Theory is the architecture of thought rendered visible.
Every structure begins with an assumption. The axiom is not proven — it is declared. It is the first mark on the wall, the line from which all other lines derive their meaning.
"The unexamined premise is the foundation of every collapsing argument."
From axioms, propositions emerge — each one a brick in the logical wall. They stack, they interlock, they bear weight. A proposition without proof is graffiti; a proof without proposition is silence.
The street teaches what the academy forgets: clarity is not simplicity. The neon sign communicates in darkness because it refuses to be subtle.
Proof is the moment theory becomes undeniable. It is the tag that cannot be buffed, the argument that survives every counter. In the alley of ideas, proof is permanence.
The theorem is the culmination — where scattered propositions converge into a single, irrefutable truth. It is the mural that stops traffic, the equation that reshapes understanding.
理論 is not a destination. It is a method. The wall is never finished; the theory is never complete. Each conclusion opens a new alleyway.
What follows from the theorem is infinite. The corollary is the echo in the corridor, the afterimage of neon on wet pavement. It is what remains when the argument ends and the thinking begins.