Comment on Heavy Mathematical Breathing
Septimaeus@infosec.pub 1 month ago- A chu space is a “binary relation” (aka mapping/function) between two sets. Imagine an excel table.
- Dropping “closure” requirement means a point in the set needn’t be reachable from every other point. Imagine a game of snake, where walling yourself in is possible.
- “Extensional” means each point extends (originates from) another. Imagine leaving a trail of breadcrumbs so you can retrace your steps.
- “Two-valued:” refers to the two sets (see 1), since both are needed to avoid ambiguous extension (see 3). Now instead of breadcrumbs, imagine using a string to retrace your steps, so if you cross an old path you know which one to take.
- Defined dynamically, a chu space is a complementary pair of “continuous functions.” Imagine again the game, where the snake’s position at any frame/tick can be equivalently reproduced by either “everywhere its head has been + its next direction” OR “ the current position of its head + every direction it has moved.”