Theorem · Chain Position 91 of 346

VIRTUE AS HIGH PHI

** Sin → coherence decrease (measurable decoherence signature).

Connections

Assumes

  • None

Enables

  • None
Objections & Responses
Objection: "Clever villains can be highly integrated"
"A master criminal plans coherently. Integration doesn't imply virtue."
Response

Planning coherence ≠ [[090_D11.1_Moral-Coherence-Definition|moral coherence]]. A criminal's plans may be internally consistent while being DISCONNECTED from larger reality (the Logos). True Φ measures integration with ALL relevant information, including moral structure. A criminal's coherence is local and isolated; genuine Φ includes [[011_D2.2_Chi-Field-Properties|χ-field]] coupling. Evil is high local coherence with global disconnection—ultimately lower total Φ.

Objection: "Saints often suffer mental anguish"
"The dark night of the soul shows fragmentation in holy people."
Response

Subjective experience of fragmentation ≠ actual low Φ. The dark night is often a transition state—old patterns decohere as new, higher-coherence patterns form. Like metamorphosis: the caterpillar dissolves before becoming a butterfly. The PROCESS includes apparent disorder; the DIRECTION is toward higher coherence. Also, holiness doesn't mean freedom from suffering but integration of suffering into meaning.

Objection: "Virtue is about will, not information"
"Goodness is choosing rightly, not having integrated information."
Response

Will and information are not separate. To will rightly, you must perceive correctly—see the good clearly. Higher Φ means seeing more connections, understanding more implications. Virtue requires wisdom; wisdom requires integration. The will follows the intellect (Aquinas); the intellect operates through integrated information. Virtue IS informational.

Objection: "This seems to privilege the intelligent"
"Are smarter people automatically more virtuous? That's elitist."
Response

Φ is not IQ. Integrated information measures coherence of experience, not raw processing power. A simple person with unified purpose can have higher Φ than a brilliant but fragmented academic. "Blessed are the pure in heart"—purity is unity, not complexity. Many great saints were simple; their simplicity was integration, not deficiency.

Objection: "Define 'virtue' without circularity"
"You're defining virtue as high Φ and high Φ as virtue. That's circular."
Response

The definitions are independent. Φ is defined information-theoretically (IIT: integrated information above and beyond partitioned components). Virtue is defined traditionally (habits that conduce to human flourishing, alignment with the Logos). The CLAIM is that these independently-defined concepts correlate empirically and necessarily. The correlation is discovered, not stipulated.

Physics Layer

IIT and Virtue

Integrated Information Theory (Tononi):

\Phi = \min_{partition} I(whole) - I(parts)

Φ measures: How much the whole exceeds the sum of parts.

Virtue as integration:

  • Prudence: integrating knowledge for wise decision
  • Justice: integrating claims of self and other
  • Temperance: integrating desires with reason
  • Fortitude: integrating fear with purpose

Each cardinal virtue IS an integration operation.

Mathematical Layer

Formal Statement

Theorem ([[091_T11.1_Virtue-As-High-Phi|T11.1]]): For a soul state ψ, virtue V(ψ) correlates positively with Φ(ψ):

\frac{dV}{d\Phi} > 0

Or equivalently: V(ψ) = f(Φ(ψ)) for some monotonically increasing f.

Defeat Conditions

To Falsify This

  1. **Show virtue decreases Φ** — Demonstrate that virtuous actions reduce [[038_D5.2_Integrated-Information-Phi|integrated information]]
  2. **Find high-Φ vicious states** — Show stable vice configurations with maximal coherence
  3. **Decouple virtue from coherence** — Prove moral goodness has no relationship to information integration
  4. **Show incoherent saints** — Find genuine holiness in fragmented, chaotic states