Os Livros · Vols I – VI · quatro faces, um só objeto
The Principia Orthogona series is not a textbook. It has four faces — four surfaces of the same mathematical object. You can enter through any of them first. They are not a hierarchy, not a ladder.
This workshop introduces the faces and asks: which one are you? Not everyone learns the same way. The book knows this and offers all four paths in every level.
"Every session leaves one open problem in the student's hands. This is Axiom 9 (Honest Incompleteness) made didactic."
Before the session, watch this 16-minute TED talk by Dan Finkel on what extraordinary math teaching looks like — and why the standard way often fails. The four faces of the Principia Orthogona are a direct answer to the problems he names.
Also recommended: Read Chapter 1 online and notice which face you naturally reach for — do you read first, simulate, try to prove, or want to teach it immediately?
Which of the four faces — Ler, Simular, Provar, Ensinar — is hardest for you in a new language? Does the face change when you switch languages?
Qual das quatro faces é mais difícil para você em um novo idioma?
The book calls you camará — companion in the circle, not student. What changes when you are a companion instead of a student?
O que muda quando você é camará ao invés de estudante?
Axiom 9 is Honest Incompleteness — every session leaves one problem in your hands. What problem has immigration left in your hands that school never prepared you for?
Que problema a imigração deixou em suas mãos que a escola nunca o preparou?
Signups are closed until dates are set. To be told when they are, write to g6llc@proton.me.
Free and open to all. Bilingual. Bring someone with you — the curvature accumulates with more people in the room. We'll connect you with others from the community before the session.