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

  THE KING’S OWN BLACK TORRENT Guards had b
een 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 hereabou
ts 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.