The doctrine of the Trinity is central to mainstream Christianity. But insofar as it posits “three persons” (Father, Son and Holy Spirit), who are “one God,” it appears as inconsistent as the claim that 1+1+1=1. -/- Much of the literature on “The Logical Problem of the Trinity,” as this has been called, attacks or defends Trinitarianism with little regard to the fourth century theological controversies and the late Hellenistic and early Medieval philosophical background in which it took shape. I argue (...) that this methodol- ogy, which I call “the Puzzle Approach,” produces obviously invalid arguments, and it is unclear how to repair it without collapsing into my preferred method- ology, “the Historical Approach,” which sees history as essential to the debate. I also discuss “mysterianism,” arguing that, successful or not, it has a different goal from the other approaches. I further argue that any solution from the His- torical Approach satisfies the concerns of the Puzzle Approach and mysterianism anyway. -/- I then examine the solution to the Logical Problem of the Trinity found in St. Gregory of Nyssa’s writings, both due to his place in the history of the doctrine, and his clarity in explicating what I call “the metaphysics of synergy.” I recast his solution in standard predicate logic and provide a formal proof of its consistency. I end by considering the possibilities for attacking the broader philosophical context of his defense and conclude that the prospects for doing so are dim. In any case, if there should turn out to be any problem with the doctrine of the Trinity at all, it will not be one of mere logical inconsistency in saying that “These Three are One.”. (shrink)

Nominalism is the view that mathematical objects do not exist. This chapter delimits several types of nominalistic projects: revolutionary programs that attempt to change mathematics and hermeneutic programs that attempt to interpret mathematics. Some programs accord with naturalism, and some oppose naturalism. Steven Yablo’s fictionalism is brought into the fold and discussed at some length.

This 9,000+ word entry briefly assesses five models of the Trinity, those espoused by (i) Richard Swinburne, (ii) William Lane Craig, (iii) Brian Leftow, (iv) Jeff Brower and Michael Rea, and (v) Peter van Inwagen.

Latin models of the Trinity begin from the existence of one God, and try to explain how one God can be three Persons. I offer an account of this based on an analogy with time-travel. A time-traveler returning to the same point in time repeatedly might have three successive events in his/her life occurring at that one location in public time. So too, God’s life might be such that three distinct parts of His life are always occurring at once, though (...) without any succession between them, and this might give God the triune structure Christian theology believes He has. (shrink)

The Christian doctrine of the Trinity poses a serious philosophical problem. On the one hand, it seems to imply that there is exactly one divine being; on the other hand, it seems to imply that there are three. There is another well-known philosophical problem that presents us with a similar sort of tension: the problem of material constitution. We argue in this paper that a relatively neglected solution to the problem of material constitution can be developed into a novel solution (...) to the problem of the Trinity. (shrink)

Roughly, the problem of the Trinity is the problem of how God can be one and yet be the Father, the Son, and the Holy Spirit, which are three, not one. That one thing is identical with three distinct things seems to violate traditional laws of identity. I propose a solution to this problem according to which it is just an ordinary claim of one-many identity. For example, one pair of shoes is identical with two shoes; and my one body (...) is identical with its six limbs of arms, legs, head, and torso. The pair of shoes is not identical with each one of the two shoes, nor is my body identical with each one of its six limbs, but rather identical with all of them taken together, or collectively. I argue that the problem of the Trinity should be understood accordingly: God is identical with the Father, the Son, and the Holy Spirit collectively, but not with each one of them distributively. According to the way I develop this proposal, no traditional laws of identity are violated, but merely generalized in an intuitive way. I argue that this is compatible with Christian Orthodoxy as given by the Athanasian Creed. I end by responding to some anticipated objections. (shrink)

Religious believers react in one of four ways to apparent contradictions among their beliefs: Redirection, Resistance, Restraint, or Resolution. This paper evaluates positive mysterian Resistance, the view that believers may rationally believe and know apparently contradictory religious doctrines. After locating this theory by comparing and contrasting it with others, I explore the best developed version of it, that of James Anderson’s Paradox in Christian Theology. I argue that it faces steep epistemic problems, and is at best a temporarily reasonable but (...) ultimately unsustainable stance. (shrink)

William Hasker has rejected my rejection of his criticisms of my “Latin” account of the Trinity. I now reject his rejection.

Augustine knows by faith that God is a trinity, Father, Son and Holy Spirit, and he is seeking as far as possible to understand what he believes. In the first seven books Augustine begins by searching the scriptures of the Old and New Testaments for clues to understanding and then argues in the language of philosophy and logic to defend the orthodox statement of the doctrine against the Arians. In the last eight books Augustine seeks to understand the mystery of (...) the divine Trinity by observing an analogous trinity in the image of God, which is the human mind; and in so doing, he also suggests a program for the serious Christian of spiritual self-discovery and renewal. This second edition is newly produced, now featuring convenient footnotes rather than the previously used endnotes. (shrink)

Paraphrase is ubiquitous in philosophy, especially in discussions about ontological commitment. But should it be? Paraphrases are seldom accompanied by evidence that would convince, say, a linguist that the paraphrase and the paraphrased sentence have the same meaning. Indeed, from the perspective of linguistics, many paraphrases would seem to be nothing but bad jokes. For this reason, many philosophers have become deeply suspicious about paraphrase. I ague in this paper that this worry is misguided--that successful paraphrases do not need to (...) preserve semantic content, and that the way that paraphrase has been used in Quinean meta-ontology, and philosophical inquiry more generally, corresponds, at least roughly, to the way it should be used. (shrink)

Some Trinitarians, such as Thomas Aquinas, wish to claim that God is mereologically simple; that is, God has no parts distinct from Himself. In this paper, I present Simple Trinitarianism, a view that takes God to be simple but, diverging from Aquinas, does not identify the Father, Son, and Holy Spirit with anything in our ontology. Nonetheless, Simple Trinitarians would like Trinitarian sentences to be true; thus, they must give a non-standard semantics for those sentences. I will focus on one (...) possible semantics a Simple Trinitarian may give: taking Trinitarian claims to be translatable into feature-placing sentences, which posit property instantiation without requiring commitment to any objects that instantiate those properties. (shrink)

There is a puzzle about the use of paraphrase in philosophy, presented most famously in Alston's [1958] ‘Ontological Commitments’, but found throughout the literature. The puzzle arises from the fact that a symmetry required for a paraphrase to be successful seems to necessitate a symmetry sufficient for a paraphrase to fail, since any two expressions that stand in the means the same as relation must also stand in the has the same commitments as relation. I show that, while this problem (...) does undermine some conceptions of paraphrase, on a proper understanding of paraphrase the puzzle gets no purchase. Since paraphrase is an important component of Quinean approaches to meta-ontology, this paper constitutes a partial defence of Quinean meta-ontology. Since paraphrase is an important component of traditional methods of philosophical inquiry, this paper constitutes a partial defence of traditional modes of philosophizing as well. (shrink)