They will perish, but thou remainest; they will all grow old like a garment … but thou art the same, and thy years will never end. — Hebrews 1:11–12

It is one thing to be carried through an endless life, which Plato ascribed to the world, and another to have embraced the whole presence of a limitless life at once, which is plainly proper to the divine Mind. — Boethius, The Consolation of Philosophy, V.6


Contents



Note on Sources and Method

This essay is a companion to Does the Law Explain Itself? and What Sustains the Now?, and presupposes the topology developed across the temporal sequence, which it recalls rather than re-derives: the lemniscate whose crossing is the Now, the constitutive — and not successive — dependence of derivative actuality upon the Non-Derivative, and the real distinction of essence and existence in all that is not the First. It presupposes, too, the corpus’s discipline about physics. Nothing here asserts of cosmology what cosmology does not assert. No claim is made here that the universe is in fact beginningless: the essay considers beginninglessness as a philosophical hypothesis, in order to ask whether it would remove ontological dependence, and it does not reopen the theological affirmation of creation’s beginning — which Aquinas himself held by faith rather than by demonstration. What is defended is a proposition about ontological dependence — that temporal endlessness, were it granted, would not confer non-derivative being — and, as the corpus keeps marking, the weaker and surer form of that proposition rather than a stronger form it has not earned. The witnesses invoked — Aquinas above all, and Boethius, Aristotle, Leibniz — are parallel witnesses and company on the road, not authorities from which the argument descends; it stands or falls on its own structural coherence. And the essay keeps the method the sequence has kept: it takes one word doing two jobs, and unbundles it.


Abstract

A meditation begins from two sentences held side by side — God is infinite, the universe is infinite — and hears in the first the suspicion that to be infinite is to be beginningless, and in the second the fear that an endless universe would share, at last, an attribute with its Ground. This essay answers by unbundling a word. Does Relativity Divide the Now? purged from the account of the Now its last spatial image, the cosmic slice; this essay performs the temporal counterpart, and purges from the word ground its last temporal image, the first moment. The equivocation lies in beginningless, which is doing two different jobs: what is true in one sense is false in the other. There is the beginninglessness of a series — that the temporal order has no first term, no earliest before — and there is groundlessness, which would be a fact not about the series but about its being: that its actuality is not received from another, and so requires no ground beyond itself. The two are orthogonal. A series without a first member is still a series of members, each wearing the mark the corpus has named, and a sum of derivatives is not thereby non-derivative; so beginninglessness may be granted to the universe at no ontological cost, while groundlessness may be granted to nothing that is not God. Duration is shown to be a magnitude within the figure, the temporal twin of spatial extent, so that a beginningless universe is one more case of the infinite-in-a-respect and not of the infinite-without-qualification. The offer of endless duration as self-sufficiency is exposed as the last fortress of Does the Law Explain Itself? in temporal dress: it either restates that the order endures, which removes no contingency, or it reaches for a self-subsistence no length can supply, which is the Non-Derivative under a colder name. Aquinas is received as the soberest witness, for he denied that reason could prove a created world without beginning to be impossible, and held that such a world would be no less created, since creation is the procession of being and not a first second. And the divine beginninglessness is distinguished from the world’s would-be beginninglessness as eternity from perpetuity, totum simul from an endless line, so that even here the shared word is analogical and not univocal. The last idol falls with the others: the Ground is not the oldest member of the series, as He is not the largest; He is reached by leaving the series, in which alone lengths arise.


I. The Word Turned to Time

The meditation that occasions this essay set two sentences side by side and felt them grind. God is infinite. The universe is infinite. And under the first it heard a worry that will not quiet on its own: does not calling God infinite already say that God, like an endless line, extends without a first point — that to be infinite is to be beginningless, and so to be beginningless is somehow the mark of the divine? And under the second a colder fear: if the universe too were infinite, would it not have laid hold, at last, of an attribute belonging to its Foundation, and closed by that much the distance the whole corpus has labored to keep open?

Both worries are dissolved by the same motion, and it is a motion this corpus has made before. Does Relativity Divide the Now? found the word now doing two jobs and pried them apart: the physicist’s simultaneity-now, a relation reaching across space, and the topology’s actuality-now, the crossing that reaches out to nothing. Relativity divided the first and never touched the second, because the second was never a slice of space. In doing so, the essay purged from the account of the Now its last spatial image — the cosmic present laid across the heavens — and left the crossing purer for the loss. This essay performs the temporal counterpart. It takes the word beginningless, and behind it the word ground, and finds in them a spatial figure’s twin: the picture of a Ground that would be the first thing in the line of time, the oldest member of the series, the head from which the rest descends. And it removes that image as relativity removed the other, for the Ground is no more the first term of the temporal series than He is the largest region of space. He is not a term of the series at all.


II. The Objection at Full Strength

Let the skeptic have the best form of his case, for the softened forms are not worth the answer. He does not say the universe caused itself, nor that it sprang from nothing, nor that there was a void before it into which being was later introduced. He says something cleaner and harder. He says the universe always was. There was no first moment for a cause to act at, no earliest state calling for a prior; the series of befores runs back without end, and at no point along it is there a gap where a ground was needed and missing. Every state is causally accounted for by the state before it, and there is always a state before it. The chain hangs from no first link because it has no first link, and a chain with no first link, he says, hangs from nothing because it needs nothing to hang from. Ask what holds the whole endless series and you have asked, on his view, a question the series has already answered term by term. Each moment, on his view, is explained by its predecessor; the endlessness guarantees a predecessor for each; the explaining never runs out, and where the explaining never runs out, no further ground is owed.

The hidden move is a transposition: what is granted as a term-by-term explanation is silently transferred to the whole series. But an account of why each member stands in relation to a preceding member is not yet an account of why the series of such members is ontologically grounded.

This is the temporal form of the strongest thing the unbeliever can say, and it is worth seeing that it is the very same claim Does the Law Explain Itself? met in its spatial and nomological dress, now wearing the robe of duration. There the order was “just there”; here it is “always there.” There the terminus was the deepest law; here it is the endlessness of the past. The essay will not pretend he says anything weaker than this: that beginninglessness is not a lack the universe suffers but a sufficiency it enjoys, the very feature by which it escapes the need for a Ground.


III. The Ray, the Line, and the Three Axes

Take first the smaller of the meditation’s two worries, because clearing it lays bare the structure the larger one needs. Does calling God infinite say that God is beginningless? It does not, and the reason is that infinite and beginningless are not even the same predicate. A ray begins at a point and extends without bound; it is infinite in extent and has an endpoint, both at once. So infinity by itself carries no verdict about beginnings; a thing may be infinite in one direction and bounded in the other, as the ray is, or bounded in extent and beginningless in time, as a closed loop of finite length might be traced forever. The words answer to different questions, and the meditation’s first unease is only the two questions overheard as one.

Separate them cleanly, for the whole essay lives in the separation. There are three questions here, and three axes, and the discipline is never to read a verdict on one off a verdict on another. Temporal origin asks: does the temporal series have a first term, an earliest before behind which there is no further before? Infinity asks: is this being unlimited in the respect under consideration? And dependence asks: is this being’s actuality received from another, or is it non-derivative? A ray settles the first and second independently — endpoint here, unboundedness there — and says nothing of the third at all, being a figure and not an existence. God is without beginning, and infinite, and non-derivative; but these are three predicates and not one, and the corpus has always insisted that they be earned and spoken separately, on pain of the confusions that follow when a single word is let do the work of three. And the first predicate will itself divide before the essay is done, for the way in which God is without beginning is not the way in which a beginningless world would be — but that division belongs to Section VII, and must not be anticipated here.

Now the larger worry can be stated in its true form. When the skeptic calls the universe beginningless, on which axis has he moved it? Only the first. He has said the temporal series has no first term. He has said nothing, in saying it, about the third axis — nothing about whether that beginningless series is non-derivative or receives its being from another. And the entire error the meditation was right to smell is the silent slide from the first axis to the third: the supposition that to remove the beginning is thereby to remove the need for a ground, as though no-first-term and no-ground were one verdict twice spoken. They are two verdicts, on two axes, and the essay’s single labor is to hold them apart.


IV. Duration Is a Magnitude

Why does the slide feel so natural? Because duration wears the disguise of depth. A very long past feels as though it were reaching down toward the ground, approaching self-sufficiency the further back it runs, so that an infinite past seems to arrive at self-sufficiency in the limit. Duration is an internal magnitude of the series, not a property that lifts the series out of the order of the received. The disguise is stripped by a single recognition: duration is a measurable magnitude along a temporal history, just as spatial extent is a magnitude within physical geometry — a predicate within the figure, not an exit from it. To make a temporal history beginningless is to make its temporal extent unbounded; it does not move the history outside the order in which duration is measured. Endless age is infinity in the temporal respect, precisely as unbounded reach is infinity in the spatial respect. It is one more instance of the infinite-in-a-respect the meditation had already learned to distinguish from the infinite-without-qualification. The universe, even if endlessly old, would be endlessly old within the kind of thing it is: still a physical order, still composed of derivative realities, still possessing the determinate structures proper to the physical order. Its endlessness of age would be an attribute within the series, not a graduation out of it, just as its endlessness of extent would be.

And now the fear behind the meditation’s second sentence can be answered in full. Does an endless universe share an attribute with its Foundation? Only analogically, never univocally — and the same distinction already made concerning infinity now applies to duration. We tolerate the analogy everywhere already. A line is infinite; a universe might be spatially infinite; God is infinite; the common word fixes no common ontological status. So too here: a series may be beginningless; a universe might be beginningless; God is without beginning; and the shared word no more makes the universe divine than the shared word good makes the just man God. The creature that is endlessly old would possess its endlessness derivatively and within an order; God is not beginningless by participation in some length called endlessness. The predicates rhyme; the beings do not.

Keep, then, the categories clean, for the whole gain is lost if they run together. The decisive point is not that the universe’s past is not long enough, as though a longer one would do better; nor that it is too long; length is simply the wrong axis. However far back the series runs, each of its terms is derivative in exactly the sense Does the Law Explain Itself? fixed — each carries a structure it does not confer upon itself — and the essay’s governing sentence returns here untouched: a sum of things each of which is derivative is not thereby a thing that is non-derivative. Adding “and the sum has no first term” changes no word of it. It lengthens the line. It does not lift the line off the page.


V. The Last Fortress in Temporal Dress

There remains the skeptic’s strongest move, and an essay that stepped around it would deserve suspicion. He will say that beginninglessness is not merely a length but a sufficiency: that a universe which always was needs no ground precisely because there was never a moment at which it was not, never a transition from nothing to something for a cause to effect. Endless existence, he says, is self-supporting existence; what never had to come to be never had to be brought to be.

This is the last fortress of Does the Law Explain Itself?, rebuilt in temporal stone. There the naturalist fortified the order by calling its laws necessary, and the fortress fell to a single distinction between two necessities the one word hid: nomological necessity, a law’s holding where it holds, which removes no contingency and merely restates the regularity; and metaphysical necessity, that-which-could-not-not-be, which physics cannot supply and which, honestly followed, is the Non-Derivative reached by a colder road. The temporal fortress falls to the very same cut. “The universe always was” means one of two things. It can mean that the temporal series has no first term — a fact about the ordering of befores, the temporal analogue of the trivial necessity. And this removes no contingency at all; it says the series is long, indeed endless, and endlessness is not aseity. Lengthening the past does not change the modal status of any term within it. Or it can mean that the universe’s being is not received at all, that it could not not-be, that it is actual not by receiving actuality but by being it — and this is not a fact physics or cosmology reaches by extending the past, for every state it reaches, however early or late, is one more received actuality; it is the Non-Derivative deduced, not the universe described.

Grant the skeptic, for the argument’s sake, the thing he cannot get by lengthening the past: suppose there were at the root of the world something whose non-existence is impossible, in which essence and existence do not come apart, which is actual non-derivatively and confers what the contingent receives. He would not, in reaching it, have furnished the universe with self-sufficiency. He would have reached past the universe to its Ground, and given it a cosmological name. For that reality is not the beginningless world; it is what the tradition means by ipsum esse subsistens, and the beginningless world remains, over against it, the series of the received.

And the deeper reason the fortress cannot hold is the one What Sustains the Now? already laid: constitutive dependence has no otherwise, and so no first moment is where it lives or could be evaded. The corpus corrected, in that essay, the adverb that put succession on the wrong side: the creature receives continuously and in series; the Ground gives without succession and without motion, in one act that is not strung along any timeline. To sustain is not to conserve a thing against a tendency to lapse but to constitute its being-actual, such that were the dependence to cease nothing would fall, because nothing was standing on its own to begin with. See what this does to the beginningless case. If grounding were a first push — an act at the initial instant, setting the series going — then a series with no initial instant would indeed have no place for it, and the skeptic would win by removing the seat. But grounding was never the first push. It is the constituting of each received actuality as received, at every term of the series alike, and a series with no first term has no term exempted from being received. Remove the beginning and you remove nothing from the side where the grounding is, because the grounding was never at the beginning. It was under the whole length, holding up a line that has, of itself, no more at its endless reaches than at any inch of it — which is to say, nothing at all.


VI. Aquinas’s Concession

Here the tradition should be received, and received with some astonishment, because it reached this ground earlier and held it more soberly than the modern believer usually dares. It is a commonplace to suppose that the doctrine of creation stands or falls with a first moment — that to be created just is to have been switched on at an initial instant, and that a beginningless universe would therefore be an uncreated one. Aquinas denied exactly this, and distinguished the two with remarkable philosophical sobriety. In De Aeternitate Mundi he grants, for the sake of the distinction, that a world without temporal beginning is not a thing reason can show to be impossible; and he insists in the same breath that such a world would be no less created, no less wholly derivative, its whole endless duration proceeding as being from the First. That the world began is held by him as an article of faith, revealed and believed, not as a conclusion demonstration reaches; and its beginning, where it is affirmed, is affirmed as a truth about the world and not as the mechanism of its dependence.

The reason is the one this whole corpus has been transcribing. Creation, for Aquinas, does not name a change from nothing to something, a first event along a line; it names the procession of the whole being of the creature from the universal cause of being — creation is not a change from one pre-existing state into another — and the dependence it institutes is an order of origin and not of time. A creature eternal a parte ante would still have its esse from another every bit as much as a creature made yesterday, because dependence in being is not measured by the duration of the being that depends. Aquinas’s point is that creation names dependence in being, not merely a temporal event. So ‘beginningless creation’ is, for the soberest of the witnesses, no contradiction but the cleanest possible display of the distinction this essay exists to fix: that without-beginning and without-Ground are not one claim but two, and that the first may be conceded entire while the second is refused entire. Aquinas conceded the length. He never conceded the aseity, because the length was never the thing at issue.


VII. Two Beginninglessnesses

One more distinction is owed, and it is the one that keeps this essay from over-spending its word as the foundational essay over-spent simultaneous. The meditation feared that a beginningless universe would share an attribute with God, who is also without beginning. But even here, at the very predicate, the sharing is analogical and not univocal, for God’s beginninglessness and the world’s would-be beginninglessness are not two magnitudes of one kind but two kinds. Boethius drew the line and this essay only inherits it. It is one thing, he wrote, to be carried through an endless life, which the philosophers ascribed to the world; another to embrace the whole presence of a limitless life at once, which belongs to the divine mind alone. The first is beginningless temporal succession — what may be called sempiternity, in contrast with eternity — a succession with no first term, each moment possessed only as the others are let go. The skeptic treats eternity as maximal sempiternity, which is precisely what Boethius denies. The second is eternity — the totum simul the corpus has leaned on since Does Time need Me, or do I need Time?, the whole and simultaneous possession of unending life, in which there is no succession to be carried through because there is no before and after to be traversed.

So the two beginninglessnesses are radically different in structure. The universe, were it beginningless, would be beginningless by having endless succession — beginningless because the line of its befores has no first point. God is beginningless by having no succession at all — beginningless because He is not in the line of befores to have a first one. God is not beginningless by having infinite duration; He is beginningless by not having duration. The one is without beginning by extending the series without end; the other is without beginning by not being a member of the series. They meet in a word and part in everything the word is doing. To call them the same attribute is to make the mistake the relativity essay warned against in its own register: to take God’s eternity for the best and longest case of the world’s duration, the master clock, the supreme sempiternity — when eternity is not a longer time but the absence of the succession that time is. The divine “years that will never end” are not a quantity of years exceeding every other; they are the yearlessness of the one of whom the Scripture says, in the same breath, thou art the same.


VIII. The Temporal Idol

Now the pattern of the corpus completes itself, and it is worth seeing whole, because the essays have been demolishing one idol at a time and this is the last of a matched pair. Every temptation to find the Ground has been a temptation to seat Him within the figure as its maximal member along some axis. Does Relativity Divide the Now? exposed the spatial idol: the God who would be the privileged frame, the true slice, the vantage from which all events are at last simultaneous — the largest and best-placed thing in space, the master clock among the clocks. And it refused Him, because a god who is the privileged frame is a god within the geometry, one more observer supremely placed, and the Ground is no member of what it grounds.

This essay exposes the temporal idol, which is the same error rotated onto the axis of time: the God who would be the first cause at the head of the line, the oldest thing, the initial term from which the series descends — the one whose sole office is to have been there before the rest, to have started what could not start itself. And it must be refused for the identical reason. A god who is the first term is a god within the series, one more moment supremely early, and the Ground is no member of the succession He grounds. This is why the skeptic’s beginninglessness, so far from embarrassing the theology, does it a service the spatial abolition already did in its own dimension: it removes the very idol the doctrine was forever being mistaken for. Take away the first moment and you have not taken away the Ground; you have taken away the counterfeit — the Ground imagined as a first event — and left the true one exactly where it always was, under the whole line and at no point upon it.

For the two idols are one idol, and the two abolitions one lesson. The spatial idol seats the Ground as the largest region; the temporal idol seats Him as the earliest instant; both suppose He is reached by pushing a magnitude of the figure to its limit — the widest space, the oldest time. Both idols arise from maximizing a creaturely magnitude and mistaking the limit case for the Ground. He is reached by neither, because He is on no axis the figure has. One does not arrive at the Ground by maximizing extent or by maximizing age, by the biggest or by the oldest, for these are both members of the series in which bigness and age arise. One arrives at Him, if the word arrive may be allowed for what was never at a distance, by leaving the series — which is only to say, by seeing that its whole length and breadth, endless or not, is received.


IX. A Formal Statement

Three sentences, offered as the definitions this essay exists to fix.

Beginningless names a fact about the series — that it has no first term; non-derivative would name a fact about its being — that its actuality is not received from another and so requires no ontological ground beyond itself; and these lie on different axes, so that the first may be granted to the universe at no ontological cost, a series without a first member being still a series of the received, while the second may be granted to nothing that is not God.

Duration is a magnitude within the figure, the temporal twin of spatial extent, so that an endlessly old universe is infinite only in a respect and within an order, as a spatially unbounded one is; endlessness of age is an attribute of the series and not a graduation out of it, and confers no more aseity than endlessness of size.

The divine beginninglessness is eternity and not perpetuity — the whole simultaneous possession of unending life, without succession — whereas a beginningless world’s would be a beginningless temporal succession, with no first term; the two share a word and differ radically in structure, and the Ground is without beginning by not being a member of the series, not by being its endless or its earliest member.


X. Coda

The skeptic may keep the length. That is again the strange mercy of the argument and its whole modesty: nothing is taken from him. Let the past run back without end; let there be a state before every state, and no first dawn of the world; let the universe be, if he likes, without a first temporal moment, older than every clock because no clock could mark its beginning. Not one term of the endless series is struck from the inventory, and no fact within it will rise up to contradict him, because the Ground was never going to be a fact within it — not the first fact, as it was never the largest.

But he cannot keep, in the keeping, the thing he wanted the length to buy him. He reached endlessness by refusing, at every term, to let a moment stand as its own reason — each explained by the one before, and there is always one before. And at the whole he lays the refusal down, and lets the endless series stand as its own reason, on the ground that it has no first term to be asked after. He may do it. What he may not do is call it a discovery, or pretend that endlessness answered the question that every finite stretch of it left open. The line does not ground itself by being long. It does not ground itself by being endless. It is, of all things, the last that could, for it is the one thing every inch of which was shown, by him, to hold of the inch before — and there is nothing further that the whole of it, endless alone among the things he examined, is permitted to hold of, except that it not be asked.

And here is the discovery beneath the whole argument, the one that makes this essay a continuation of the relativity correction and not merely another proof of a maker. God is not without beginning because His duration reaches farther back than the universe’s. He is without beginning because temporal duration is not the kind of thing He has. The relativity essay took from the Now its last spatial image and found the crossing purer for the loss; this one takes from the Ground its last temporal image — the long backward reach, the endless age, the first and oldest thing — and finds that what remains is not a longer time but no temporal duration at all: not the eldest of temporal durations, but that in which temporal duration is not a category.

They numbered the years, and did not find the Ancient of Days; from the endless reach of time they could not know the One who is — not because He stood at its beginning and they searched too shallow a past, but because He was never a moment in the line to be found, being not the oldest thing that is, nor the longest-lasting, but the reason there is any duration at all to be endless:

I AM WHO I AM.



References

  • The Holy Bible. Revised Standard Version, Second Catholic Edition. Ignatius Press, 2006. (Hebrews 1:10–12; Psalm 90:2; Psalm 102:25–27; Exodus 3:14; Daniel 7:9.)
  • Aristotle. Physics. Book VIII. (On the eternity of motion and the world without temporal beginning.)
  • Boethius. The Consolation of Philosophy. Book V, prose 6. (Eternity as the whole and simultaneous possession of unending life, distinguished from perpetual duration.)
  • Aquinas, Thomas. On the Eternity of the World (De Aeternitate Mundi). Translated by Cyril Vollert. Marquette University Press, 1964. (That a created world without temporal beginning is not demonstrably impossible.)
  • Aquinas, Thomas. Summa Theologiae. I, q. 46 (on the beginning of the world as an article of faith, not of demonstration); q. 44–45 (on creation as the procession of being from the universal cause, without change).
  • Leibniz, Gottfried Wilhelm. Principles of Nature and Grace, Based on Reason. 1714. (The principle of sufficient reason, and why an eternal series of contingents does not supply its own.)
  • Gaitan, Oscar. Does Time Need Me, or Do I Need Time? The Ontology of the Now, the Invariance of Presence, and the Ground of Being. 2026.
  • Gaitan, Oscar. What Sustains the Now? On the Mature Lemniscate, Constitutive Dependence, and the Ground Beneath the Figure. 2026.
  • Gaitan, Oscar. Does the Law Explain Itself? On Physical Order, the Two Stops, and the Ground the Figure Cannot Supply. 2026.
  • Gaitan, Oscar. Does Relativity Divide the Now? On Time Dilation, the Relativity of Simultaneity, and the Now That Is Not a Slice. 2026.


Further Reading

Book

  • The Lemniscate of Time: A Geometric Meditation on Eternity and Temporal Succession
    ISBN: 9798248842360
    Zenodo: DOI: 10.5281/zenodo.18684516


Selected Essays