Read a mathematical model
Learn to read the Atlas one operation at a time: symbols, valid inputs, scales, composition, and the meaning of a result.
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Explore this path Consciousness Atlas · Learning studio
From a symbol
to understanding.
Learn the mathematics, trace the AI builds, and read the evidence. One idea, one worked example, one experiment at a time.
New here? Start with the symbols. Every path stays open, so you can also begin with the topic you need.
Try an idea before you read it
How close is close?
Change the input. Watch distance from one turn into a score.
Teaching model · computed in your browser
Distance from unity
Move the input, watch the distance from 1 change, and calculate the score yourself.
x is a real input and |x − 1| is its absolute distance from 1. The displayed domain is −3 ≤ x ≤ 5; the mathematical function is defined for every real x.
Try this: compare x = 0 and x = 2. Why do they produce the same score?
The default worked example is shown below.
Distance |x − 1|0
Unity score1
Maximum1Reached only at x = 1
Substitute, then simplify: U(1) = 1 ÷ (1 + 0) = 1. Equal distances on either side of 1 give equal scores. A score of 1 is a property of this function; it is not evidence of consciousness.
| x | Distance from 1 | U(x) |
|---|---|---|
| -1 | 2 | 0.3333 |
| 0 | 1 | 0.5 |
| 1 | 0 | 1 |
| 2 | 1 | 0.5 |
| 3 | 2 | 0.3333 |
5 learning paths25 guided lessons100 practice questions7 working labs
Choose a direction
A path through the ideas.
Start with the foundations or choose a question you want to answer. Each path connects back to the original research.
Information and partitions
Build from uncertainty to exact small-system partition search, then read the normalized MIP study with the right definitions.
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Explore this path Optimization and learning
See gradients move a state, investigate bad step sizes, and connect controlled updates to the project’s optimization records.
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Explore this path Understand the AI and AGI builds
Follow components, memory, state, and revision history through the recovered SEFERIM, Rhiannon, and Pantheon records.
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Explore this path Evaluate the research
Turn a broad claim into a testable question, choose meaningful baselines, and read results without outrunning the evidence.
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Explore this path Learn by doing
Try it. Check it.
Make the next connection.
Practice gives you specific feedback, hints when you need them, and a way to revisit ideas. Your reading and independent answers are tracked separately.
- 01
Build an intuition
Read a focused explanation with an example from the project.
- 02
Change something
Adjust a parameter, follow an update, or compare possible outcomes.
- 03
Explain the result
Check your answer and connect the result to what the evidence supports.
The complete research atlas
Keep the source in sight.
The learning paths sit alongside the complete recovered archive: 2,910 mathematical records, 292 builds, 77 generations, and 15 manuscript editions.
Enter the research archiveProgress is kept in this browser. How learning works