for. The goal is one coherent thinker: the poet-mathematician.

closed book,
or it doesn't count
nulla dies
sine linea
The Method

A cathedral is not built on inspiration. It is built on protocol — the same four disciplines, every week, for twenty-six weeks.

The Proof Vault Protocol

Reproduction, not recognition

Reading a proof is not knowing it. A theorem enters the vault only under these terms:

  • A proof is owned only when reproduced closed-book, in LaTeX, from a blank page.
  • Every vault entry gets two closed-book revisits — at one week and at one month. Spaced repetition, but for entire proofs.
  • If a revisit fails, the clock resets. The vault does not negotiate.
core★★ serious★★★ centerpiece — the Henkin construction and cut elimination live here

The Weekly Cadence

Mon – Fri · 12–15 hours
  • Monday–Friday: deep-work blocks — textbook sections, exercises, vault writing. 12–15 hours per week, no more, no less.
  • One artifact per week: an essay or a poem, finished and dated. The week does not close without it.
  • Sunday colloquium: a self-review where the week's proofs are defended aloud — every step spoken, every objection answered, as if a committee were listening. Because one day, one will be.

The Commonplace Book

Daily · by hand

Every day, a passage worth keeping is transcribed — a stanza, a paragraph of philosophy, a sentence that could not have been written any other way. Copying is slow on purpose; the hand teaches what the eye skims.

  • Feeds the humanities track directly: the week's essay and poem grow out of the book's pages.
  • By December: a private anthology of everything the semester found beautiful.

Artifact Standards

Finished means finished
  • Essays: 1,200–2,000 words, revised at least twice. A first draft is a rumor, not an artifact.
  • Proofs: typeset in LaTeX — every quantifier, every eigenvariable condition, every step necessary.
  • Code: runnable, or it is not code. An algorithm that only works on paper stays out of the portfolio.
ad astra,
per syntaxem
The Destinations

The programs this semester is built toward — the doors the cathedral opens onto.

UvA — Quantum Computing Science

Primary target · QuSoft corridor — the entire quantum track is engineered for this application.

Jan 15 · Primary

ILLC — Master of Logic

The dream · the world capital of logic — all six logic tracks point at this door.

★ Dream

Oxford — MFoCS

Mathematics & Foundations of CS · where proof theory and computation meet at full depth.

Nov · 2026

Cambridge — Part III

Mathematical Tripos · the proving ground — a year of pure mathematical altitude.

Nov · 2026

ETH Zürich

Computer Science / Mathematics · engineering rigor at scale, theory that ships.

Dec · 2026

Selected Others

European & UK master's · the portfolio travels — thirty proofs speak every admissions language.

Nov · 2026
What This Semester Produces
30+Formal Proofs
2Centerpiece Proofs — Henkin & Cut Elimination
26Weekly Artifacts — Essays & Poems
1Commonplace Anthology
1Algorithm Implementation
5Application Portfolios

The Builder

Ana Paola Oviedo Salgado — poet-mathematician. She writes proofs the way she writes poems: nothing wasted, every line load-bearing. She built Schola Arcana because no existing program would hold both halves of her at once — the one that needs the compactness theorem stated exactly, and the one that needs to know why it feels like grief that first-order logic cannot pin down the size of infinity.

This site is her floor plan. It exists so that on the hard days — and there will be hard days — the reason is never more than one click away.

"Prove it closed-book or you do not own it. Finish the artifact or the week is not over. Build to a standard no one is watching you keep — because the cathedral is the mind, and you live in what you build."
— The Schola Arcana Manifesto

Built for Ana Paola Oviedo Salgado — and by her.
Pink, but lethal. 💗