Theorem 1. 理論 (riron) — All knowledge is theoretical until tested, and all tests are theoretical until understood.
Proof.

Consider any proposition P. The assertion of P requires a framework of understanding — a theory T within which P has meaning. Testing P produces observation O, but interpreting O requires T. Therefore, knowledge and theory are mutually constitutive.

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Theorem 2. A network of theories is stronger than any single theory, as connections reveal what isolation conceals.
Proof.

Let T₁, T₂, ..., Tₙ be independent theories. Each Tᵢ explains phenomena within its domain Dᵢ. When connected through shared principles, the network N = {T₁, ..., Tₙ} reveals patterns in D₁ ∩ D₂ ∩ ... ∩ Dₙ invisible to any single theory. The network exceeds the sum of its parts.

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Theorem 3. The purpose of theory is not to be correct, but to be useful — a framework for asking better questions.
Proof.

History demonstrates that successful theories are eventually superseded. Newtonian mechanics gave way to relativity. Classical logic gave way to intuitionistic logic. Yet each theory, while active, generated questions that advanced understanding. A theory's value is measured not in its permanence but in its generativity. The network grows.

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