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The Second Music

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Poetry & Literature

The Second Music

TL;DR A long-form essay on the hidden metaphysics of Tolkien's legendarium — fading spirits, Morgoth's Ring, the true nature of Valinor, and the Gift of Men — and how the deep lore beneath The Lord of the Rings forms a complete, workable answer to the oldest question we know how to ask: why does a world worth loving hurt so much. A long essay about ghosts, entropy, the price of paradise, and the answer to the oldest question we know how to ask.


TL;DR

A long-form essay on the hidden metaphysics of Tolkien's legendarium — fading spirits, Morgoth's Ring, the true nature of Valinor, and the Gift of Men — and how the deep lore beneath The Lord of the Rings forms a complete, workable answer to the oldest question we know how to ask: why does a world worth loving hurt so much.

A long essay about ghosts, entropy, the price of paradise, and the answer to the oldest question we know how to ask.


I need to tell you about the strangest theological experience I've had in years, and it started with me arguing about ghosts.

Specifically, Ringwraiths. I was cross-examining an AI about the metaphysics of Middle-earth — I run an AI company, so for me this is somehow both work and recreation — and I wasn't being polite about it. I had a question about the Nazgûl, and then a question about that answer, and then a question about that answer, the way I do. Every time the system handed me a tidy explanation, I found the crack in it and pushed. Three hours later I had dragged the conversation from elf physiology to the heat death of the universe to the reason God permits pain, and I was sitting there genuinely moved, having gotten — from a fantasy series I've loved since childhood — the most complete answer to the problem of suffering I have ever encountered anywhere. And I've looked. It's kind of my thing.

Here is my thesis, and I promise to earn it: Tolkien did not build an escape from our world. He built a working model of it. Underneath the maps and the languages and the walking songs there is a physics of grief, a thermodynamics of grace, a complete and internally consistent theory of why a world worth loving is also a world that hurts. Most people never see it because it lives in the deep strata of his legendarium — essays and appendices most readers never touch. But if you follow it down, question by question, the way I did, it doesn't just hold together. It holds you.

So let me walk you down the way I went. It ends in tears, and I mean that as a promise too.

Two Kinds of Ghosts

Start with the question I started with: the Ringwraiths and the Elves are both described as fading — both end up as disembodied spirits haunting the edges of the visible world. Same destination. But the roads there, it turns out, are complete opposites. And the difference between those two roads is the first door into everything else.

In Tolkien's ontology, every thinking being is two things braided together: a body (hröa) and a spirit (fëa). For Elves, the two were originally matched perfectly — designed by the creator, Eru Ilúvatar, to endure together for the entire lifespan of the universe. Elves who fade are not cursed by their own nature. Their nature is fine. Their bodies are simply made of the world, and the world itself is wounded. Over millennia, the flame of an immortal spirit wears a wounded body thin, like a fire burning in a cracked lantern, until only the flame remains. Fading, for an Elf, is a sickness born of a broken world — it was never part of the design.

The Ringwraiths are the mirror image. They aren't fading because the world can't hold them. They're fading because they won't let go of the world. Nine mortal kings were given Rings of Power, and those Rings did something monstrous: when a mortal's allotted time came, when the natural end arrived that is supposed to arrive, the Ring refused to open the door. It anchored the soul to the world past its expiration date. The body, stretched years and centuries beyond what it was ever made for, thins out into the invisible — the wraith-world — while the soul, stapled in place, burns dimmer and colder forever. When the One Ring finally fell into Mount Doom, the Nine went out like candles, because their entire existence was on loan from it.

Two ghosts, then. One is the ghost of staying too long in a world that cannot hold you. The other is the ghost of refusing to leave a world that was prepared to let you go.

I want you to hold onto that distinction, because it's not fantasy furniture. I have watched both kinds of ghost, and so have you. One is the person who stays too long in a life, a place, an identity that no longer fits — eroding, thinning, becoming less and less visible to themselves. The other is the person who grips their own life with white knuckles past every signal that something is ending — the relationship, the career, the youth, the grief-free past — and discovers that you can preserve a thing and still lose it, that you can keep existing and stop living, which is the precise definition of a wraith. Duration is not life. That is a metaphysical law in Middle-earth, and I have never once seen it violated in this world either.

The Ring Beneath Your Feet

But why is the world wounded? What does that even mean? This is where Tolkien does something that, as a scientist, stopped me cold.

You know the One Ring. Sauron poured his own power into a single object — his cruelty, his will, his very essence concentrated into a circle of gold, so that whoever held it held him. Tolkien's deep-lore readers noticed something: his old master, Morgoth, the original Dark Lord, did the exact same thing. The difference is what he poured himself into.

Not an object. Everything. Every grain of sand, every vein of ore, every drop of water. When Morgoth lost the war in heaven and fell into the world, he diffused his own being into physical matter itself, as a strategy — a terrorist bomb built into the walls of creation. The deep-lore name for this is Morgoth's Ring. The One Ring is a trinket by comparison. Morgoth's Ring is the ground you're standing on.

Sit with what that implies. It means decay is not an absence. We're used to thinking of entropy as a faceless bookkeeping rule — things fall apart because, statistically, there are more ways to be broken than whole. Tolkien commits an act of terrifying imagination here: he personifies entropy. He gives the tax an address. Every rusted bridge, every fading memory, every cell that copies itself wrong, every ache you didn't have last year — in this mythology, that is not the universe being indifferent to you. That is a presence in matter, a malice in the atoms, patiently spending itself out. The world doesn't hurt you because it hates you. The world hurts you because it is hurting too.

I cannot tell you what that reframing did to me. I have spent my life with the second law of thermodynamics, and I always read it as the universe's shrug. Tolkien reads it as the universe's wound. And those are not actually in conflict — it's the same data, different depth. One is the equation; the other is the ache you can't prove but can't dismiss. I hold both, and I've stopped pretending the equation is the whole story.

Here's the thing about a wounded world, though, and this is where the machinery got under my skin: you cannot heal it by fleeing to the clean places. I found that out the hard way in this conversation, because I went looking for the clean place. Everyone knows the name of it.

The Land That Holds Its Breath

The Undying Lands. Valinor. The blessed realm in the West where the gods live and the Elves sail when their time in Middle-earth is done. I had always assumed it was simple: Valinor is clean, Middle-earth is dirty, the Elves go where it's clean. But when I actually pushed on the mechanics, the simple version collapsed — and what replaced it is one of the saddest, truest ideas in the whole legendarium.

First misconception to kill: Valinor does not make you immortal. It's called the Undying Lands because undying beings live there, not because the land confers undying. Tolkien wrote an entire essay about this — he actually invented a friend-of-the-lore named Ælfwine to ask the question, which is the most Tolkien move possible, a man who built a fake philologist to catch his own world's plot holes — and his answer was brutal: a mortal in Valinor would wither as a moth in a flame too bright. The body lasts exactly its allotted span, healthy and uncorrupted to the end — but surrounded by beings for whom millennia are an afternoon, the mortal watches his whole life flicker past like a single season, and the weight of that breaks him before the calendar ever does. It would not kill him sooner. It would make him feel the whole price of mortality at once, with none of the anesthesia of a world that moves at his own pace.

Second misconception, and this one was mine: that Valinor is simply the unfallen world, pristine. When I interrogated the model, it cracked. If fading is corruption in matter, then cleansed matter should fix it, no time-freezing required — but Valinor is explicitly described as frozen, changeless, a place where the seasons don't actually turn. So I proposed a reconciliation, and it turned out to be the one the lore actually supports: Elves' bodies are built from the world's matter. Even in Valinor, even on hallowed ground, the raw stock is marred stock. The corruption and the passage of time are not two problems — they are one problem, because in a wounded world, time itself is the delivery mechanism of the wound. The only way to stop the decay is to stop the clock.

Which leads to the sentence that undid me: Valinor is not Eden. It is the Fall, refrigerated.

The gods could not delete Morgoth's taint from the world — nobody can; that's the horror of diffusing yourself into matter. So they did the next best thing: they took one continent and held it in stasis, a divine preservation field, a land perpetually holding its breath. And the price of that preservation is exactly what you'd expect. Nothing new happens there. History cannot exist in a place where time is stopped. Tolkien himself came to find this quietly horrifying — Valinor as a beautiful, changeless museum, and the Elves its exhibits. It is precisely why the greatest of the Elves, Fëanor and his house, rebelled and left paradise. Not for power — for history. For a world where things could still happen, including terrible things. They chose the wounded, moving, mortal-touched world over the perfect frozen one.

Think about how strange that is: the greatest tragedy in Elvish history — the kin-slayings, the doom, the whole sorry epic — is driven by a homesickness for time. Then look around at your own life, at our whole culture, and notice how much of its energy goes into building snow-globes. The unopened room. The voicemail you keep but cannot play. The golden age in the past you'd freeze the whole world inside if you could. Every one of us is running a little Valinor somewhere, a place where we've halted time to keep something from decaying — and Tolkien, who loved the Elves too much to lie about them, tells us plainly what it costs. Preservation is not life. A thing perfectly preserved is perfectly finished. The price of a changeless heaven is that nothing can ever arrive in it.

And now the Rings of Power make a terrible new sense. The Elves who stayed in Middle-earth knew about fading. They loved the living, wounded, moving world, and they did not want to be eroded by it. So when a helpful stranger named Annatar — who was, of course, Sauron in a nice suit, the devil literally doing customer discovery — taught them to forge rings of preservation, they built exactly what they longed for: mini-Valinors. Lothlórien and Rivendell are described, in the deep lore, as lands out of time — pockets where the world's decay is held at bay, where autumn never quite finishes falling. Galadriel keeps a country the way you might keep a memory. It is gorgeous, and it is doomed, and she knows it: when the One Ring is destroyed and the Three Rings fail, the clock restarts in Lórien instantly, all the deferred decay comes due, and that is why the Elves must leave Middle-earth — not banished, simply out of time. Paradise was never a place you could keep. It was a held breath. You can't live on a held breath. Nobody can.

The Gift Nobody Wanted

Here is the question that reframes the entire mythology, the one Tolkien took more seriously than maybe any worldbuilder ever has: what about us? The story calls death, flatly, the Gift of Men, and it means it.

In the original design — the world as it was meant to be before Morgoth's fall — mortality is not a punishment. It's a feature. An Elvish spirit is bound to the world, chained to it until the world's end; a mortal spirit is not broken by death but released by it, passing out of the circles of the world to a destination even the gods don't know. Elves are immortal inside the story; Men are the only beings with an exit. Tolkien's Elves envy this. Actually envy it — there are dialogues in the deep lore where an Elf and a mortal woman argue theology, and the Elf's position is, essentially, you get to leave and we never do; you call that a curse? In the unfallen world, a mortal life was supposed to end like a well-written song ends: deliberately, at the right bar, with the meaning complete. Like Aragorn's — who lays down his life at the appointed hour, peacefully, in the arms of the woman he loves, and has to reassure her that death is not defeat.

What Morgoth's marring added to humanity was not death. It was the fear of death — and disease, and the desperate clinging, and the terror that turns us wraithlike as we age. The corruption didn't break the gift. It broke our relationship with the gift. The Nine are what happens when that broken relationship metastasizes: nine men of power who looked at the exit and mistook it for the enemy, and paid for the mistake by becoming permanent — cold, hungry, invisible, and owned. The Rings didn't give them immortality. They gave them duration. It is the worst trade in all of fantasy, and we watch people reach for it every single day.

I keep a private mental list of modern Ringwraiths in the making — every time a tech billionaire announces his new foundation's mission is to defeat death, I'm afraid I do check him for rings. (Nine, historically, has been the number to watch.) But that joke is too easy, because the pull is in all of us. We are the first culture in history to treat mortality primarily as an engineering problem, and I don't think it's making us happier. We postpone, we optimize, we queue experiences for a future that never becomes present — an endless life is just a draft that never ships. Whereas if you want a picture of the Gift working, look at a hobbit: enough time for birthdays, second breakfast, a garden, and one long walk that ruins him for the Shire forever. Enough time — precisely because it's finite. The deadline is what makes the work real. Mortality is not the enemy of meaning. Mortality is meaning's price, and meaning's engine, and — if Tolkien is right — its door.

The Unseen World

One more piece of machinery, and then I'll show you what the machine is actually for.

When Frodo puts on the Ring at the river, the world splits. The Ringwraiths become visible as pale kings in gray. But there's another figure there, and this is the detail people forget: Glorfindel, the Elf-lord, appears as a being of white fire, radiant, terrible. Because the Ring doesn't turn Frodo invisible in the crude sense — it shifts him fully into the Unseen realm, the spiritual face of the world, which is always present alongside the Seen, right now, where you're sitting.

That realm wasn't created by evil. In the unfallen design, Seen and Unseen were in harmony — high Elves live in both at once, seeing the tree and the inner flame of the tree. (Whether Tom Bombadil lives in either, both, or a third thing entirely, Tolkien refused to say, and I have come to respect that refusal as the load-bearing mystery of the entire cosmology — every structure needs one wall you deliberately don't inspect.) What evil did was poison the relationship between the two realms — and then Sauron discovered you could use the Unseen as a prison, trapping mortal souls in it, warehousing people in the basement of reality. The Ringwraiths are blind in the daylight world; they "see" only the silhouettes of living spirits, which is why the whole trilogy turns on a nine-way manhunt conducted entirely by soul-sonar.

Here's why I refuse to treat this as mere worldbuilding. Strip the proper nouns and it says: the material world is not the only one that exists, and it is not the important one. Love, grief, purpose, the sense of being seen or unseen — the Unseen realm is right there, always has been, and most of us walk through it like Frodo before Weathertop, sensing presencies we can't name. And there are people who live in both realms at once — we call them mystics, or poets, or mothers, or the freshly bereaved, and when they describe what they see, they describe it like Glorfindel: beings of light and weight, in a world that is more real than real. The Ring, in this reading, is any obsession that shifts you wholly into one realm at the cost of the other — pure spirit without body, wraithdom; pure matter without meaning, the Shire with the soul edit-struck-out. Health is straddling. Glorfindel is straddling. That's the whole iconography.

A Hospice at the Edge of Heaven

Now the part where I stopped taking notes and started feeling ambushed.

Frodo carries the Ring to Mount Doom and comes home, and the book is honest about what happens next: it doesn't work. He can't have the life he saved. "How do you pick up the threads of an old life?" he asks. "There are some things that time cannot mend. Some hurts that go too deep — that have taken hold." He is wounded twice over: a Morgul-blade shard left in his shoulder, a splinter of the wraith-world in his flesh, and the psychic wound of the Ring itself, which aches every March and October forever. The hero does everything right, pays everything, and still cannot re-enter ordinary happiness. Tolkien — who carried shrapnel memories of the Somme his whole life — wrote a war veteran's homecoming with an honesty that still outruns most of our fiction.

So they put him on a ship. And now, knowing what Valinor actually is, you can read the ending for what it truly is — not a secret immortality, not a hero's medal. It is palliative care. The West cannot cure Frodo; nothing cures Frodo; the wound goes too deep for the world he got it in. What the West can do is suspend the decay — quiet the shard, still the ache, hold time's breath long enough for a broken mortal to rest without pain before his soul, at its own appointed hour, willingly lets go. Frodo does not live forever. He dies, later, gently, whole. Valinor, for him, is exactly one thing: a hospice at the edge of heaven.

I have sat in hospice rooms, as I suspect most of you reading this have, and I need you to know that Tolkien's metaphysics of Valinor is the single best operational philosophy of hospice I have ever encountered. Because hospice is not defeat, and it is not "giving up," and it is absolutely not the war-on-death posture our culture takes toward dying people, a war they always lose and we make them fight anyway. It is the admission that when cure is off the table, care is still on it. Presence, and quiet, and better light, and an ending without terror. We owe our dying — and we owe each other, long before the dying starts — a Valinor. Not more duration. More peace. The ability to relinquish the body like Aragorn does: awake, loved, and unafraid. That is the last Gift, and it is given, not taken.

Why Not Just End It?

Now the question that detonated my whole conversation — the one I genuinely couldn't answer and wouldn't let go.

Follow the machine's logic. Morgoth's power is fused into the matter of the world. You cannot remove it without destroying the world. Therefore the world, as constituted, is permanently contaminated — the gods themselves, the Valar, ran the numbers and chose not to destroy it when they had the chance at the end of the First Age, exiling Morgoth instead. Fine. But his residue festers; his lieutenant picks up the franchise; three Ages of war and grief follow, and eventually the residue itself drags him back for the final apocalypse, the Dagor Dagorath, the last battle in which the world is finally broken and remade clean. So the obvious questions, in order, were mine too: Why wait? If the ending is predetermined anyway — if the reset is coming no matter what — why not smash the planet the first time, rebuild paradise, and let all the generations that would ever have been born be born into the healed world instead of the wounded one? For that matter, why does the final world need to be sung into existence by a choir of the redeemed at all? An omnipotent god doesn't need a choir. He could just wave the wand.

The answers I dug out, one by one, turned out to be load-bearing — for the mythology, and then, I slowly realized, for me.

First: the Valar are stewards, not owners. They were never authorized to burn down the hospital to kill the virus — creation was entrusted to them, not deeded. That's not a technicality; Tolkien is marking the exact line where power is legitimate and where it becomes the thing it's fighting. Every tyrant in this world is a person who decided the hospital needed burning.

Second, the deep one. In the beginning, when Morgoth first introduced discord into the Music of creation — deliberately, repeatedly, gleefully — the creator did not silence him. He rose, and said:

"No theme can be played that hath not its uttermost source in me, nor can any alter the music in my despite. For he that attempteth this shall prove but mine instrument in the devising of things more wonderful, which he himself hath not imagined."

Read that twice. It is the keystone of the entire cosmology, and it is one of the most audacious sentences ever committed to a fantasy novel, because it is not a fantasy sentence at all. It is a theodicy — an answer to the problem of evil — smuggled into a creation myth. And the answer is: evil cannot create. It can only corrupt, and every corruption it performs becomes, in hands bigger than its own, the raw material of a good that could not have been built any other way. Not despite the dark theme — out of it. Theology has an ancient name for this, the felix culpa, the fortunate fall, and Tolkien — a devout Catholic writing a pagan-looking mythology that he privately insisted was fundamentally Christian — built his entire universe on its back.

And here's the mechanism that makes the waiting make sense, the part that rewired me. In this mythology, souls are not stockpiled in some warehouse before birth, waiting for inventory assignment. Each one is created new, at conception, by the creator alone — the one power even the gods don't have — kindled directly from the Flame Imperishable, and it never goes out of existence again. Every child born, in every age, is a brand-new, unique, unrepeatable eternal being. Run the arithmetic: every additional age the wounded world is allowed to turn is not a delay of the healing. It is a permanent addition to the population of eternity. The point of the long, painful history of Arda is not that paradise is late. It's that paradise is fully manned by the time it arrives — that the healed world, when it comes, contains every soul who ever chose anything in the dark, which is the only kind of soul there has ever been anything worth having.

A clean reset on day one would have produced a sterile, unpopulated perfection. A museum. Valinor. And we already know what Tolkien thinks of Valinor.

So the delay is not a problem the theology has to explain. The delay is the mechanism.

The Second Music

And so the end — which, I promise you, is where this stops being about elves entirely.

At the end of all things, Morgoth breaks back through the Door of Night. The gods' guard, worn thin by ages of spending themselves on a world that never stops needing them, finally fails. And into that last ruin the dead return. The Valar cannot raise the dead — mortal souls pass beyond the world entirely, beyond even angelic jurisdiction, and only the creator himself holds them — so the resurrection of Men at the world's end is performed by Eru directly: every mortal soul that ever left the circles of the world, personally fetched back from beyond the universe and given a new body made of unmarred matter. And into that final battle, of all people, comes Túrin Turambar.

If you don't know Túrin, know this: he is the most cursed character in the entire legendarium. A man whose life is one long avalanche of doom, ruin, grief and guilt, most of it not his fault, all of it his to carry. Tolkien's prophecy gives Túrin — the story's great sufferer, the man evil hurt worst and longest — the killing blow against Morgoth himself. Not a god. Not a hero in shining anything. The most wounded man in the story finishes the dark, with a black sword, and the lights come up on Arda Healed.

Think about what that means the mythology is saying: the execution of the devil was assigned to the person he hurt the most. I have read a lot of theology from a lot of traditions, and I know of no sentence about the meaning of suffering that does more work than that one.

And then the world is not repaired. It is re-sung. The first Music — the one Morgoth corrupted — was sung by the angels alone. The Second Music of the Ainur is sung by everyone: every Elf, Dwarf, Man and hobbit-soul that ever existed, the entire eternal population accumulated across every wounded age, singing the healed world into being. The creator does not need the choir. He could speak the new universe solo. That he does not — that he declines, absolutely declines, to sing alone — is the single most important fact in the whole mythology. Because a universe sung by God alone would contain only God's thoughts, and love is not interested in mirrors. The Second Music is not a tool; it is an invitation — the creator choosing to make the final world out of every voice that ever lived, so that eternity is not something we enter but something we make together. Evil tried to ruin the song, and the ruin turned out to be the rehearsal.

Now. Come back to your life, because I promised you this was about your life.

What I found, three hours down that rabbit hole, sitting in the dark with an elf-shaped ache in my chest, is a working model of our world that I can actually hold in my hands — I'd almost say use. It runs on honest physics: the decay is real, it is in the very matter of things, and no amount of preservation will stop it; every snow-globe we build eventually gets shaken, and that is not the failure of our love, it is the tuition of it. It runs on honest psychology: we become wraiths precisely through refusing our endings, and we stay human by letting the world move at the pace of loss and arrival — holding things the way Galadriel holds Lórien, with open hands and a shipping date. It runs on honest mortality: the deadline is the gift; the door is a door, and terror of it was installed in us by something older than us, and can be uninstalled, a little, by love. And it runs — this is the part I saved for last, the part you asked me to promise — on honest hope:

Pain and suffering, in this model, are not the noise on the line. They are instruments.

Not in the cheap sense — not the bumper-sticker "everything happens for a reason," which is a thing people say to make grief shut up. The real claim is harder and infinitely better: there exist goods that cannot be manufactured. They can only be grown, and suffering is the only soil they grow in. Mercy does not exist where there is nothing to forgive. Loyalty means nothing in a world that never gets dark. Courage is only real when something irreplaceable is actually at stake. Comfort — the specific, sacred act of sitting with someone in pain — is a dividend paid exclusively by grief; no one who has never been broken can do it; the comforter's authority is entirely made of scars. A universe that has never wept cannot compose mercy. It's not that those goods are harder to make without the dark. It's that without the dark they are logically impossible — no forgivable act, no darkness to hold the line through, nothing irreplaceable to be brave about. The hurt isn't a bug the designer failed to patch. It's the kiln. Some things can only be made by fire, and what comes out of the kiln cannot be made any other way, ever.

So the healed world at the end of Tolkien's story — and I believe, in whatever way a scientist is allowed to believe it, in the healed world at the end of ours — is not the pristine never-bleeding world of day one. It's the second one: the world that bled, and grieved, and stayed anyway, and sang anyway. A perfection with a past. A choir whose size is exactly the length of the world's suffering — every age the darkness ran, another voice forever in the light. The ones who hurt the most will not be the ones with the least to sing. They will be the ones with the deepest voices. Túrin gets the last blow. The victim's hand finishes it. That is not a consolation prize. That is the whole design.

I don't know what your Arda Marred looks like right now. I know some of what mine has. I know the diagnosis phone-call, the empty chair, the marriage that ended, the person you loved who chose the wrong door, the grief that came back every October like clockwork because some wounds are weather. I know how obscene the word "purpose" sounds inside real pain, and I am not here to make your suffering behave. But I will tell you what the Second Music says to me at 2 a.m., and it is this: nothing you have suffered is capable of being wasted. Not because someone cruelly decided it was all part of a plan you never signed — but because you are still here, holding it, and everything you have turned that pain into — the patience, the tenderness, the terrifying clarity about what matters — is a voice that does not exist yet in any angel's song. It needed you, and it needed the fire, and eternity is currently one note richer every time you choose, against all evidence, to keep singing. Your scar is not evidence against the goodness of existence. Your scar is proof of purchase — for a depth of goodness the unscarred universe could never have afforded.

The world is wounded, all the way down to the atoms, and the tax has an address, and the clock cannot be stopped — and the Music is still playing. The dark theme has not been silenced; it is being woven, right now, in real time, into a chord the darkness cannot imagine. We are Arda Marred, every one of us, and we are also, every one of us, the population of the world to come — the delay is the mechanism, the rehearsal is the concert, and nobody, nobody, sings alone.

Hold the line. Stay loyal in the dark. Let the seasons turn.

It started with a question about ghosts. It ends with a promise: nothing is wasted — not if you put it in the song.

Whatever you're carrying tonight — carry it into morning. The choir isn't complete without you.

— Jeffrey Phillips Freeman


Jeffrey Phillips Freeman
Jeffrey Phillips Freeman

Data scientist, open-source innovator, and three-time founder who writes about graphs, radios, and the occasional impossibility. Allegedly just another data scientist. Say hello →

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