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Lucian Sheen

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This article concerns a man who held that the subject of an argument and the side he argued were two different things, and that he was responsible for only the first.

This article is about the disputant of the Telluric Athenaeum. For the doctrine he expounded without admitting to, see reluctant light; for the society whose aether he defended, the Aetheric Concord.
Lucian Sheen
1816–1871
A lean, long-haired Victorian gentleman in a caped travelling coat, one hand resting on a staff, a glowing oil lamp and a rolled broadsheet beside him, a flat dual-pole world map on the wall behind
Sheen, c. 1864. He sat on the condition that the map behind him be rendered flat, “for accuracy,” and is recorded to have approved the likeness without remark on the face.
Born2 February 1816
Died21 October 1871, the road being clear[1]
OccupationGentleman-amateur; balladeer; disputant
Styled“the contrary advocate” (his own)
Also called“the reluctant globe-man” (the Athenaeum's)
Known forThe pole-star reduced to the plane; the dark angles
DoctrineThe apparent and the real; a Machian aether
Side heldNone on record[2]
HauntThe Telluric Athenaeum's conversazione

Lucian Sheen (1816–1871), who styled himself the contrary advocate, was an English gentleman-amateur, balladeer, and tireless disputant, a fixture of the perpetual conversazione of the Telluric Athenaeum.[1] He maintained throughout his life that he was an orthodox man of the round earth, and merely better read in the science than his opponents; across two decades of recorded dispute he is not known to have once argued the round case, every surviving account having him in defence of the plane.

The contradiction he never acknowledged and his opponents never resolved.[2] Sheen held that nothing is where it appears — that distance, and not the figure of the earth, hides the far thing from the near — and built upon this a defence of the flat plane he declined to call his own. In doing so he arrived, from the opposite direction and without ever naming it, at the central observation of reluctant light: that the distant thing refuses to be where it ought. From the same observation that drowned Unlonn in deference to the light, Sheen concluded only that the earth was a plane, and that perspective did the rest.

The contrary advocate

The defining feature of Sheen's career is the gap between the side he argued and the side he owned.[2] He insisted, in print and in the room, that he held the globe; he argued, without exception, the plane; and he treated the observation that these did not agree as a slander, to be answered by demanding the timestamp at which he had ever said the earth was flat. None could be produced, for he never had said it — only argued it, which he held to be a separate act, and that of his opponents.

The Telluric Athenaeum, whose single rule was civility and which "declined nothing," received him without difficulty and was never able to enter him on a side.[3] There, in a conversazione that had no announced close, Sheen disputed nightly and conceded nothing, on the principle that a question is settled only when one's opponent agrees, and that he need merely decline to. The wags of the house called him the reluctant globe-man — reluctant, they meant, not of the light but of the label; the name is the one by which the Athenaeum's later minutes know him, and the only matter concerning him on which they are decided.

He scorned every title and credential, holding examination an encumbrance and the lettered men of the Aird sort a guild of the timid — "Newton sat no examination," he was fond of noting, of a man who had.[4] He signed the broadsides with his name and nothing after it. When pressed on his own standing he would refer to a season as a surveyor — of signal-coverage, it would emerge under questioning, the charting of where a town's telegraph failed to carry, a matter bearing on the figure of the earth not at all.[4] Correspondents who pressed too far were struck from his acquaintance, a procedure he regarded as a verdict.

The apparent and the real

Sheen's doctrine, such as it was, held that the eye and the instrument alike report not where a thing is but where it appears, and that the two are different places.[5] Parallel lines, he observed, run together to a point that is not there; the floor appears to rise to meet the level of the eye, though it does not; and no glass, however fine, and no theodolite, however dear, can subtract this from the view — "you cannot whip out a theodolite," he held, "and step outside perspective." He named the distance past which the ground will no longer resolve itself the optical vault, and held that whatever lay beyond it was not absent but merely hidden — perspective having drawn its limit there.

This is, very nearly word for word, the observation on which Hieronymus Unlonn founded reluctant light: that the distant object will not stay where it ought to be. The two men shared the premise entire and parted at the conclusion. Where Unlonn supposed the light declined to arrive, Sheen supposed the earth flat and the eye limited, and where Unlonn measured a refraction and mourned it, Sheen measured a perspective and was satisfied by it. The encyclopedia notes the convergence, and that neither man is recorded to have read the other.

The pole-star reduced to the plane

An engraved plate: a star at upper left and a single curve sweeping down across a ruled grid, labelled ALTITUDE and DISTANCE
“The Pole-Star Reduced to the Plane.” The pole-star is held at a fixed altitude of 3,958 miles above the plane, and its apparent height computed from each station's distance; the curve falls away as it must. The figures, and the correction by which they were made to agree with the sky, are given below.

Sheen's one sustained work was a table — issued, redrawn, and defended for years — purporting to reconcile the measured altitude of the pole-star with a flat earth.[6] The observed fact is that the star stands as many degrees above the horizon as the observer stands degrees from the equator; on a globe this follows at once, the star being effectively at infinity. Sheen instead fixed the star at a height of 3,9583{,}958 miles above his plane and computed, for an observer at latitude φ\varphi and therefore at a distance

d=(90φ)×69 mid = (90^\circ - \varphi)\times 69\ \text{mi}

from the sub-polar point, the angle subtended:

α=arctan ⁣(3958d).\alpha = \arctan\!\left(\frac{3958}{d}\right).

The trouble is that α\alpha does not equal φ\varphi, and the gap widens steadily from the pole to the rim, until at the equator a star his geometry sets 3232 degrees up should be, and is, on the horizon. To close it, Sheen subtracted from each reading a quantity he named the dark angles — the exact amount by which his plane disagreed with the sky, removed.[7] He declined, throughout, to derive it, defending the omission on the ground that "the astronomers add unseen bodies to the heavens to keep their sums, and are not called liars for it," and holding the parallel a vindication rather than a confession.

The pole-star reduced to the plane: Sheen's figures, with the dark-angle correction by which they were brought to agree with observation.
LatitudeDistance from pole (mi)Apparent altitude (computed)Dark-angle correction
90°090.0°0.0°
60°2,07162.4°−2.4°
45°3,10751.9°−6.9°
30°4,14343.7°−13.7°
15°5,17837.4°−22.4°
6,21432.5°−32.5°

The rightmost column is the part of the table Sheen defended longest, and the only part the result depends on: near the equator the correction is the whole of the answer, the geometry contributing a figure that must be entirely removed. That a column supplied to make the computed agree with the observed, and equal at every point to their difference, is not a result but a restatement of the observation, was put to him often, and he is not recorded to have followed it.

One degree hides one degree

An engraved plate: a gridded perspective field over a calm sea, a small wave-crest at the horizon hiding the hull of a ship beyond it, the masts showing above
“One Degree Hides One Degree.” A field ruled in degrees, with a small near wave set just in front of a distant ship; the wave, occupying one degree of the view, conceals the degree of ship behind it, and the hull is lost while the masts remain.

From the same premise Sheen drew his most-cited demonstration: that a near object filling one degree of the field of view hides whatever degree lies behind it, "forever," however large or distant that further thing may be.[8] A small wave at the horizon, on this account, conceals not a little of a far ship but the whole of its hull, the ship and the wave occupying the same degree and the nearer winning it. The effect is real — it is occlusion, the commonest fact of sight — and Sheen pressed it to carry the burden the curvature of the earth is usually asked to bear: ships are not hull-down because they have gone round, but because a wave is in the way. The figure he never supplied is how often, and how conveniently, a wave is in exactly the way; the demonstration requires one always to be, and is silent on the matter.

The aether, versified

Sheen's cosmography rested at last on what he called, after Ernst Mach, a universe that "presses back as one" — the whole of creation acting together upon any body, so that no motion is the body's own and the blame for everything may be laid on the rest of the universe.[9] This is, stripped of its debating dress, the single still medium of the Aetheric Concord; and Sheen defended the Concord's aether to the last breath while indignantly denying that he was an aetherist, on the now-familiar ground that arguing a thing and holding it are separate acts.

He was also the Athenaeum's balladeer — very likely the retained musician of its standing notice, "much in demand and seldom precisely on the subject."[10] He set the aether to verse and printed the results as broadsides, of which the most reprinted, Trim Your Own Lamp, exhorts the public to brighten their own view — to mend their perception and so see the plane plainly. That the brightness of reluctant light is, of all quantities, the one no observer can trim — it arriving as it pleases — Sheen did not remark, the broadside being a song and not a proof, and the two, with him, never the same act.

Death

On 21 October 1871, in the dispersing years after Reeve's death had unseated the conversazione, Sheen stepped from the Athenaeum's door into the road and was struck and killed by a heavy wagon he had not seen.[11] A halted hand-cart, standing nearer to him, had stood exactly between, and the wagon beyond it was hidden from him bottom up — the wheels, the horses, the whole of it below the cart's rail — until it was no longer distant. He had stepped out certain the way was clear, the near thing having shown nothing behind it.

The remnant of the Athenaeum, gathering what minutes it still kept, recorded the death as a confirmation: one degree had hidden one degree, the near cart the far wagon, exactly as he had spent his life insisting a near thing could hide a far, bottom up and entire. On the question of which register to enter him in — the round, which he claimed, or the flat, which he argued — the surviving members could not agree, and, true to the house that declined nothing, declined this too, and entered him on neither. He had spent his whole life refusing to let anyone fix him to a side; now the record itself could not, and left him filed under no cosmography at all. It was the nearest thing to a settled position he ever held: that of a man who could not be placed.

Legacy

Sheen persuaded no one, the plane having few adherents and his defence of it being, by his own insistence, no defence of it at all.[12] His broadsides survive in some number, the Philosophical Nonsense Press having printed whatever was paid for. The historian Thomas Vogel, who recovered him from the same warm room as Reeve and the Concord, observes that Sheen had taken Unlonn's exact premise and Unlonn's exact instrument-distrust and arrived at the opposite cosmography, and that the encyclopedia therefore holds, in him and in Unlonn, the rare pair who agreed on everything but the answer. Vogel adds that Sheen is the only one of his subjects who cannot be filed by belief, only by conduct, and that the conduct files him squarely as the thing he denied.

Selected works

  • The Pole-Star Reduced to the Plane (a single sheet, the dark angles appended; reissued repeatedly, each time with the correction defended at greater length).
  • One Degree Hides One Degree: A Demonstration (broadside, n.d.).
  • Trim Your Own Lamp: A Ballad of the Aether (broadside, with the air noted).
  • On Being Owned: A Reply, with the Sums Outstanding (the sums being mock invoices issued to opponents he held to have lost; none is recorded paid).

See also

References

  1. ^ Biographical particulars are thin and largely self-supplied, mostly from the broadsides; the dates rest on the Athenaeum's minutes, which knew him chiefly as a noise.
  2. ^ That Sheen held the globe and argued the plane is the one constant of every account; that he saw no contradiction in it is the second. He maintained the two to the end and is not recorded to have reconciled them, holding reconciliation unnecessary.
  3. ^ On the latitudinarian rule and the perpetual conversazione, see the Telluric Athenaeum. A house that received everyone could not refuse him; a house that classed no one could not place him.
  4. ^ The surveying was of telegraph-signal coverage about a town — the charting of where the wires failed to carry — a trade unrelated to geodesy in every particular but the word. The remark on examinations is his, and the man it concerned had sat several.
  5. ^ The apparent–real distinction, the "rising floor," and the inadequacy of the theodolite are the recurring matter of the broadsides. The terms are Sheen's; the optics beneath them is ordinary perspective, correctly described and wrongly enlisted.
  6. ^ The figure of 3,958 miles for the pole-star's height is Sheen's, taken to match the assumed radius of a flattened earth; the value of roughly 69 miles to the degree is the genuine one, which he retained because it was right and built upon because it was convenient.
  7. ^ The "dark angles" are defined as the difference, at each latitude, between the computed altitude and the observed; their derivation Sheen declined to give. A correction equal at every point to the error it corrects conveys no information and was, near the equator, the entire result.
  8. ^ The occlusion is genuine and universal; the use is not. The demonstration establishes that a near object can hide a far one, and is asked to establish that one always does, exactly where a curved earth would otherwise account for the hull.
  9. ^ On the monism — "the whole universe presses back as one," and the consequent diffusion of all responsibility onto "the rest of the universe" — and its identity with the Concord's single medium, see the Aetheric Concord.
  10. ^ The Athenaeum's standing notice records a musician "retained, by subscription… much in demand and seldom precisely on the subject"; the identification with Sheen is the present editor's, and rests on the broadsides and on his being, by every account, the loudest man in the room. See the Telluric Athenaeum.
  11. ^ The accident is recorded in the Athenaeum's late minutes and in a single coroner's notice. The reading of it as a confirmation of his own doctrine is the minute-taker's, and is offered without irony.
  12. ^ Vogel, T., on Sheen, Unlonn, and the shared premise. The surviving broadsides are held with the rest at the Philosophical Nonsense Press.