James Form

First and foremost, James forms are void-based.

Void is intended to look like what it means. It literally does not exist. In text the label void is a something, it’s a word. Words are not nothing. They support reference and eventually communication.

In contrast, nothing is not something, it does not support reference. Void is in our shared descriptive meta-language, however it is not part of the James System.

Void-equivalent Structures and patterns are irrelevant to meaning. These forms exist solely in Notation. Void-equivalent forms are illusions that arise from an empty page. Void-equivalence implies that

Absence has no properties.

Containers are permeated with void forms.

Void-equivalent forms are Background potentia. They can be freely created and deleted.

Empty containers can be seen as Units.

Transformations create and delete structure.

James forms are Containers with these properties

Forms are patterns of containment.

Forms are patterns of physical containers.

A Container is an Object from the Outside and a Process from the Inside.

Contents are mutually independent.

A Calculus consists of a notation for representing objects, a collection of permitted transformations and a collection of basic facts. We are representing physical containers by delimiting boundaries and basic facts by empty containers. Common use of numbers and arithmetic can be seen as putting things into containers and rearranging those containment relations by following the pattern rules defined by the three James structural axioms.

The Physicality of Containers means that we can viscerally interact with James forms. We can elect, for instance, to build James forms out of physical objects such as blocks, or out of physical enclosures such as rooms. The James axioms define the coordinated behavior of various patterns of containment. A sequence of structural transformations can be animated. The creation, deletion and rearrangement acts that constitute both proof and computation can be presented in videos as dynamic animations. Many transformations can happen at the same time since (other than containment) each container is independent of the others.