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7/7/2025, 8:30:16 PM
>>24529417
A graph is a mathematical object.
https://en.wikipedia.org/wiki/Graph_(discrete_mathematics)
Here the graph is directed (links are oriented, they are arrows) and hopefully, it is also acyclic.
Resource theories describe rules of compositions to build transformation processes such as recipes. The graph is a way to represent the position of a transformation step in this process (in time) as a precedence relationship in the graph (in space).
What we call resources are things that are either consumed or produced during those processes. The need for a formal definition arouse out of the fact that many things behave like resources surprisingly. For instance randomness: https://stackoverflow.com/questions/20959924/what-is-entropy-starvation
This formal definition of a resource is where things get truly interesting, because it applies to more than just objects or data. We ourselves are resources in transformation graphs. A personal story, an adventure, or a trauma is a transformation process. An older version of you is the input; a new version is the output. That old self has been consumed by the experience, and you know it has been consumed precisely because there is no narrative arc that can take you back. The arrow only points forward.
A graph is a mathematical object.
https://en.wikipedia.org/wiki/Graph_(discrete_mathematics)
Here the graph is directed (links are oriented, they are arrows) and hopefully, it is also acyclic.
Resource theories describe rules of compositions to build transformation processes such as recipes. The graph is a way to represent the position of a transformation step in this process (in time) as a precedence relationship in the graph (in space).
What we call resources are things that are either consumed or produced during those processes. The need for a formal definition arouse out of the fact that many things behave like resources surprisingly. For instance randomness: https://stackoverflow.com/questions/20959924/what-is-entropy-starvation
This formal definition of a resource is where things get truly interesting, because it applies to more than just objects or data. We ourselves are resources in transformation graphs. A personal story, an adventure, or a trauma is a transformation process. An older version of you is the input; a new version is the output. That old self has been consumed by the experience, and you know it has been consumed precisely because there is no narrative arc that can take you back. The arrow only points forward.
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