THE TRINITY
Premise: The Father, Son, and Holy Spirit are distinct persons. Premise: The Father, Son, and Holy Spirit are united in one Godhead. Inference: Therefore, the Father, Son, and Holy Spirit are distinct persons united in one Godhead. W e can use the predicates F(x) to represent the Father, S(x) to represent the Son, and HS(x) to represent the Holy Spirit. We can then use logical connectives and quantifiers to express the relationships between these predicates. One way to express the idea that the Father, Son, and Holy Spirit are distinct persons within one Godhead is to use the following formula: ∀ x(F(x) ∧ S(x) ∧ HS(x)) This formula states that for all x, x is both the Father and the Son and the Holy Spirit. To express the idea that the Father, Son, and Holy Spirit are one God, we can use the following formula: ∀ x(F(x) → S(x) ∧ HS(x)) ∧ ∀ x(S(x) → F(x) ∧ HS(x)) ∧ ∀ x(HS(x) → F(x) ∧ S(x)) This formula s...