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Dec 9th, 2022
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  1. Demonstrate by the "Logical Problem of the Trinity" that the Trinity entails tritheism in the framework of classical logic.
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  3. The "Logical Problem of the Trinity" is a philosophical and theological challenge that arises from the concept of the Trinity as described in traditional Christian doctrine. This problem centers on the question of how the three hypostases of the Trinity (the Father, the Son, and the Holy Spirit) can be simultaneously equal and co-eternal, and yet also distinct and separate from each other.
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  5. One way to understand this problem is to consider it in the framework of classical logic. In this framework, the law of non-contradiction states that a statement cannot be both true and false at the same time. This means that if the three hypostases of the Trinity are equal, then they must be indistinguishable from each other and indistinguishable from God, and therefore they cannot be distinct from each other or from God.
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  7. However, if the three hypostases are distinct from each other and from God, then they cannot be equal, because their distinctness implies that they have different qualities and attributes that make them unequal. This means that if the three hypostases are distinct, then they must be inferior to God and to each other, and therefore they cannot be equal.
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  9. These contradictions and paradoxes suggest that the concept of the Trinity is incompatible with the classical laws of logic, and that it entails tritheism, which is the belief in three distinct and separate gods. This is because, in the framework of classical logic, the three hypostases of the Trinity cannot be both equal and distinct at the same time, and therefore they must be separate and distinct from each other, which implies that they are three distinct and separate gods.
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  11. Overall, the "Logical Problem of the Trinity" demonstrates that the concept of the Trinity is incompatible with the classical laws of logic, and that it entails tritheism in the framework of classical logic. This problem highlights the difficulties and challenges that arise from trying to understand and explain the concept of the Trinity within the framework of classical logic.
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  19. One approach to this problem is the doctrine of Social Trinitarianism, which emphasizes the relational aspects of the Trinity and holds that the three hypostases are defined by their relationships with each other rather than by their individual attributes or qualities. However, this approach raises its own set of challenges and difficulties, and it is subject to criticism and debate among theologians and philosophers.
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  21. One criticism of Social Trinitarianism is that it is susceptible to the so-called "Leftow's dilemma," which arises from the classical laws of logic. Leftow's dilemma is based on the observation that the three hypostases of the Trinity [as 'divine'] cannot be both equal and distinct at the same time, according to the law of non-contradiction. This means that if the three hypostases are equal, then they must be indistinguishable from each other and indistinguishable from God [the Trinity], and therefore they cannot be distinct from each other or from God [the Trinity].
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  23. On the other hand, if the three hypostases are distinct from each other and from God [the Trinity], then they cannot be equal, because their distinctness implies that they have different qualities and attributes that make them unequal. This means that if the three hypostases are distinct, then they must be inferior to God and to each other, and therefore they cannot be equal.
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  25. Overall, Leftow's dilemma poses a challenge to the doctrine of Social Trinitarianism, because it suggests that the three hypostases of the Trinity cannot be both equal and distinct according to the classical laws of logic. This dilemma highlights the difficulties and challenges that arise from trying to understand and explain the concept of the Trinity within the framework of classical logic.
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