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Contrast: the idea of a point lying on something

Vectornaut 2025-01-24 19:36:13 +00:00
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Elements-and-observables.md

@ -7,7 +7,8 @@ Elements don't interact directly with each other, and constraints don't interact
Elements | Observables
---|---
Naturally seen as geometric objects | Naturally seen as quantities
No notion of valence; can interact with any number of constraints | Many important observables have fixed valence
It always makes sense to ask whether a point lies on an element | It rarely makes sense to ask whether a point lies on an observable
No notion of valence; can interact with any number of constraints | A valence can be usefully and naturally assigned to many key observables
An assembly consisting entirely of elements seems meaningful and potentially useful | An assembly consisting entirely of observables seems hard to interpret
***To do:** Expand and clarify list of contrasts.*