Math

Math refers to a walled scholarly community and the broader institution of such enclaves that make up the mathic world. The term is used both for a specific place (a math) and for the institution that contrasts with life extramuros (outside the walls).

First introduction and context

Math is introduced alongside a dictionary note contrasting the mathic world with the world extramuros. Within the story, a visiting artisan from outside is interviewed in the New Library inside a math, highlighting the separation between the two worlds and the rules that govern life within the walls.

Practices and Discipline

Life in a math is governed by a Discipline that restricts tools and media. Under the Cartasian Discipline, those inside describe their permitted media as “chalk, ink, and stone,” and they avoid common extramuros devices and communications. Visitors are required to disable such devices and follow instructions closely.

A periodic observance called Apert is associated with maths. Different communities observe Apert on different cycles; at least one is referred to as a Decenarian math, and some avout celebrate Apert only once every hundred years. The precise rules and significance of these cycles have not yet been explained.

Roles and organization

Individuals living within a math are called avout. Local governance and rule enforcement are suggested by references to a Warden Regulant and to a group called the Ita who help manage procedures for visitors. Details of these roles remain to be clarified.

Relationship with the outside world

Maths are distinct from, and often contrasted with, the world extramuros. They are described as protected by a Sæcular Power. Access from outside may be permitted for specific purposes (such as needed repairs) but is tightly controlled, with designated areas and oversight.

Notable features observed so far

• The math visited contains a New Library and a prominent clock visible from within its precincts.
• External recording of events (e.g., using a “speelycaptor”) may be allowed only under strict conditions and supervision.

Further details about the history, structures (such as Decenarian vs. other communities), and the full scope of mathic practices have not yet been established in the text.