Explain the identity by opening its exchanges

Begin beneath the label

“Element,” “electronic state” or “structure” identifies what kind of outcome is being discussed. The author asks the explanation to go further: which internal identities participate, which relations hold them together, and what can reach them from outside?

The outside of one component can be inside a larger whole. A numbered hierarchy gives addresses to those contexts; the actual exchange, constraint or feedback explains how they participate in one another.

Follow a complete route

Choose the identity and the property being preserved or changed. Locate an accessible intervention, identify the mode it reaches, trace its effect on other participants, and follow the consequence back into the starting relation.

A graph edge or a transfer symbol becomes an operating account only when its state variables, carrier, units, conditions, timing and response are specified. This connects the shared I/O/R question to the particular law of the system.

Keep available possibility and reachable change distinct

Source possibility is broader than the states reachable from this starting configuration using these controls and resources. A presently stable band can restrict a route without proving that every other state is impossible.

Increasing one response can support one identity while disrupting another. Record whose continuation improves, what other relation bears the cost, and whether the result remains after the intervention ends.

A small difference can cross a decisive boundary

QuestionWhen can a small relative change decide what becomes reachable?

AnswerA small relative change can be decisive when it crosses a boundary that controls the relevant possibility, as the final unit enables a specified purchase. Relative size and consequential reachability are therefore separate questions.

Explanation

The second discussion approaches the same question through scale. A difference of one between 2 and 3 is large relative to the starting amount; a difference of one between 1,000,000 and 1,000,001 is small by that comparison. Relative change compares the size of the change with the reference scale.

But suppose a hypothetical purchase requires exactly 1,000,001 units. The final unit decides whether that purchase is possible, even though it is a small change relative to a million. We need both questions: how large is the change relative to the whole, and does it cross a consequential boundary?

The same distinction can be investigated at the relational face through which an identity participates in a wider whole. A large internal change may matter little to that wider participation, while a small internal change can be decisive if it changes the relevant relation.

This also clarifies the proposed relation between full possibility and what an identity presently expresses. Its present organization can restrict access to possibilities permitted by the wider structure. A possible configuration and a configuration reachable from this starting condition through available interactions are different questions. Sharing a structural grammar does not by itself show that every target is reachable from every local state.

relative change = size of change / reference scale

Questions to carry forward

Where this belongs in the journey

• Follow the connected course →core
• Explore identities →identities
• Research and questions →research
• Continue with whole part →The teaching journey

Continue a journey