In one sense, "infinite" is simply not finite, and therefore a wholly negative definition. It is also apophatic, in the sense that we know what finite things are, but again, all we can say about the infinite that it's not one of those.
Jumping ahead a bit, Schuon always deploys the infinite in a positive manner: in brief, one might say that infinitude is the first consequence or entailment of the Absolute. One can conceive of infinitude without the Absolute -- a kind of absolute chaos, I suppose -- but I can't conceive of Father Absolute without Mother Infinitude by his side.
With those preliminary inanities out of the way, here are some passages touching on the subject, from Norris Clarke's The Philosophical Approach to God. He begins by asking whether the divine perfection is "truly infinite, and it what respects?"
As far as the traditional Christian position is concerned, the doctrine of the positive infinity of the divine perfection has been solidly established and universally recognized since the fourth century.
Prior to this -- in both scripture and in the writings of the early fathers -- "the term 'infinite' itself occurs nowhere explicitly."
This is partly for cultural reasons, since the early fathers sought to reconcile Christianity with the best philosophical thinking available, and the Infinite "had not yet worked its way into either ordinary or philosophical vocabulary as a positive concept." That is,
In classical Greek thought, including both Plato and Aristotle, perfection was habitually identified with the finished, the well-defined or determinate -- i.e., the finite or limited -- typified by intelligible form.
Is it possible that, over two-thousand years later, we are still burdened by this devaluation of infinitude? Well, for these thinkers,
The infinite was identified with the indeterminate, the unfinished, the chaotic, the unintelligible, typified by unformed matter.
This strikes me as straight-up misogyny, since, as we know, matter is cognate with mater, maternal, matrix (i.e., womb), and more. Mamamaya!
Now that we're on the subject, I remember a book by Alan Watts (Nature, Man and Woman), in which he traces all this to "the Sanskrit root ma- (matr-), from which, in Sanskrit itself, come both mata (mother) and maya (the phenomenal world of nature)." I don't know if that's just the LSD talking, but it's too good to check.
The deeper -- and unarguable, in my opinion -- point is that male and female go all the way up and down in this cosmos. Don't even get me started with the centrality of Mary, not to mention Sophia-Wisdom. Or the feminine nature of the soul in relation to God. Rather, let's focus! Clarke:
It is only with Plotinus and Neoplatonism, as foreshadowed by Philo Judaeus, that the notion of a positive infinity, indicating an excess of perfection above all form and not below it, is finally worked out with clear conceptual and metaphysical precision (emboldenment mine).
Now, the first error we need to bat away is the equation of infinitude with some mere quantitative dimension -- as if we're merely talking about an infinite number of intelligible possibilities. Rather, there is a residual of infinitude in every possibility, as indicated by the fact that, for example, no one will ever get to the bottom of a single grain of sand, let alone a living or thinking being.
Come to think of it, we have less comprehension of anything than we do everything, by which I mean that science comes up against an inevitable and impassable Wall of Unintelligibility (e.g., "what came before the Big Bang," or "where does mathematics come from?), whereas metaphysics penetrates far more deeply into the Mystery.
Now, as I've mentioned before, I suspect there is an important link between Infinitude and our freedom, since, in a manner of speaking, the Infinite must be God's own freedom, AKA Infinite Possibility.
I suppose people don't like this idea, since it implies mutability in God. But in my opinion, we have to deny any negative connotation, and affirm a kind of eminent perfection in it. No, God's perfection does not and cannot surpass itself, but that doesn't mean it's totally static. I mean, maybe it's static, but I just can't relate to that, nor it to me.
And before you dismiss my position as sentimental nonsense, here comes Clarke to bail me out:
Here is where the Christian theological notion of God as Trinity of Persons takes on a sharp philosophical relevance. For it illustrates how God's own inner life is already rich in infinite self-expression by the Father's total gift of His own being to the Son and the procession of the Holy Spirit from both as a mutual act of love.
Words like "static," "immutable," and "changeless" don't come to mind to describe this metacosmic hoedown. For it is "purely out of the joy of giving that this divine inner life can pour over to share itself with creatures."
And now we're in a better position to understand Schuon when he writes that
To say Absolute, is to say Infinite; Infinitude is an intrinsic aspect of the Absolute. It is from this “dimension” of Infinitude that the world necessarily springs forth; the world exists because the Absolute, being such, implies Infinitude.
Except perhaps that word necessarily, since Christian doctrine is quite clear on creation being a divine gift, not any kind of compulsory emanation.
But I think we can clear this up by suggesting that the Creator cannot not create, otherwise the pronoun is contradictory, but that any particular creation is totally gratuitous. It's a gift, and there's not a damn thing we can do about it except acknowledge, accept, regift, and pay it forward to others in our own limited but nevertheless theomorphic way.
We'll conclude with a couple of aphorisms to ponder:
The free act is only conceivable in a created universe. In the universe that results from a free act.
In any proposition about man its paradoxical fusion of determinism and freedom must emerge (Dávila).
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