Nineteenth or TWENTIETE º -- - - - - - - - - --------- By ORD -O-O LS- NINETEENTH OR TWENTIETH 7 THE BATTLE OF THE CENTURES By LORD HOBHOUSE Office of ºublication: Rooms arºs-29-30-31, Park Row Building NINETEENTH OR TWENTIETH P THE BATTLE of THE CENTURIES. The last few weeks have witnessed one of the ever-recur- ring rebellions of the human mind against authority and re- ceived tradition which serve to stimulate thought and to re- mind those in authority that their position is never safe from attack, and that they must be prepared to defend it by argu- ment. Such rebellions usually take place in the regions of religion, of politics, of physical science, of literature, or of taste. They are successful quite often enough to give hope to those who desire reaction or further innovation; and, though they are often vexatious, they provide safeguards against stagnation. The late rebellion, however (if indeed it is safe to speak of it as “late,” for we may be walking per ignes suppositos cineri doloso), is not in any of these departments of human affairs. This is a rebellion partly against arithmetic and partly against the prevailing canons of evidence. Such rebellions are not very common. In arithmetic extravagant statements are the commonest things in the world, as when we see that a meeting in Hyde Park is attended by many thousands of peo- ple according to one newspaper, and by a few hundreds ac- cording to another, or as when I open my watch and find that * Originally printed in the “Contemporary Review,” March, 1900, 3 - 4. NINETEENTH OR TWENTIETH > its maker had many years ago turned out 47,990 other watches. Plenty of examples will occur to everybody, but such statements are rather of the nature of fictions pleasant to the narrator than of revolts against an established rule. Against received canons of evidence we do sometimes see what is more like sustained and organized revolt; as when a murderer, and especially a female murderer, is sentenced to death. But such revolts are due to opinions held without reference to the merits of any particular case, and rather re- semble refusals to believe, or, as the case may be, to dis- believe, that which is disagreeable. It is quite a different thing to miscount a hundred or nineteen hundred years, and, when the miscounting has been exposed, to suggest that, hav- ing made an error in the initial year, we have been miscalling our years ever afterwards. I expected that, when the mistake was once exposed, the dispute would end, but, finding that fresh combatants were ever entering the field, I thought the phenomena so marvellous as to deserve study. So, beginning on the first day of this year, - I cut out from the ‘‘ Times '' its columns of letters on this subject down to the sixth day—when the stream ceased in that quarter. I wish I had begun earlier, but I judge from the numerous repetitions of statements in these six days, and from my inability to remember having read any substantially different statements on former days, that these letters, sixty in number, do really cover the whole controversy between the parties who may, for brevity, be called the Nineteens and the Twenties. With these materials I am trying to classify and THE BATTLE OF THE CENTURIES 5 partially to examine the considerations on which the Twenties rest their opinions. I give the dates of the letters according to their appearance in the “Times.” The Nineteens may fairly be said to be in possession of the ground. How far back in history this controversy extends I do not know. In the year 1800 it seems to have been a mat- ter of doubt to men of high attainments. On January 1, P.H.B. records a bet, in which Sheridan maintained what would then be the side of the Nineteens (the present Twenties) against the Eighteens (the present Nineteens)—who were represented by a Mr. Richardson. The bet was decided by Fox, whose letter is worth quoting. It is addressed to Richardson: ST. ANN's HILL, Monday. DEAR SIR,-I received your letter with its enclosure on my return to this place on Saturday, and have deferred answering it till to-day only that I might not appear to give a hasty opinion. Indeed, I had so strong a prepos- session that you were in the wrong, from the arrogant manner in which you state the case, that I wanted some time to enable me to believe it possible that you could be in the right; but, afterwards searching for all possible grounds or even pretences for deciding against you, Iown I can find none. Fox’s decision was conveyed in these terms: “I think Mr. Richardson right.” So that Fox had impressions in favor of the then Nineteens till he thought over the matter carefully, when he found that they had not a leg to stand upon. On January 2, L.E. H. supplies a quotation from the “Gen- tleman’s Magazine,” of April, 1800, in which the authority of the French astronomer Lalande is cited. I give it at length as being not only interesting in itself, but because it touches what I believe to be the tap-root of the fallacy which has beguiled the Twenties: 6 NINETEENTH OR TWENTIETH 2. In France as in England there have been disputes about the commencement of the nineteenth century. The astronomer Lalande thus determines the question, which, he says, was equally agitated at the end of the last century, he having in his library a pamphlet published on the subject. “Many persons imagine that, because, after having counted 17, they commence 18, the cen- tury must be changed; but this is a mistake, for, when 100 years are counted, we must pass from 99, and we arrive at 100. We have changed the ten be- fore we have finished the 100. Whatever calculation is to be made, we com- mence by one and finish by 100. Nobody has ever thought of commencing at 0 and finishing by 99.” Thus, he concludes, the year 1800 incontestably be- longs to the eighteenth or old century. On January 5 Sir Courtenay Boyle supplies an article from the “Times” of December 26, 1799, which is as emphatic as befits an authority from which there is no appeal. It notes the controversy, and decides it contemptuously in favor of the then Eighteens—the now Nineteens. - More weighty than this utterance from on high are the instances in which, without reference to any controversy at all, it has been assumed by responsible persons, who must have known perfectly well that there was in fact a dispute, that the nineteenth century began on January 1, 1801. Such is the case in the Annual Register for 1801, and in the rejoicings over the Act of Union with Ireland, which was celebrated as coming into force on the first day of the nineteenth century—i.e., January 1, 1801. (See letter of H.P.B., January 1.) After this the controversy abated, and there was no great disturbance of the peace till there came the fatal change of eighteen into nineteen, which caused the same amount of bewil- derment as the change from seventeen into eighteen. I have a firm belief, founded on conversations with many persons, that with the majority of doubters it is simply the change of figures THE BATTLE OF THE CENTURIES 7 which occasions the doubt. How the doubt can survive the simple process of counting is to me not easily intelligible; but it does so, and then recondite reasons are sought after in order to justify it. I have found my personal experiences as to the genesis of the dispute confirmed by the correspondence under review. Lalande, as above quoted, puts his finger on it. On January 1, J. F. Hogan states the point in its naked sim- plicity: Surely the first two figures constitute the index to the century. When we part on Monday with the familiar 18, and begin to write 19 at the head of our letters, we cannot help being practically conscious of a change of century, whatever academic arguments to the contrary may be. That is his whole argument on the chronology of the case, though he goes on to argue it on grounds of general con- venience and expediency, and thinks that everybody will agree with him. To use one of the commonest illustrations in this matter, what would happen if somebody owing Mr. Hogan two cen- turies of sovereigns were to tell them out of a bag—1, 2, and so forth to 99–and then say: “That is one century; now let us begin another ‘’P Would not Mr. Hogan say: “But you have not finished the first yet, there’s a sovereign want- ing,” and would he be satisfied by the debtor telling him that he must have a practical consciousness that the second century began when the one hundredth sovereign was produced out of the bag, and then went on to argue about general expediency and so forth? Surely he would say that it was a pure matter of counting; that the first century was not completed till the one hundredth sovereign had been added to the previous 8 NINETEENTH OR TWENTIETH 2 ninety-nine; and that practical consciousness and general expediency were nothing to the purpose. I possess a drawing by a lady who at one time betook her- self to comic illustrations of the titles of novels. She had selected one called “He knew he was right,” and she de- picted a schoolboy sitting before a black-board. He had just added two to two, and, having brought out the sum as five, had turned round with a look of assured triumph to receive the plaudits of the world. The artist did not disclose the sequel. Probably it would have shown that practical con- sciousness in matters of arithmetic, however complete, did not compensate for lack of attention to rules. On the same day E. J. Reed writes rather more elaborately. He says, rightly enough, that in the first place we should be clear what we mean by a century. He then admits that arithmetic favors the Nineteens, and that “ for astronomical and other purposes requiring the exact measurement of long periods of time we must remember that the nineteenth century does not end till the 31st of December, 1900.” But then he says that, as a matter of “nomenclature and usage,” it is no less certain that the nineteenth century ends on 31st December, 1899, and that “for the practical purpose of fixing dates and records” the new century begins this year. we rub our eyes and ask Why? For no other reason than this, -that in dating his letters he will begin with the figures 19 instead of the fig- ures 18. This is the “practical consciousness” of Mr. Hogan, only preceded by the candid admission that it won’t suit long periods of time. For astronomers and people of that THE BATTLE OF THE CENTURIES 9 sort, who require exact measurements of long periods (I should say that of all people chronologers require exactitude in the highest degree), arithmetic may be very good, but it won’t do for “practical purposes”; which seems to mean for the pur- pose of deciding the present controversy. On the separate topic of “usage'' I will presently make some remarks. I will only add here that E. J. Reed’s proposal to measure some periods of time by arithmetical rules and other periods by some other unspecified rule is about as damaging a practical comment on Mr. Hogan's general rule of convenience and ex- pediency as an opponent could wish for. Mr. Grimley, the rector of Norton, has been puzzled by fig- ures in the same way. He writes on January 2nd: If a bride in her 100th year were to pass from the altar of my church to the vestry, she would give me as her age to be entered in the register 99. Her 100th year would be labelled 99 to its very close. When that year ended, she would be 100 years old, and the year she would then enter upon would be la- belled 100, and be the first year of her second century. The same bride, when in her first year, would have that first year labelled 0. If she were at that tender age preternaturally gifted with speech, she would say all through that first year she was 0 at her last and only birthday. I hope that the Norton registers are not kept on this system of enumeration by labels of each parishioner. A woman in her 100th year is called 99 years old with sufficient accuracy, because she has completed her 99th year, and has not com- pleted another year. But the year is not labelled 99: if la- belled at all with reference to her, it is called her 100th year, and so, when she is 100, she enters her 101st year. Let the same rule be applied to the century. All last year it 10 NINETEENTH OR TWENTIETH > was 98 years old and a fraction. The year was called 99, because that year of its age was current the whole time. At the end of the year the century became 99 years old, and en- tered its 100th year, which is now current. Mr. Grimley concludes: “ May I add, with all reverence, that the age of the Christian era is, after all, the age of a living person; as every one who lives into a second century has his first year labelled 100, so should it be with the Christian era.” It is quite true that the age of a man and of the world fall under the same law of arithmetic. That is all that the Nineteens contend for. But, as I have never seen any of Mr. Grimley's labels, and doubt their existence, seeing to what erroneous conclusions they lead him, I wish for the production of one be- fore further discussing its effect. At present it looks like a confusion between a current year and a completed one, which has not deceived him when calculating the years of a bride, but has deceived him in calculating the years of a century. So much for the genesis of the difficulty. Now for the po- sitions which the parties take up. That of the “Nineteens” is very simple, and it is so sim- ply and tersely stated in a letter of January 5th by R. M. Minton-Senhouse that I transcribe it, and have nothing to add to it or to take away: The first year and the first century commenced at, and not before, the be- ginning of the first year. The second year commenced at the determination of the first year. The second century commenced at the determination of the first century. The 1901st year will not commence till the determination of the 1900th year, and the twentieth century will not commence till the determina- tion of the nineteenth century. For the purpose of deciding when a period of time commences or determines, it matters not what that period may be THE BATTLE OF THE CENTURIES 11 called, or by what numeral it is described. We may describe the first year or century of our era as 0.1.50 5-8, or in any way we please, without affecting the question. I affirm however that, if we describe them by cipher, or any numeral but 1, we shall be going contrary to the universal practice of man- kind, and shall not be speaking the English language. In enumerating the human race, would Adam be described as person 0 and Eve as person 12 The first of anything is No. 1, and the first year is No. 1, or the year 1. To one who is not a savant that statement appears to be indisputable. Let us therefore continue to call the first year the year l; and restate my original proposition. Year 1 and century 1 commenced at the beginning of year 1. Year 2 did not commence till year 1 had determined. Century 2 did not com- mence till century 1 had determined. Year 1901 will not commence till year 1900 has determined. Century 20 will not commence till century 19 has determined. How do the Twenties attack these elementary propositions? I will try to marshal their arguments according to the best of my understanding, though I am conscious that, owing to my inability to follow some and to my strong dissent from others, I may fail to represent them in the way which the disputants intend. Let it be constantly borne in mind that the question is one of pure arithmetic; how we shall count, and from what point. On this question I find a large part of the letters to be wholly irrelevant. Some allege that the feelings of people are engaged on the side of the Twenties. Sir C. Boyle did so in a letter which appeared just before my series. On January 2, K. B. Fergu- son writes to say, not quite accurately, that the sentimental point of view has been overlooked, and he insists wholly upon it. “I defy the most bigoted precisian to work up any en- thusiasm over 1901, when we will already have had twelve months’ experience of the 1900’s. The transition from 1899 to 1900, on the other hand, strikes the eye and strikes the 12 NINETEENTH OR TWENTIETH > fancy at once.” Alas, I fear that the bigoted precisian will not feel much enthusiasm over the numbering of any year or century. But Mr. Ferguson adds to the number of those who have convinced me that the change of the two first figures is the true and shallow source of the Twenty fallacy. I have before quoted Mr. Hogan's letter, in which he takes the ground of general convenience and expediency, —a ground more solid than that of sentiment, but not more relevant to the question whether, in fact, our mode of counting is on this wise or on that. He thinks that ‘‘ a short bill’’ should be ‘‘ run through parliament” to settle the question for ever, and this, he thinks, would get rid of all difficulties. On which I would venture to remark: first, that a bill, however short and however run through parliament, which is founded on the the- ory that we have miscounted our years for many centuries, and which would dislocate our dates, would find in some stage of its existence many difficulties to encounter; secondly, that no plan is so likely to serve “general convenience and expe- - diency’’ in matters of usage as the simple homely plan of fol- lowing established usage not shown to be injurious to mankind. Indeed, if we are going to depart from usage for fear that anybody may be betrayed into a mistake, we had better re- number our centuries altogether. From the momentary mis- takes I have myself made, and have seen others make, I am sure that when (say) the sixteenth century is mentioned, large numbers of persons think at first of the years that begin with the figures 16, and require an instant of reflection before remembering that the sixteenth century years, all except the THE BATTLE OF THE CENTURIES 13 last, begin with the figures 15. Yet I do not think that any advantage would be got by altering our accurate numbering for some artificial and inaccurate method. Other irrelevancies occur. One asks at what point of the earth’s surface the year begins. Several attach importance to the precise ascertainment of the day or year to which the nativity of Jesus Christ is to be ascribed; and they assert that Dionysius Exiguus, who fixed our era for us, has fallen into error on this point. That is an alleged error, not of one year, but of several. But it cannot signify what point of time was fixed on, unless we are going to make much greater altera- tions than the Twenties ask for, −in fact, a total upset of previous computations and the substitution of new ones. There being some fixed starting-point, have we counted right from it? That is the question. One writer indeed, F. J. B. Carulla, argues (January 6) that, though the custom has been to count as the Nineteens do, it would be better to count with the Twenties, because “the nearer we get to the actual truth the better it must be.” In some other instances the champions of the Twenties miss the mark by failing to understand what it is that the Nine- teens contend for. I take as a specimen Edward Steward (January 1). He argues with unimpeachable force and with apt illustrations against the supposition that a man is not 100 years old until he has completed his 101st year. And so, he says, with the century. To be sure, he adds at the end of his letter that in some way, which he does not explain, the year 1 of our era was really the year 2. This, however, belongs 14 NINETEENTH OR TWENTIETH 2. to the question of starting-point, on which others have been more explicit, and which will be discussed presently. On January 4, Lord Medway writes under the same erro- neous impression of the same point, “I cannot understand how people can be found to maintain that a century does not begin until the end of its first year,” upon which the only re- mark to be made is that the people who do maintain that proposition have never been found, and probably they cannot be found. On the same day A. K. S. writes, on the assumption that there is common ground between himself and his opponents which does not exist, “Will any of your correspondents help a stupid man and tell him what he meant when he dated a letter say December 3, 1899, if he did not mean the third day of the 12th month 18 centuries and ninety-nine years, and so many days in another year, or in figures 1800 years plus 99 years plus 338 days after the accepted birth of Christ.” I think he is the only one of the sixty letter-writers who puts so clearly on the face of his statement the error which in all probability affects other minds. But many of the fifty-nine others would tell him that he has confused between a current year and a complete year, and that his date signifies, not 99, but 98 completed years plus so many days. His dis- charge, therefore, is one of blank cartridge. Closely akin to these specimens of ignoratio elemchi are the numerous cases in which the disputant states his premises rightly, and then suddenly jumps to the conclusion opposite to that which they prove. Take E. M., January 1 : “I take it THE BATTLE OF THE CENTURIES 15 nobody denies that the birth of Christ and the commencement of the Christian era were simultaneous. Therefore, when Christ was a day, or a week, or a month, or a year old, the Christian era was equally and respectively a day, a week, a month, or a year old.” Passing over as irrelevant the mar- vellous statement in the first sentence that nobody denies what everybody disputes, I have to express entire agreement with the principle of his second sentence. And, if I had been writing the letter, I should have gone on to say that, when our Lord completed 1900 years, the Christian era would equally then, and not before, have completed 1900 years. But what E. M. does go on to say is this: “If our Saviouſ had re- mained on earth till now, He would have commenced His twentieth century on January 1, 1900. Consequently the Christian era does the same.” That is one of the sudden surprises which add zest to the reading of this correspondence. There are several others like it. I have cited Mr. Grim- ley’s letter for another purpose. He is quite conscious that a bride in her 100th year is only 99 complete; but he will not go on to apply the same principle to the century. That, he says, is 99 complete in its 99th year, and 100 complete in its 100th, all owing to some mysterious label of which he does not explain the contents or the mode of its attachment to the year. On January 4, M. L. Craven writes. He takes one of the numerous illustrations, a very good one,—that of 100 consecutive mile-posts, suggested by a previous writer calling himself Secretary. It supposes a starting-point at zero, and posts marked 1, 2, 3, and so on up to 100, each 16 NINETEENTH OR TWENTIETH 2 marking the end of 1 mile. When the racer comes opposite to post 100, he has completed his 100 miles. M. L. Craven states the illustration correctly, and then quietly draws the conclusion that our era completed 19 centuries on January 1, 1900; not when, as required in the case of the mile-posts, the 100th stage is completed, but when it is begun. He assigns no reason, but takes his assertion for granted. On the same day Dionysius Minimus, writes. Dionysius Maximus had asked: “Will some firm adherent of the faith that the nine- teenth century is completed oblige us by writing out the dates of the years that composed the first century, A.D. P.” Minimus, calling himself a firm adherent of that faith, answers thus: “A.D. 1, 2, 3, etc., to 99.” That is all he says. Having written down 99 years, he simply calls them, or leaves us to call them, 100 years. Even Sir C. Boyle, who writes under a sense that the case of the Twenties needs argument to support it, falls into the same snare. He imagines a mother speaking of her boy Alfred and the events of his life. “If parents fix events by the birth of a child, they say, so and so happened the year Alfred was born, and so and so happened when Alfred was 1.’” This language is perfectly correct; it is the ordinary language of mankind,-parents and others. But, when Sir C. Boyle comes to draw his conclusion, he adds, “thus making the sequence 0, 1, 2, not 1, 2, 3.” Why so? My expe- rience of mothers is that they count their children’s years quite right, and of Alfred’s mother I say, as of Mr. Grimley’s label, that she must be produced and examined before we im- THE BATTLE OF THE CENTURIES 17 pute to her that, having used right—i.e., ordinary—language about the events in Alfred’s life, she has counted his years in so abnormal a way. One cannot help thinking that she does not really exist on this earth, but has been invented for the present dispute. - If it were not for these hiatus valde defendi between premises and conclusions, it would be consolatory to read the letter of G., who writes on January 4. “The reason why this dis- pute is interminable is that both sides are demonstrably right on their own premises.” He says: “If by 1900 we mean the 1900th year, then clearly the century does not close till the year closes.” We ask, who ever meant anything else by A.D. 1900 but the 1900th year, whether speaking of it as coming, or present, or past? But he says further that “ 1900 years” means something different, because the cardi- nal number is used; and, “if by 1900 is meant 1900 years, then the century has closed and a new one is coming.” That is a very hard and dark saying. Clearly the figures “ 1900’’ -- applied to the subject “years” mean 1900 years. But how that bears on the question whether a year begun or a year current can be taken as a year completed is not easy to see. Nor do I understand in what collocation of words G. proposes to use the cardinal number, in which such virtue resides. He adds that this latter interpretation of the figures 1900 “ has the advantage of falling in with our method of reckoning in all other scales of time and distance.” He gives several anal- ogies or illustrations; the 10th hour of a clock is that which lies between 9 and 10, and so with the 60th minute of an hour 18 NINETEENTH OR TWENTIETH 2 and the 60th second of a minute; and the 100th mile of a cy- clometer is 99-100, not 100-101. Well, all those things go to show that the last year of a century is that which lies be- tween the end of 99 and the end of 100. They are the pre- mises of the Nineteens, but from them it appears to G. that the conclusion of the Twenties is demonstrably right. I am afraid that we need go no further than G.'s own letter to show how little his first sentence corresponds with facts. - I now pass to the arguments drawn from authority and usage, which are hardly separable from one another. In one sense it seems absurd to rely on authority or usage in a mat- ter of dry counting. But, if it were shown, either by learned men, or by reference to common parlance, that expressions even of figures had acquired a conventional meaning, that would be to the point. To a great extent this topic has been anticipated in the previous discussions, but it will be clearer to present it separately. I cannot find any specific authority cited for the Twenties except a sentence in the calendar enacted in the year 1752 (when our style was changed from the Julian to the Gregorian) and prefixed to the Book of Common Prayer. It occurs in the directions for finding Sunday letters, which are given up to the end of the year 1799. Then it is added, “ For the next century, that is, from the year 1800 till the year 1899 in- - clusive,” and then follows a different direction. It is obvious that the enumeration of the centuries of the era was not the point present to the framers of the calendar. The point was, how to find the Sunday letter. The word “century” may THE BATTLE OF THE CENTURIES 19 correctly mean any period of 100 years, and it may be that the plan of calculation, which consists of dividing numbers and then adding to the quotient, and then dividing again, may require that one method should be followed in all the years whose number begins with 17, and another method in those which begin with 18. Of that I am too ignorant to speak, and I leave it to the mathematicians. It is sufficient to say here that the quoted sentence was never addressed to such a controversy as the present. I have seen it stated that Lord Kelvin is among the Twen- ties. If so, he must have some reason which will command respectful attention; but I have not seen any statement emanat- ing from himself, and I do not find that he is cited in this cor- respondence which is the subject of my analysis. The only other authority cited for the Twenties is the emperor of Germany, and I do not find either his reasons or the terms of his opinion given. Germany is an independent country, and its rulers have a right to call the nineteenth cen- tury the twentieth century, or, for the matter of that, the eighteenth or the twenty-first century, if they deem it ex- pedient for the nation. Moreover, Germany is apt to have very independent emperors. We know of the Emperor Sigis- mund that he was superior to grammar, because he has told us so himself, at least, if his sayings are rightly reported. It may be that another emperor is superior to arithmetic. How- ever that may be, I have seen no statement to show that any- thing has taken place in Germany, unless it be a positive de- cision for the regulation of the future, such as F. J. R. 20 NINETEENTH OR TWENTIETH 2 Carulla proposes for our country, in order to alter what he ad- mits to be the existing practice. From the letter of A. G., January 6, it would appear that the same practice prevailed in Berlin at the beginning of this century. Whether the Ger- man decision is convenient, wise, or the contrary, it has no bearing on the question of correct counting. Opposed to this very meagre show of authority and usage is a strong muster on the side of the Nineteens. For the be- ginning of this century the opinion of Lalande, the story of the bet made by Sheridan and decided by Fox, and the ex- tracts from the Annual Register, must, in the absence of coun- tervailing evidence, satisfy everybody that those who paid attention to the matter considered that the century began in 1801. J. W. Sharpe (January 1) cites a passage from Pro- fessor De Morgan’s “Treatise on the Use of the Globes.” He is explaining the adjustment of leap years at the end of each century according to the Julian and Gregorian calendars, and he gives a warning to (I suppose careless) readers when speaking of the last year of each century: “Remember that A.D. 100 ends the first century, A.D. 1900 ends the nineteenth century, and so on.” H. W. S.-W. (January 6) writes that he had thought of consulting the present astronomer royal, from whom he elicited the following letter: “It has been agreed in chronology to call the first year of the Christian era A.D. 1, the previous year being B.c. 1. There is no A.D. 0. Consequently, the second century begins with A.D. 101, a hundred years after the be- ginning of the first year, and so on for succeeding centuries. THE BATTLE OF THE CENTURIES 21 The question was fully discussed at the Century Dinner in Glasgow on April 15, 1870, when the lord dean of guild, after quoting various authorities, gave his decision as arbiter that the nineteenth century did not commence till 1801, January 1, and that, similarly, the twentieth century would not com- mence until 1901, January 1.” C. Brinsley Marley (January 6) communicates a formal opinion of the Paris Bureau des Longitudes to the same effect. The writers to the “Times” give numerous instances of the ordinary way in which ordinary people reckon every kind of numerical series in ordinary life, -the counting of coins, the measurement of miles, the numbering of pages in a book, the hours of a day, the numbering of current months, and the reckoning of years in a human life. On the last point, I should add to the instances given by the Nineteens those of Alfred's mother and of the evergreen bride of 99; though it is true that their creators, Sir C. Boyle and Mr. Grimley, have drawn hostile inferences from the correct language put into the mouths of those mythical creatures. I will only quote further on this point a very curious letter from Zeno (January 6). He admits that arithmetic and usage are with the Nineteens, but that, he says, is all the - fault of the “clumsy chronologers.” Mathematically we are still in the nineteenth century, and we ought to call this year 1899. We ought to have marked the first year of our series 0, “like every carpenter’s rule does.” Zeno is quite logical on his own premises, which will prove to be the last topic of this analysis. But I write with a carpenter’s rule 22 NINETEENTH OR TWENTIETH > before my eyes. Dim enough they are, but still they seem to tell me that carpenters reckon just as other people do, even chronologers. They do not mark an inch till one has been actually measured off, nor 100 inches till the full 100th has been measured. I cannot find that the champions of the Twenties offer any explanation why we call this century—the late century they would say—the nineteenth century. Certainly those who con- sider that the question turns on the two first figures in the number of the year, the real origin of the error, are specially bound to give that explanation. According to them the nine- teenth century does not contain a single year whose number begins with the figure 19. The explanation that we call it the nineteenth century because its last year is 1900 would not suit them, and so they leave the point in silence. The evidence of accepted usage being palpably overwhelm- ing in favor of the Nineteens, the Twenties are driven to what I may, without disrespect, call their last ditch. Some of them courageously take their stand on the assertion that chro- nologers actually did the thing which Zeno so roundly takes them to task for not doing, -viz., that they did not count the first year of the era, but, making it zero, used No. 1 to de- note the second year, and so on consecutively. If that were established, the controversy would be placed on a different footing. But the supposition presents insuperable difficulties. When first it sprang into existence does not appear from the correspondence, and I have not tried to investigate it. It is for those who introduce it to show that it has a respectable THE BATTLE OF THE CENTURIES 23 parentage. The first person to mention it here is Sir C. Boyle. He does not allege that there is any evidence for it. His opinion is thus given: “To my mind it is slightly more probable that the sequence was Anno Domini, Anno Domini 1,” than that it was Anno Domini 1, Anno Domini 2,’ ” Why, then, does he think it more probable? He assigns no reason except the sayings and doings of Alfred’s mother, on which I have before remarked. His conclusion is that no con- clusive evidence exists either way, and that the problem is insoluble. If there really be no evidence, the case of the “Twenties” is ruined; for it is shown that, in every other instance in which human beings set themselves to number a series of ac- cruing items, they do not leave a blank for the first and count the second as No. 1, but count the first as No. 1 and add one for each item as it accrues. We ought to require the clearest evidence before imputing to chronologers, the most careful measurers of historic time, that they have departed in so fundamental a matter from the ordinary practice of mankind. Indeed, according to the theory now suggested, we have mis- called every year from the beginning until now, and we are now really in the year 1901, though everybody has been misled into calling it the year 1900. Moreover, if the chronologers counted the years in so ec- centric a manner, why did they not do the same with the cen- turies? Why did they not arrange that the first 99 years should be unnumbered, and the first century begin with the year 100? There would be some advantage in that, because 24 NINETEENTH OR TWENTIETH 2 it would make the first figures in each year of the century cor- respond with the numbers of the centuries themselves. They however preferred to count by the ordinary accurate method. In the case of the centuries their method has hitherto been un- disturbed, while in that of the years it seems to be thought right to attack it once in every hundred years. It is pointed out by A. C. (January 2nd) that, when the French National Convention ordered a new era, they did not think of postponing their year 1 till after an unnumbered year had elapsed. I believe that the Mahomedans count the year in which Mahomed fled from Mecca to Medina, the Hejira, as No. 1 of their era, and have so continued to count. At every point at which we can test human modes of counting we find the same result. The first is 1, and the following items are numbered consecutively after the first. To say with Sir C. Boyle that there is no conclusive evidence either way is, to say the least, a very inadequate statement. The evidence may not be conclusive. It is difficult to find conclusive evi- dence for anything that does not admit of mathematical dem- onstration, and to hot disputants no evidence is conclusive. But anybody who reads the letters of H. E. Malden (January 1st), John Sargeaunt (January 2nd), C. A. Vince (January 3rd), and Alan Cole (January 6th) will learn that the Roman Annals show an unbroken series of numbered years from long before to long after our date for the Christian era, and that these have been duly collated with the numbers of the Chris- tian chronologers, which pass directly from B.C. 1 to A.D. 1. There is no room for a year 0. Those statements stand on the THE BATTLE OF THE CENTURIES 25 correspondence wholly uncontradicted by the Twenties. Of this evidence on the beginning of our series I should prefer to say that for the existence of a chronological year 0 there is not one tittle; that there is the very strongest presumption against a unique departure from universal methods of numera- tion; and that there is strong evidence that an unnumbered year cannot find a place in any recorded chronology. It is stated that astronomers have an unnumbered year B.C.; and doubtless they have their reasons; but it has never found its way into chronology, nor does it apply to the era A.D. I have now done my best to exhibit what has been actually said in this dispute, not pretending to any research of my own. I confess to having felt much surprise when I first found that a truth, which I had thought to be as rudimentary as the truth that 2 plus 2 make 4, was questioned, not only in the superficial way in which the unreflecting may question any- thing, but seriously and by educated men. But my surprise has been increased by trying to understand what reason exists for this questioning, and by finding that many of the reasons assigned are irrelevant, many are destructive of the gºnclusion in support of which they are advanced, and that such as would be relevant and logical have no basis whatever to maintain them in point of fact. We read of primitive communities, who are wholly unable to count beyond their fingers or even beyond the number 3. I do not insinuate that the Twenties as a whole are more backward than the Nineteens as a whole. But it is consistent with observation that in all of us there lingers something of ancestral and primitive character, show- 26 NINETEENTH OR TWENTIETH 2 ing itself in different ways among different individuals, and requiring correction from the majority who in that particular matter have been better trained. The inability to deal cor- rectly with large numbers may be one of these survivals from our ancestors. If it be, it will help, with the other reasons which I have given, to account for the fact that certainly on two recurrences of the turn of the century, and probably earlier, there have arisen disputes involving the rudimentary art of counting. I suppose that this dispute will die away for the present, but perhaps in the year 2000 our great-grand- children will revive it, and will consult the files of the - ‘‘Times” or those (who knows?) of the “Contemporary Review,” for arguments to show that 1999 years make up 20 centuries.