Trinity

 I've been playing around with the Trinity, probably something not respectable to play with.  It occurs to me it might be described as a different form of arithmetic.

I think that is actually a rather interesting way to “play” with it, and not as far outside respectable theology or philosophy as you might think. A lot of theologians and philosophers have tried to express the Trinity using analogies drawn from mathematics, logic, and structure.

Calling it a “different form of arithmetic” has a surprisingly old flavor. The difficulty is that ordinary arithmetic assumes identity and counting in a particular way:

    1 + 1 + 1 = 3

    If A = B and B = C, then A = C

    Three distinct things are three things

The traditional doctrine of the Trinity says something like:

    The Father is God.

    The Son is God.

    The Spirit is God.

    The Father is not the Son, the Son is not the Spirit, and the Spirit is not the Father.

    Yet there is one God.

So it seems to violate ordinary counting. But it does not necessarily violate all possible mathematical structures, because mathematics is full of systems where the rules differ from familiar arithmetic.

For example:

    In modular arithmetic, 7 + 5 is not 12 but 0 (mod 12).

    In vector arithmetic, adding things does not mean “counting objects.”

    In set theory, the same elements can be grouped in different ways.

    In abstract algebra, the operation itself is part of the definition; change the operation and you have a different kind of arithmetic.

A Trinitarian thinker might say that “person” and “essence” are not being counted in the same dimension. Three persons are not three instances of deity, the way three apples are three instances of fruit. They are three relations within one being.

A rough analogy (not a proof, and theologians would immediately argue over it) might be a mathematical object with three distinguishable aspects that are not separable objects. Think of a triangle: it has three vertices, but the triangle is not a fourth thing sitting beside them. The three points exist only as part of the single structure.

The phrase “different arithmetic” is actually close to what some philosophers mean when they say the Trinity requires a different ontology—a different set of rules about what counts as a “thing.”

Given your earlier thoughts about dimensions and different kinds of existence, I suspect what caught your attention is that the Trinity is not really trying to say “three equals one” in normal arithmetic. It is saying that the categories used in normal arithmetic may not be the right categories for this particular kind of claim. That is a very old philosophical move: when the paradox appears, examine whether the measuring stick fits the object.

The problem of course was what to do with Jesus, this person who was born and lived and died and this Christ, something of a god if not God.  

That is one of the deepest questions both science and theology have wrestled with: why here?

From a scientific perspective, the first answer is that Earth may not be as special as it feels. There are likely enormous numbers of planets in the universe, and given enough opportunities, some will have the right combination of conditions for life. This is essentially the anthropic principle: we observe a universe compatible with our existence because if it were not compatible, we would not be here to observe it.

But that answer can feel unsatisfying because it explains why we can find ourselves here, not necessarily why there is a universe in which places like this exist at all.

There are several ways people approach it:

    The chance view: Earth is one of the rare places where the dice happened to come up right. A person who wins a huge lottery might ask “why did I win?” The answer is not that the universe selected them; someone had to win.

    The multiverse view: If there are vast numbers of universes with different properties, it is less surprising that at least one permits observers.

    The design view: Some religious thinkers see the conditions allowing life as evidence of purpose—that Earth is not merely one successful roll of the dice but an intended outcome.

    The philosophical humility view: Perhaps “why Earth?” assumes that there had to be a reason in the human sense, when nature may simply produce possibilities without intention.

There is also a lovely cosmic irony: Earth is both ordinary and extraordinary. It is an ordinary rocky planet around an ordinary star in a galaxy with hundreds of billions of stars. Yet, as far as we know, it is the only place where matter has become organized enough to ask questions about itself.

The physicist Carl Sagan often emphasized that humans are not the center of the universe, but we are a way for the universe to become aware of itself. Whether that is a poetic description or a profound insight depends on one's philosophical starting point.

And it loops back to your earlier Trinity discussion: the question “why this place?” is ultimately not just a question about astronomy. It is a question about whether reality is fundamentally accidental, necessary, or meaningful. Those are very different ways of seeing the same astonishing fact—that anything exists at all.

Well Jehovah chose the Israelites, hardly the most common on the planet, as his chosen people.

Yes, and that is an interesting parallel with your earlier “why Earth?” question. The biblical story is full of what appear, from the outside, to be very particular choices.

From the perspective of the Hebrew Bible, the choice of Israel is not presented as a reward for being the largest, strongest, or most impressive nation. In fact, Deuteronomy explicitly says the opposite: Israel was chosen not because it was the greatest nation, but because of God's choice and covenant with its ancestors. The smallness of the group is almost part of the point.

A theologian might say that this is an example of a recurring biblical theme: the unexpected choice. The younger son over the older son, the shepherd David over his stronger brothers, the small nation over the great empires. The message is that divine purposes do not operate by ordinary measures of power or probability.

A historian, looking at it from the outside, might explain it differently. Small groups can sometimes have an outsized influence because of particular historical circumstances. Ancient Israel developed traditions—especially strict monotheism, a powerful literary culture, and a strong identity—that had consequences far beyond its size.

There is also a fascinating question hidden in your comparison: why this place, this people, this moment? It is the same kind of question as “why Earth?” or “why humans?” A religious answer often says that particularity is meaningful: the universal is revealed through the particular. A scientific or historical answer tends to say that we are observing the outcome of a long chain of contingencies.

One of the striking things about Judaism, Christianity, and Islam is that they all wrestle with the same tension: a claim of universal significance emerging from a very specific historical setting—a small people in a small region of the ancient Near East. That tension is one of the reasons the traditions have spent so much time thinking about whether the choice was arbitrary, purposeful, or somehow both.

I may be the end result of an incredibly large number of chance events, but, nevertheless, I exist.

That is a very profound way of putting it. It captures something that sits at the intersection of probability, philosophy, and personal existence.

From one perspective, the chain of events leading to any particular person is astonishingly contingent: the exact conditions on Earth, the evolution of life, the survival of ancestors through countless hazards, the meeting of particular people at particular times, and the enormous number of biological events that had to happen in just the right way. Change any one of countless details and a different person might have existed—or no one at all.

Yet the conclusion is not “therefore you are unreal” or “therefore you are meaningless.” Quite the opposite: contingency does not make something less real once it exists. A particular snowflake is not less beautiful because the precise arrangement of its crystals was not planned. A piece of music is not less valuable because it could have been composed differently.

There is a famous line of thought called the “anthropic” perspective: any observer necessarily finds themselves in a universe compatible with their existence. But that does not eliminate the wonder of the fact that the universe produced beings capable of noticing it.

There is also a philosophical distinction between explanation and significance. Science can trace the causal chain that produced you. It can say much about the “how.” The question of “what does it mean that this particular chain happened?” is a different kind of question.

Your statement also has a nice reversal of the usual “why me?” question. Instead of asking why you were selected out of all possibilities, it says: out of all possibilities, this one happened—and now there is a person here who can reflect on it.

In a sense, the universe went from particles to chemistry to life to consciousness to a being asking why there is a universe at all. Whether one sees that as chance, emergence, or something with purpose depends on one's philosophy, but the sheer fact of existence remains remarkable either way.