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wears a red-green combination of overskirt and underskirt inverted in the Brueghel copy. There are microscopical differences between faces, individual posture. The Younger had his own way with trees, bushy rather than twiggy.

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      Criss-cross tracks, paths, desire lines: The Census at Bethlehem, detail – Younger (left) and Elder (right).

      And then, more slowly, I see that the Younger favours tracks. From the bottom right, where Mary has entered on her donkey or ass, to the top left across the frozen river; and again, from the wheels of the foreground frozen carts, there are criss-cross tracks, paths, desire lines, animating the space. This is a frozen world, but there is evidence of networks, organized around an axis.

      The Elder’s foreground carts, by contrast, are going nowhere. There are no paths, just yellowish ice wallows. He has painted a village of spindly cartwheels, a spindly ladder against a spindly barn, spindly trees. And he has painted a world of endlessly repeated circles – the wreath, the barrels, and especially the cartwheels, thirty-one of them, including one a fraction below dead centre, hitched to no wagon and orthogonal to the viewer, as though it were not a material object at all, but a diagram of the interlocking cycles of village life and the seasons, of the great wheels of history and Christian redemption.

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      Hitched to no wagon: The Census at Bethlehem, detail.

      And then finally I recognize what sets the two paintings apart: the Younger, perhaps seduced by those few inches in hand, has raised the branches of the largest foreground tree a fraction to reveal what in the Elder there is none of – a vanishing point, or what the Italians call a punto di fuga, a fugitive point, a point of escape. The Younger’s brown frozen river winds out of the panel. His father’s, by contrast, is entangled in the branches, perhaps coils around the back of the village, a labyrinthine waterway.

      The only thing vanishing is that peculiar sun. The old world is ebbing to its conclusion.

      The Younger – wittingly? unwittingly? – has made this dead cosmic circuitry bearable, transient. Along those paths and on that frozen river our eye is made to criss-cross, not circle, and finally escape the painting. And he has done all this in direct contravention of the central thought process of the original – that these circles go nowhere for a reason.

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      A vanishing point: The Census at Bethlehem, detail – Elder (top) and Younger (bottom)

      Pieter Brueghel the Younger may not have been a painter at all. He was unarguably an eminent man in the Antwerp art world – there is a portrait etching of him by Anthony van Dyck, in which, as it happens, he projects the sort of patient melancholy common to men with drooping noses and straggling moustaches. But he may only have been the inheritor of the cartoons and the general manager of a workshop which employed anonymous hands to complete the copies. It is possible that he had no artistic personality, nothing but a signature and a locked chest of cartoons which he carefully opened and closed as required, a bureaucrat among artists, ghosting through the system, the painted artefacts. The notion that somewhere in that swirl of hands and methods and corporate production was the memory of a five-year-old boy transfixed by the death of his father is nothing more than an absurd projection of my own.

      But this is why I am here. I did not come into this room in Brussels to discover a truth, but to impose one. To make something of all this. This is one way in which we react to the accumulation of life. We make spreadsheets, trace genealogies, embark on projects, write essays. We pore over the data in search of patterns. All this must and will be made to mean something.

      I stand in the corner room of the museum, then, observing small differences. Discriminating.

      And there is in fact one final difference – a figure, present in the Elder’s panel but absent in all the Younger’s copies, suggesting a late emendation on the father’s part, a final gratuitous flourish of his art: it is the youth pulling on his skates, below the tiny child who cannot yet summon the courage to go out on the ice.

      Life is treacherous, says the figure, but we have resources. We have skates. We can make of this treacherous ice our element. Sooner or later, we all pull on our skates and go out on the ice – as the father might have remarked to the son, had he had time.

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      We have resources: The Census at Bethlehem, detail – Elder (left) and Younger (right).

      This whole village, in fact, suddenly seems to be poised by the ice, spilling uncertainly but inevitably over its edges. Just to the right of the large tree by the water a father stands hands in pockets and watches his two small children testing the curious element.

      The skater’s absence from all copies (bar one – a recently discovered panel has the skater, suggesting a late, rectifying glimpse of the original, or a post-mortem addition) implies that it was the father who was diverging, making changes on the hoof, inserting figures at the last minute, blotting out the vanishing point in a moment of inspiration, and the son who adhered more faithfully to the earlier version, the cartoon or, more likely, sheaf of cartoons. There is, after all, a sensibility in copying well, an alertness to detail. One of the Younger’s guiding virtues, you could say, was fidelity. Copying is meditative and respectful work, itself a way of thinking.

      If he was occasionally caught out by the odd detail it hardly matters. At some point the fractional differences collapse into the far greater mass of similarities. The census is not a record of our individuality in the end, but of our solidarity. Thus there is not a source of pictorial DNA – the Elder – and a series of ever-degrading replications. Rather there are versions of versions all orbiting a hypothetical centre of mass (the cartoon), just as the small children of the village eccentrically orbit the centres of mass set up between them and their parents, and their parents in turn orbit the invisible barycentre which lies between them and their ancestors, and which we commonly call the community. Each of us, present or absent, exerts our own small constant gravitational tug, variable in time, hard to calculate, take account of; but there, nevertheless, in the mass of data points, and the geometry which comprehends it.

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