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Everything in Intuition starts with an atom, the smallest unit of knowledge.
An atom can be anything: this one is a person.
SpaceX is an atom too.
This one is an organization.
Even “founder of” is an atom.
One that relates two others is called a predicate.
Connected, three atoms form a triple: a subject, a predicate and an object.
Together they read: Elon Musk is the founder of SpaceX.
An object can also be a subject.
SpaceX is the object of one triple and the subject of the next, so it is drawn as both: a hexagon.
xAI now plays both roles too, so it becomes a hexagon.
Linked like this, triples form a graph: one web of knowledge that grows with every triple.
Triples can also be about other triples.
Look closer at what Elon Musk believes: not one thing, but a whole triple, in the place of the object.
That triple breaks into its parts, and holds one of its own: a triple can stand in the place of any object.
Each part becomes an atom. Triples nest without limit, so a whole thought becomes one triple:
Elon Musk believes SpaceX will be worth orders of magnitude more than the current Earth economy.
Any atom can start a triple of its own: the current Earth economy is estimated at $100+ trillion.
Now the object of one triple and the subject of another, it becomes a hexagon.
A whole triple can be the subject of another, too.
What Elon Musk believes is sourced by a Tweet (opens in a new tab), posted on 8 October 2026.
Every triple has two vaults, one against it and one for it.
Anyone can take a position by depositing into either, and the positions give the triple its weight.
A triple is a claim, not a fact: its weight shows how many stand behind it, and how much.
Back in the graph, one triple says xAI is the best AI company.
Anyone can say the same of another.
Triples that share a predicate and an object form a list.
Each triple in a list has vaults of its own, and so a weight of its own.
The positions in each triple’s vaults rank the list: the more weight, the higher it stands.
Everything so far is one graph: every atom and triple, on one graph.
The same atoms can be seen another way.
Two perspectives of the same atoms: what you see depends on whose triples you trust.
Everything in Intuition starts with an atom, the smallest unit of knowledge.
An atom can be anything: this one is a person.