Table 1. The dual logic.

	Exogenous system	Endogenous system
Stimulus States σ	p = “I see eyes, direct or averted gaze”	π = “I mentalize eyes”
	q = “I see face without eyes”	θ = “I mentalize face without eyes”
Response States Ω	x = “exogenous reciprocal social response”	ξ = “endogenous reciprocal social response”
	y = “exogenous non-reciprocal affective response”	ψ = “endogenous non-reciprocal affective response”
Axioms	p ↔ x ∨ y	π ⊕ ξ ∧ψ
	q ↔ y	θ ⊕ψ
Transformations	A: p ∨q ⇒ x ∨y
	B: q ⇒ y
	A-B: (p ∨q) ∧¬ q ⇒ x ∧¬ y	0
	B-A: q ∧¬ (p ∨q) ⇒ 0	B-A: π ∧θ ⇒¬ ξ ∧ ψ ∧¬ψ