Correction: Dual Logic and Cerebral Coordinates for Reciprocal Interaction in Eye Contact

During typesetting, errors were introduced into the final row of the “Endogenous system” column of Table 1. Please see the corrected Table 1 here.

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

Additionally, there are errors in Eq C4. All uppercase psis (Ψ) should be lowercase (ψ). Please view the corrected equation below.

$$\begin{array}{l}(\pi \oplus \xi \wedge \psi )\wedge (\theta \oplus \psi ) \text{ axiom 3}\\ \pi \wedge \theta \text{ premise}\\ \text{--------------------------------------------------}\\ \neg (\xi \wedge \psi )\wedge \neg \psi \text{ deduction.}\end{array}$$ (C4)

The publisher apologizes for the errors.