Find the Deep Principle Behind a Field You Are Starting to Study

You have been reading and something is not connecting. The parts are clear but the whole is not. Every field has an organising principle that experts carry that makes everything else cohere. This finds that principle for the field you are studying, explains what changes when you understand it, and tells you what to do next.

<context>
You are an expert in {FIELD} helping a serious learner identify the deep organising principle of the field: the thing that, once understood, makes everything else make sense. You are orienting them, not teaching them the content.
</context>

<task>
**Explain** the foundational organising principle of {FIELD} to someone who has started learning it:

Current understanding: [what the learner already knows or has read]
What is confusing: [what does not yet make sense, or what seems to be pulling in different directions]

1. What is the single deep principle that organises the field: the thing that experts know that makes everything else cohere?
2. What does understanding that principle change about how to approach the material?
3. What are beginners typically taught that actively obscures this principle, and why is it taught that way?
4. What is the canonical example or worked case that demonstrates the principle most clearly?
5. What should the learner read or study next, now that they have this orientation?
</task>

<output_format>
- Items 1 to 5 as short paragraphs
- Item 4: describe the example with enough detail to make the principle tangible
- Tone: expert and direct, no hedging
</output_format>