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Authors: Neal Stephenson

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C’est juste
. Though there is a troublesome banker, not far from here, who seems to value it in
both
the monetary and the Alchemical sense.” Leibniz, who until this point in the conversation had been the embodiment of good cheer, deflated as he was saying these words, as if he had been reminded of something very grave, and his eye strayed over to the outlandish red-leather book. This topic had had the same effect on his spirits as a handful of earth tossed into a fire. Again, Fatio allowed some moments to pass before he responded; for he was studying Leibniz carefully.

“I think I know who you mean,” Fatio said finally.

“It is most curious,” Leibniz said. “Perhaps you have heard some of the same stories concerning this as I have. The entire controversy, as I understand it, revolves around a belief that there is a particular sample of gold, whose precise whereabouts are unknown, but that possesses some properties that make it more valuable, to Alchemists, than ordinary gold. I would expect a
banker
to know better!”

“Do not make the error of believing that all gold is the same, Doctor.”

“I thought Natural Philosophy had proved at least
that
much.”

“Why,
some
would say it has proved the
opposite
!”

“Perhaps you have read something new in London or Paris that I have not seen yet?”

“Actually, Doctor, I was thinking of Isaac’s
Principia.

“I have read it,” Leibniz said drily, “and do not recollect seeing anything about gold.”

“And yet it is clear enough that two planets of equal size and composition will describe
different
trajectories through the heavens, depending on their distances from the sun.”

“Of course—that is necessarily true, by the inverse-square law.”

“Since the two planets
themselves
are equal in every way, how can this difference in their trajectories be accounted for, unless you enlarge your scope of observations to include the difference in their situations vis-à-vis the sun?”

“Monsieur Fatio, a cornerstone of
my
philosophy is the identity of indiscernibles. Simply put, if A cannot be discerned from B, then A and B are the same object. In the situation you have described, the two planets are indiscernible from each other, which means that they ought to be identical. This includes having identical trajectories. Since they are obviously
not
identical, in that their trajectories differ, it follows that they must in
some
way be discernible from each other. Newton discerns them by assigning them differing positions in space, and then presuming that space is somehow pervaded by a
mysterious presence that accounts for the inverse-square force. That is, he discerns one from the other by appealing to a sort of mysterious external quality of space…”

“You sound like Huygens!” Fatio snapped, suddenly annoyed. “I might as well have stayed in the Hague.”

“I am sorry if the tendency of me and Huygens to agree causes you grief.”

“You may agree with each other all you like. But why will you not agree with Isaac? Can you not perceive the magnificence of what he has achieved?”


Any
sentient man can perceive that,” Leibniz returned. “
Almost all
will be so blinded by its brilliance that they will be unable to perceive its flaws. There are only a few of us who can do that.”

“It is very easy to carp.”

“Actually it is rather difficult, in that it leads to discussions such as this one.”

“Unless you can propose an alternative theory that mends these supposed flaws, I believe you should temper your criticisms of the
Principia.

“I am still developing my theory, Monsieur Fatio, and it may be a long time before it is capable of making testable predictions.”

“What conceivable theory could explain the discernibility of those two planets, without making reference to their positions in absolute space?”

 

T
HIS LED TO AN INTERLUDE
in the snow outside. Doctor Leibniz packed two handfuls of snow together between his hands, watched warily by Fatio. “Don’t worry, Monsieur Fatio, I’m not going to throw it at you. If you would be so helpful as to make two more, about the size of melons, as like to each other as possible.”

Fatio was not quick to warm to such a task, but eventually he squatted down and began to roll a pair of balls, stopping every couple of paces to pound away the rough edges.

“They are as close to indiscernible as I can make them under these conditions—which is to say, in twilight with frozen hands,” shouted Fatio towards Leibniz, who was a stone’s throw off, wrestling with a snowball that weighed more than he did. When no response came back, he muttered, “I shall go in and warm my hands if that is acceptable.”

But by the time Nicolas Fatio de Duillier had got back to Leibniz’s office, his hands were warm enough to do a few things. He took another look at the papers stuck into the Chinese book. The letter from Eliza was inordinately long, and appeared to consist entirely of
gaseous chatter about what everyone was wearing. Yet on top of it was the other document, addressed
to
the Doctor but written
in
the Doctor’s hand. A mystery. Perhaps the book was a clue? It was called
I Ching
. Fatio had seen it once before, in the library of Gresham’s College, where Daniel Waterhouse had fallen asleep over it. The sheaf of papers had been used to mark a particular chapter entitled:
54. Kuei Mei: The Marrying Maiden
. The chapter itself was a bucket of claptrap and mystickal gibberish.

He put it back where he’d found it, and went over to the shed’s single tiny window. Leibniz now had his back pressed against an immense snowball and was trying to topple it over by thrusting with both legs. Fatio strolled once around the room, pausing to riffle through any prominent stacks of papers that presented themselves to his big pale eyes. Of which there were several: letters from Huygens, from Arnauld, from the Bernoullis, the late Spinoza, Daniel Waterhouse, and everyone else in Christendom who had a flicker of sense. But one of the larger stacks consisted of letters from Eliza. Fatio reached into the middle, grabbed half a dozen leaves between his thumb and index finger, and snapped them out. He folded them and stuffed them into his breast pocket. Then he ventured back outside.

“Are your hands warm, Monsieur Fatio?”

“Exceeding warm, Doctor Leibniz.”

The Doctor had arranged the three snowballs—one giant one and the two small indiscernibles—on the field between the stable, the Schloß, and the nearby Arsenal. The triangle defined by these balls was nothing special, being neither equilateral nor isosceles.

“Isn’t this how Sir Francis Bacon died?”

“Descartes, too—froze to death in Sweden,” the Doctor returned cheerfully, “and if Leibniz and Fatio can go down in the annals next to Bacon and Descartes our lives will have been well concluded. Now, if you would be so good as to go to that one and tell me of your perceptions.” The Doctor pointed to a small snowball a few paces in front of Fatio.

“I see the field, the Schloß, Arsenal, and Library-to-be. I see you, Doctor, standing by a great snowball, and over there to the right, not so far away, a lesser one.”

“Now pray do the same from the other snowball that you made.”

A few moments later Fatio was able to report: “The same.”

“Exactly the same?”

“Well, of course there are slight differences. Now, Doctor, you and the large snowball are to my right, and closer than before, and the small snowball is to my left.”

Leibniz now deserted his post and began stomping towards Fatio. “Newton would have it that this field possesses a reality of its own, which governs the balls, and makes them discernible. But I say the field is not necessary! Forget about it, and consider only the balls’
perceptions.

“Perceptions?”

“You said yourself that when you stood
there
you perceived a large snowball on the left, far away, and a small one on the right.
Here
you perceive a large one on the right, near at hand, and a small one on the left. So even though the balls might be indiscernible, and hence identical, in terms of their external properties such as size, shape, and weight, when we consider their
internal
properties—such as their
perceptions
of one another—we see that they are different. So they
are
discernible! And what is more, they may be discerned without reference to some sort of fixed, absolute space.”

By now they had, without discussion, begun trudging back towards the Schloß, which looked deceptively warm and inviting as twilight deepened.

“You seem to be granting every object in the Universe the power to perceive, and to record its perceptions,” Fatio ventured.

“If you are going to venture down this road of subdividing objects into smaller and smaller bits, you must
somewhere
stop, and stick your neck out by saying, ‘
This
is the fundamental unit of reality, and
thus
are its properties, on which all other phænomena are built,’ ” said the Doctor. “
Some
think it makes sense that these are like billiard balls, which interact by colliding.”

“I was just about to say,” said Fatio, “what could be simpler than that? A hard wee bit of indivisible matter. That is the most reasonable hypothesis of what an atom is.”

“I disagree!
Matter
is complicated stuff. Collisions between pieces of matter are more complicated yet. Consider: If these atoms are infinitely small, why, then, is it not true that the likelihood of one atom colliding with another is essentially zero?”

“You have a point,” said Fatio, “but I hardly think it is somehow
simpler
to endow these atoms, instead, with the ability to perceive and to think.”

“Perception and thought are properties of souls. It is no worse to posit that the fundamental building-block of the Universe is
souls
than to say it is wee bits of hard stuff, moving about in an empty space that is pervaded by mystickal Fields.”

“Somehow a planet’s perception of the sun and all the other planets, then, causes it to behave exactly as if it were in such a ‘mystickal Field,’ to an uncanny degree of precision.”

“I know it sounds difficult, Monsieur Fatio, but ’twill work out better in the long run.”

“Physics, then, becomes a sort of vast record-keeping exercise. Every object in the Universe is distinguished from every other object by the uniqueness of its perceptions of all the other objects.”

“If you think on it long enough you will see it is the only way to distinguish them.”

“Why, it is as if every atom or particle—”

“I call them monads.”

“Monad, then, is a sort of Knowledge Engine unto itself, a Bücherrad-rad-rad-rad…”

Leibniz summoned a weak smile.

“Its gears grind away like the ones in your Arithmetickal Engine, and it decides what to do of its own accord. You knew Spinoza, did you not?”

Leibniz held up a warning hand. “Yes. But pray do not put me in with him.”

“If I may just return to the topic that got us started, Doctor, it seems to me that
your
theory allows for a possibility you scoffed at—namely, that two lumps of gold might be different from each other.”

“Any two such lumps
are
different, but it is because, being differently situated, they have different perceptions. I am afraid that
you
want to assign mystickal properties to some gold and not other.”

“Afraid why?”

“Because the next thing you’ll do is melt it down to extract that mystery and put it in a phial.”

Fatio sighed. “In truth,
all
these theories have their problems.”

“Agreed.”

“Why not admit it, then? Why this stubborn refusal to consider Newton’s system, when yours is just as fraught with difficulties?”

Leibniz drew to a halt before the front stoop of the Schloß, as if he’d rather freeze than continue the discussion where it might be overheard. “Your question is dressed up in the guise of Reason, to make it appear innocent. Perhaps it is. Perhaps not.”

“Even if you do not think me innocent, pray believe that my confusion is genuine.”

“Isaac and I had this conversation long ago, when we were young, and matters stood quite differently.”

“How odd. You are the only person, other than Daniel Waterhouse, who has ever called him by his Christian name.”

The look of uncertainty on Leibniz’s face now hardened into open disbelief. “What do
you
call him, when the two of you are alone together in your London house?”

“I stand corrected, Doctor. There are
three
of us who have known him thusly.”

“That is a very clever sentence you just uttered,” Leibniz exclaimed, sounding genuinely impressed. “Like a silken cord turned in on itself and knotted into a snare. I commend you for it, but I will not put my foot in it. And I will thank you to keep Daniel out of it as well.”

Fatio had turned red. “The only thing I wish to snare is a clearer understanding of what has passed between you and Isaac.”

“You want to know if you have a rival.”

Fatio said nothing.

“The answer is: you do not.”

“That is well.”

“You do not have a rival, Fatio. But Isaac Newton does.”

*
In this context meaning a
cavalry
stable, a large structure situated near a palace, and serving as home and headquarters for a military organization, as opposed to a barn for keeping beasts out of the rain.

*
Wheel of Books.

Ireland

1690–1691

T
HE
K
ING’S
O
WN
B
LACK
T
ORRENT
Guards had been founded by a man King William did not like very much (John Churchill), and as a sort of punishment for that, the regiment had now been exiled in Ireland for almost two years. Bob Shaftoe had learned many things about this island during that time: For example, that it was commonly divided into four pieces, which were variously styled Kingdoms or Duchies or Presidencies or Counties depending on whom you were talking to and what peculiar notions they held concerning the true nature and meaning of Irish history. Connaught was one, and the others were Ulster, Leinster, and Munster.

Bob heard about Connaught first, but saw it last. Nevertheless, he felt he knew something of it. He had heard endless discourse of it during the last thirteen years from his Irish “out-laws,” the kin-folk of the late Mary Dolores, most of whom bore the surname of Partry.

Until of late, the Partry clan and their swine, kine, assorted free-ranging poultry, and one bewildered sheep had teemed in a bit of shed in Rotherhithe, which lay across the Thames from Wapping, about a mile downstream of the Tower of London. Teague Partry—one
of three Partrys who had, at one time or another, enlisted in the Black Torrent Guards—had often volunteered to stand watch on Develin Tower, the extreme southeastern vertex of the citadel, in spite of the fact that it was sorely exposed to raw weather coming up the River, and detested by all of the other soldiers. The cold wet winds, he claimed, reminded him of Connaught, and from his Develin vantage point he could see all the way downriver to Rotherhithe and keep an eye on his four-legged assets. Teague rhapsodized about Connaught all the time, and did it so convincingly that half the regiment was ready to move there. Bob had taken it with a grain of salt because he knew that Teague had never in his life ventured more than five miles’ distance from London Bridge, and was merely repeating tales told to him by his folk. From which Bob had collected, very early, something that it would have benefited the Partrys to know, namely that Ireland was a mentality, and not a physical place.

After the Revolution the Partrys had slaughtered all their livestock, deserted their Regiment, gathered up what money they could, and escaped to Dublin. Several months later, Bob had been shipped to Belfast with the rest of his regiment, and with the Dutch colonel who’d been put in command of it. Now, King William found John Churchill hard enough to trust when he was inside London Wall. He could not possibly bring himself to trust Marlborough (or any other English commander) with an elite regiment on Irish soil, especially when Churchill’s former master, James, was only a few marches south, in Dublin. So it was under a Colonel de Zwolle that the King’s Own Black Torrent Guards voyaged to Belfast, and under him that they tarried on that island over two winters. When Bob next saw Churchill, he would assure his old chief that he had not missed a thing.

From their point of disembarkation the regiment had marched south for a few days, and then wintered over in a camp at Dundalk, which lay near the border between the part of Ireland called Ulster and the one called Leinster. Out of a full strength of 806 men they suffered casualties of thirty-one dead, thirty-two so disabled that they had to be retired, and many hundreds who were laid low for a time but later got better. Most of these casualties were put down to disease or hunger, a few to accidents and brawls—zero to combat, of which there was none. This was an exceptionally good record.

They were encamped near a Dutch regiment commanded by one of Colonel de Zwolle’s old drinking-and hunting-buddies. The Dutch soldiers suffered very little from disease, though they were every bit as cold and hungry. They kept their camp so clean that it was mocked as “the Nunnery” by certain men in Bob’s regiment, who espoused a more temperate approach to hygiene. But when English
soldiers began dying at a rate of several per day, the Black Torrent Guards finally began to pay some attention to de Zwolle’s nagging and to emulate some of the practices of their Dutch neighbors. Coincidentally or not, the number of men sick in bed began to drop not long afterwards. When spring came and the rolls were called, it was found that they had suffered much lighter casualties than other English regiments.

In June 1690, then, William of Orange finally arrived in Ulster as only a King could, viz. with three hundred ships, fifteen thousand troops, hundreds of thousands of pounds sterling, more Princes, Dukes, and Bishops than a boat-load of playing-cards and chess-sets, and a lot of Dutch artillery. He marched south, pausing at Dundalk long enough to collect the regiments that had wintered over there, and then invaded Leinster at the head of thirty-six thousand men. He made straight for Dublin, where James Stuart had established his rebel Parliament. King William had a wooden house, designed by one Christopher Wren—that same bloke who was building the new St. Paul’s in London. It was ingeniously made so that it could be taken down in sections at a few minutes’ notice, transported on wagons, and put back up again wherever William decided to establish his headquarters. Normally he erected it in the midst of his army, which was not at all usual for a campaigning King, and made a good impression on his soldiers.

James Stuart had been spoiling for a fight for a year and a half. He marched north from Dublin at the head of twenty-five thousand men and, after some preliminary maneuvering, set up a position on the south bank of the river called Boyne.

The next day, William was reconnoitering the north bank in person, looking for crossing-places, when a Jacobite cannonball hit him on the shoulder and knocked him off his horse. Jacobites on the opposite bank saw it happen, and saw a vaguely king-shaped object being carried away in haste by agitated Protestants.

What they could not see, from that side of the Boyne, was that the cannonball was a spent ricochet that had glanced off William’s shoulder and dealt him no serious harm. They made the wholly reasonable assumption that William the Usurper was dead and reported as much up the chain of command.

The next day William launched a diversionary attack across the Boyne not far from where he had been hit. He waited for James to move his main force that way, then crossed the river in force elsewhere. The first to mount this main attack were William’s best and favorite soldiers, the Dutch Blue Guards. But they were followed closely by several companies of the King’s Own Black Torrent
Guards, a plum job that never would have been afforded them if they’d been under the command of Marlborough. De Zwolle had spent the winter plying his superiors with brandy and sending letters to London; that probably explained how Bob and his men were given such a splendid opportunity to have their heads hacked off in a bog. They crossed the Boyne, at any rate, and formed up on the south bank, and withstood several Jacobite cavalry charges. This was not an easy thing to do. They did it in direct view of King William, who had found a vantage point on the north bank from which to observe his beloved Blues.

The captain of Bob’s company was killed very early and so Bob had to assume effective command of threescore men for the rest of the day. This had very little effect on anything. Whether or not their captain was alive, Bob’s job was to get his men to believe that they really were safer standing together as a unit, as opposed to throwing their muskets down and diving into the river. Far be it from Bob to think about his company’s or his regiment’s reputation at Court.

If he had thought about it, he might have counseled his men to break and run instead.

That night the King came to their camp to tell them what fine fellows he thought they were. Now the Irish Army had simply vanished; the only evidence they’d been present at the Boyne was the thousands of pikes and muskets they had thrown down on the ground, the better to outrun their pursuers. King William’s host had climbed up out of the river-valley and spread out across churned and trampled pastures between the hamlet of Donore and the village of Duleek—places that, like færies, were spoken of, by Irishmen, as if they really existed, but that could not actually be seen. As they went they harvested the dropped weapons, hugging bristly faggots of them to their chests and finally letting them drop in clanking heaps when they decided to set up camp.

As their baggage had not caught up with them, they spent the night in the open, and as there were no trees hereabouts they used the captured weapons for firewood. They were not worth keeping as weapons—a fact that was obvious to Bob, but tended to be ignored by those who espoused the view that the Irish had thrown them down out of cowardice. Bob found flintlocks without flint, muskets with cracked barrels, pikes that could be snapped over the knee.

A few hours after nightfall, anyway, they received their King. He had suffered an asthma attack while fording the river and was still wheezing piteously—which evidently hurt, because of the cannonball injury—so he tended to speak in very short sentences. He was sitting askew on a tired horse. He spoke in Dutch to de Zwolle and
then in English to the company captains and to Bob. He did not look at them, however; he was very close to falling asleep in the saddle, and could not tear his eyes away from the musket-bonfires.

What he said was that, with regiments such as his own Black Torrent Guards, he could not only take Ireland but Flanders, too, and fight all the way to Paris.

Bob stayed up late gazing into the fire, which was slowly devolving into a red tangle of melted gun-barrels, and pondered some of the longer-term implications of the King’s statement. Overall, the notion was somewhat troubling. On the other hand, an invasion of France might afford him an opportunity to seek out Miss Abigail Frome.

The next day they left the field pimpled with smoking twists of blackened iron and marched south to Dublin. James Stuart had already run off to France. Protestants were running wild, looting Catholic homes. Bob ventured into a certain quarter where Protestants were more apt to behave themselves, if indeed they went there at all. He found Teague Partry sitting on a stoop smoking a clay pipe and gravely observing the bums of passing milk-maids, as if nothing much had happened recently. But the right side of his face was flushed red, as if sunburnt, and pocked with recent wounds that all appeared to have radiated from a common center.

Teague bought him a mug of beer (it being Teague’s turn to do this) and explained to him that James’s foreign cavalry regiments had panicked first and, finding their escape route blocked by the Irish infantry, had opened fire on them to clear the way. He put it to Bob that Irishmen had it in them to fight effectively when they were not being massacred by Continental cavaliers who were supposed to be on their side, and (pointing significantly to his face) when they were provided with guns that projected musket-balls instead of blowing up in their faces. Bob agreed that it was so.

Later the bulk of William’s army marched west across the island, out of Leinster and into the southern realm of Munster. They laid siege to Limerick, which was one of the few places in Ireland that had proper fortifications, and could serve as the venue for a proper military engagement. Unfortunately, the Irish had little use for proper military engagements. William’s Dutch cannons blasted a hole in the city wall; Bob rushed in at the head of his company and got conked in the head by a bottle hurled at him from the top of a ruin by a massive hag in a wimple, screaming something at him in Gaelic. Bob, who knew nothing about his father, or his mother’s father, had long been preoccupied by the suspicion that he might be partly, or even largely, Irish, and while he lay unconscious on the
rubble of the shattered wall of Limerick, he had a strange dream concerning the nun who had thrown the bottle—the import of it was that she was his great-aunt or something, scolding him for everything bad he had ever done.

His skull was merely dented, but his scalp was nearly taken off, and had to be sewed back on by a barber-surgeon who advised him to grow his hair back again as soon as he could; “And for god’s sake get a wife before you go bald, or women and children will run away from you screaming!” He was only trying to be cheerful, but Bob growled at him that he had already found his true love, and that scars on his pate were the least of his concerns.

The Earl of Marlborough finally got leave from the distracted King to sail across to Munster. He took the cities of Cork and Kinsale, but he did it without the help of his Black Torrent Guards. Then he went home to spent a comfortable winter in London while Bob and the regiment remained encamped outside of Limerick, fending off occasional sorties by the Irish cavalry, and keeping up a running, sporadic battle with bands of armed peasants who styled themselves “rapparees.”

The rapparees actually
did
have firearms that worked, and had learned to strip them down into their parts in seconds. The locks they kept in their pockets, the barrels they corked shut and hid in sloughs or streams, the stocks they thrust into wood-piles, or anywhere else a bare stick might go unnoticed. So what appeared to be a crew of half-naked peat-cutters or a congregation strolling to Mass could scatter into the waste at a word or a gesture, and reconstitute itself an hour later as a band of heavily armed marauders.

Because of the rapparees there were few places on the island, outside of Ulster, where Englishmen could feel safe in groups of less than an infantry company. But one of those places was the south bank of the river Shannon just downstream of Limerick. As the winter eased, and the hair grew back over his wound, Bob began to go there by himself and sit under a solitary tree overlooking the river and smoke his pipe and brood. The reading of books was not available to him. He’d lost his interest in whoring. He had heard his men’s stories, jokes, and songs so many times he could not suffer them any more. Drink made him feel poorly, and card-playing was pointless. He suffered, in other words, from a want of things that he could do to pass the time.

So he sat under his brooding-tree and gazed across the wide river Shannon. Like all the other rivers of the British Isles, it had a long estuary leading in from the sea to a port (Limerick in this case) that had been built where the river first became narrow enough to be
bridged. The Shannon was the boundary between Munster and Connaught, and so by looking across it Bob could gaze into that land of legend so highly spoken of by the Partrys. From here Connaught looked like the rest of Ireland. But what did he know?

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