Facsimile of programme
of "Alice in Wonderland."
At the end of the year the "Alice" operetta was again produced at the Globe Theatre, with Miss Isa Bowman as the heroine. "Isa makes a delightful Alice," Mr. Dodgson writes, "and Emsie [a younger sister] is wonderfully good as Dormouse and as Second Ghost [of an oyster!], when she sings a verse, and dances the Sailor's Hornpipe."
"THE MAD TEA-PARTY."
From a photograph by Elliott & Fry.
The first of an incomplete series, "Curiosa Mathematica," was published for Mr. Dodgson by Messrs. Macmillan during the year. It was entitled "A New Theory of Parallels," and any one taking it up for the first time might be tempted to ask, Is the author serious, or is he simply giving us some jeu d'esprit? A closer inspection, however, soon settles the question, and the reader, if mathematics be his hobby, is carried irresistibly along till he reaches the last page.
The object which Mr. Dodgson set himself to accomplish was to prove Euclid I. 32 without assuming the celebrated 12th Axiom, a feat which calls up visions of the "Circle-Squarers."
The work is divided into two parts: Book I. contains certain Propositions which require no disputable Axiom for their proof, and when once the few Definitions of "amount," &c., have become familiar it is easy reading. In Book II. the author introduces a new Axiom, or rather "Quasi-Axiom"—for it's self-evident character is open to dispute. This Axiom is as follows:—
In any Circle the inscribed equilateral Tetragon (Hexagon in editions 1st and 2nd) is greater than any one of the Segments which lie outside it.
Assuming the truth of this Axiom, Mr. Dodgson proves a series of Propositions, which lead up to and enable him to accomplish the feat referred to above.
At the end of Book II. he places a proof (so far as finite magnitudes are concerned) of Euclid's Axiom, preceded by and dependent on the Axiom that "If two homogeneous magnitudes be both of them finite, the lesser may be so multiplied by a finite number as to exceed the greater." This Axiom, he says, he believes to be assumed by every writer who has attempted to prove Euclid's 12th Axiom. The proof itself is borrowed, with slight alterations, from Cuthbertson's "Euclidean Geometry."
In Appendix I. there is an alternative Axiom which may be substituted for that which introduces Book II., and which will probably commend itself to many minds as being more truly axiomatic. To substitute this, however, involves some additions and alterations, which the author appends.
Appendix II. is headed by the somewhat startling question, "Is Euclid's Axiom true?" and though true for finite magnitudes—the sense in which, no doubt, Euclid meant it to be taken—it is shown to be not universally true. In Appendix III. he propounds the question, "How should Parallels be defined?"
Appendix IV., which deals with the theory of Parallels as it stands to-day, concludes with the following words:—
I am inclined to believe that if ever Euclid I. 32 is proved without a new Axiom, it will be by some new and ampler definition of the Right Line—some definition which shall connote that mysterious property, which it must somehow possess, which causes Euclid I. 32 to be true. Try that track, my gentle reader! It is not much trodden as yet. And may success attend your search!
In the Introduction, which, as is frequently the case, ought to be read last in order to be appreciated properly, he relates his experiences with two of those "misguided visionaries," the circle-squarers. One of them had selected 3.2 as the value for "pi," and the other proved, to his own satisfaction at least, that it is correctly represented by 3! The Rev. Watson Hagger, to whose kindness, as I have already stated in my Preface, my readers are indebted for the several accounts of Mr. Dodgson's books on mathematics which appear in this Memoir, had a similar experience with one of these "cranks." This circle-squarer selected 3.125 as the value for "pi," and Mr. Hagger, who was fired with Mr. Dodgson's ambition to convince his correspondent of his error, failed as signally as Mr. Dodgson did.
The following letter is interesting as showing that, strict Conservative though he was, he was not in religious matters narrow-minded; he held his own opinions strongly, but he would never condemn those of other people. He saw "good in everything," and there was but little exaggeration, be it said in all reverence, in the phrase which an old friend of his used in speaking of him to me: "Mr. Dodgson was as broad—as broad as Christ."
Christ Church, Oxford, May 4, 1889.
Dear Miss Manners,—I hope to have a new book out very soon, and had entered your name on the list of friends to whom copies are to go; but, on second thoughts, perhaps you might prefer that I should send it to your little sister (?) (niece) Rachel, whom you mentioned in one of your letters. It is to be called "The Nursery Alice," and is meant for very young children, consisting of coloured enlargements of twenty of the pictures in "Alice," with explanations such as one would give in showing them to a little child.
I was much interested by your letter, telling me you belong to the Society of Friends. Please do not think of me as one to whom a "difference of creed" is a bar to friendship. My sense of brother— and sisterhood is at least broad enough to include Christians of all denominations; in fact, I have one valued friend (a lady who seems to live to do good kind things) who is a Unitarian.
Shall I put "Rachel Manners" in the book?
Believe me, very sincerely yours,
C. L. Dodgson.
From June 7th to June 10th he stayed at Hatfield.
THE LATE DUKE OF ALBANY."
From a photograph
by Lewis Carroll, 1875.
Once at luncheon [he writes] I had the Duchess (of Albany) as neighbour and once at breakfast, and had several other chats with her, and found her very pleasant indeed. Princess Alice is a sweet little girl. Her little brother (the Duke of Albany) was entirely fascinating, a perfect little prince, and the picture of good-humour. On Sunday afternoon I had a pleasant half-hour with the children [Princess Alice, the Duke of Albany, Honorable Mabel Palmer, Lady Victoria Manners, and Lord Haddon], telling them "Bruno's Picnic" and folding a fishing-boat for them. I got the Duchess's leave to send the little Alice a copy of the "Nursery Alice," and mean to send it with "Alice Underground" for herself.
Towards the end of the year Lewis Carroll had tremendously hard work, completing "Sylvie and Bruno." For several days on end he worked from breakfast until nearly ten in the evening without a rest. At last it was off his hands, and for a month or so he was (comparatively) an idle man. Some notes from his Diary, written during this period, follow:—
Nov. 17th.—Met, for first time, an actual believer in the "craze" that buying and selling are wrong (!) (he is rather 'out of his mind'). The most curious thing was his declaration that he himself lives on that theory, and never buys anything, and has no money! I thought of railway travelling, and ventured to ask how he got from London to Oxford? "On a bicycle!" And how he got the bicycle? "It was given him!" So I was floored, and there was no time to think of any other instances. The whole thing was so new to me that, when he declared it to be un-Christian, I quite forgot the text, "He that hath no sword, let him sell his garment, and buy one."
Dec. 19th.—Went over to Birmingham to see a performance of "Alice" (Mrs. Freiligrath Kroeker's version) at the High School. I rashly offered to tell "Bruno's Picnic" afterwards to the little children, thinking I should have an audience of 40 or 50, mostly children, instead of which I had to tell it from the stage to an audience of about 280, mostly older girls and grown-up people! However, I got some of the children to come on the stage with me, and the little Alice (Muriel Howard-Smith, æt. 11) stood by me, which made it less awful. The evening began with some of "Julius Caesar" in German. This and "Alice" were really capitally acted, the White Queen being quite the best I have seen (Miss B. Lloyd Owen). I was introduced to Alice and a few more, and was quite sorry to hear afterwards that the other performers wanted to shake hands.
The publication of "Sylvie and Bruno" marks an epoch in its author's life, for it was the publication of all the ideals and sentiments which he held most dear. It was a book with a definite purpose; it would be more true to say with several definite purposes. For this very reason it is not an artistic triumph as the two "Alice" books undoubtedly are; it is on a lower literary level, there is no unity in the story. But from a higher standpoint, that of the Christian and the philanthropist, the book is the best thing he ever wrote. It is a noble effort to uphold the right, or what he thought to be the right, without fear of contempt or unpopularity. The influence which his earlier books had given him he was determined to use in asserting neglected truths.
Of course the story has other features, delightful nonsense not surpassed by anything in "Wonderland," childish prattle with all the charm of reality about it, and pictures which may fairly be said to rival those of Sir John Tenniel. Had these been all, the book would have been a great success. As things are, there are probably hundreds of readers who have been scared by the religious arguments and political discussions which make up a large part of it, and who have never discovered that Sylvie is just as entrancing a personage as Alice when you get to know her.
Perhaps the sentiment of the following poem, sent to Lewis Carroll by an anonymous correspondent, may also explain why some of "Alice's" lovers have given "Sylvie" a less warm welcome:—
TO SYLVIE.
Ah! Sylvie, winsome, wise and good!
Fain would I love thee as I should.
But, to tell the truth, my dear,—
And Sylvie loves the truth to hear,—
Though fair and pure and sweet thou art,
Thine elder sister has my heart!
I gave it her long, long ago
To have and hold; and well I know,
Brave Lady Sylvie, thou wouldst scorn
To accept a heart foresworn.
Lovers thou wilt have enow
Under many a greening bough—
Lovers yet unborn galore,
Like Alice all the wide world o'er;
But, darling, I am now too old
To change. And though I still shall hold
Thee, and that puckling sprite, thy brother,
Dear, I cannot love another:
In this heart of mine I own
She must ever reign alone!
March, 1890.
N.P.
I do not know N.P.'s name and address, or I should have asked leave before giving publicity to the above verses. If these words meet his eye, I hope he will accept my most humble apologies for the liberty I have taken.
At the beginning of 1894 a Baptist minister, preaching on the text, "No man liveth to himself," made use of "Sylvie and Bruno" to enforce his argument. After saying that he had been reading that book, he proceeded as follows:
A child was asked to define charity. He said it was "givin' away what yer didn't want yerself." This was some people's idea of self-sacrifice; but it was not Christ's. Then as to serving others in view of reward: Mr. Lewis Carroll put this view of the subject very forcibly in his "Sylvie and Bruno"—an excellent book for youth; indeed, for men and women too. He first criticised Archdeacon Paley's definition of virtue (which was said to be "the doing good to mankind, in obedience to the will of God, and for the sake of everlasting happiness,") and then turned to such hymns as the following:—
Whatever, Lord, we lend to Thee,
Repaid a thousandfold shall be,
Then gladly will we give to Thee,
Giver of all!
Mr. Carroll's comment was brief and to the point. He said: "Talk of Original Sin! Can you have a stronger proof of the Original Goodness there must be in this nation than the fact that Religion has been preached to us, as a commercial speculation, for a century, and that we still believe in a God?" ["Sylvie and Bruno," Part i., pp. 276, 277.] Of course it was quite true, as Mr. Carroll pointed out, that our good deeds would be rewarded; but we ought to do them because they were good, and not because the reward was great.
In the Preface to "Sylvie and Bruno," Lewis Carroll alluded to certain editions of Shakespeare which seemed to him unsuitable for children; it never seemed to strike him that his words might be read by children, and that thus his object very probably would be defeated, until this fact was pointed out to him in a letter from an unknown correspondent, Mr. J.C. Cropper, of Hampstead. Mr. Dodgson replied as follows:—
Dear Sir,—Accept my best thanks for your thoughtful and valuable suggestion about the Preface to "Sylvie and Bruno." The danger you point out had not occurred to me (I suppose I had not thought of children reading the Preface): but it is a very real one, and I am very glad to have had my attention called to it.
Believe me, truly yours,
Lewis Carroll.
Mathematical controversy carried on by correspondence was a favourite recreation of Mr. Dodgson's, and on February 20, 1890, he wrote:—
I've just concluded a correspondence with a Cambridge man, who is writing a Geometry on the "Direction" theory (Wilson's plan), and thinks he has avoided Wilson's (what I think) fallacies. He hasn't, but I can't convince him! My view of life is, that it's next to impossible to convince anybody of anything.
The following letter is very characteristic. "Whatsoever thy hand findeth to do, do it with all thy might," was Mr. Dodgson's rule of life, and, as the end drew near, he only worked the harder:—
Christ Church, Oxford, April 10, 1890.
My dear Atkinson,—Many and sincere thanks for your most hospitable invitation, and for the very interesting photo of the family group. The former I fear I must ask you to let me defer sine die, and regard it as a pleasant dream, not quite hopeless of being some day realised. I keep a list of such pleasant possibilities, and yours is now one of ten similar kind offers of hospitality. But as life shortens in, and the evening shadows loom in sight, one gets to grudge any time given to mere pleasure, which might entail the leaving work half finished that one is longing to do before the end comes.
There are several books I greatly desire to get finished for children. I am glad to find my working powers are as good as they ever were. Even with the mathematical book (a third edition) which I am now getting through the press, I think nothing of working six hours at a stretch.
There is one text that often occurs to me, "The night cometh, when no man can work." Kindest regards to Mrs. Atkinson, and love to Gertrude.
Always sincerely yours,
C. L. Dodgson.
For the benefit of children aged "from nought to five," as he himself phrased it, Lewis Carroll prepared a nursery edition of "Alice." He shortened the text considerably, and altered it so much that only the plot of the story remained unchanged. It was illustrated by the old pictures, coloured by Tenniel, and the cover was adorned by a picture designed by Miss E. Gertrude Thomson. As usual, the Dedication takes the form of an anagram, the solution of which is the name of one of his later child-friends. "The Nursery 'Alice,'" was published by Macmillan and Co., in March, 1890.
On August 18th the following letter on the "Eight Hours Movement" appeared in The Standard:—
Sir,—Supposing it were the custom, in a certain town, to sell eggs in paper bags at so much per bag, and that a fierce dispute had arisen between the egg vendors and the public as to how many eggs each bag should be understood to contain, the vendors wishing to be allowed to make up smaller bags; and supposing the public were to say, "In future we will pay you so much per egg, and you can make up bags as you please," would any ground remain for further dispute?
Supposing that employers of labour, when threatened with a "strike" in case they should decline to reduce the number of hours in a working day, were to reply, "In future we will pay you so much per hour, and you can make up days as you please," it does appear to me—being, as I confess, an ignorant outsider—that the dispute would die out for want of a raison d'être, and that these disastrous strikes, inflicting such heavy loss on employers and employed alike, would become things of the past.
I am, Sir, your obedient servant,
Lewis Carroll.
The remainder of the year was uneventful; a few notes from his Diary must represent it here:—
Oct. 4th.—Called on Mr. Coventry Patmore (at Hastings), and was very kindly received by him, and stayed for afternoon tea and dinner. He showed me some interesting pictures, including a charming little drawing, by Holman Hunt, of one of his daughters when three years old. He gave me an interesting account of his going, by Tennyson's request, to his lodging to look for the MS. of "In Memoriam," which he had left behind, and only finding it by insisting on going upstairs, in spite of the landlady's opposition, to search for it. Also he told me the story (I think I have heard it before) of what Wordsworth told his friends as the "one joke" of his life, in answer to a passing carter who asked if he had seen his wife. "My good friend, I didn't even know you had a wife!" He seems a very hale and vigorous old man for nearly seventy, which I think he gave as his age in writing to me.
Oct. 31st.—This morning, thinking over the problem of finding two squares whose sum is a square, I chanced on a theorem (which seems true, though I cannot prove it), that if x² + y² be even, its half is the sum of two squares. A kindred theorem, that 2(x² + y²) is always the sum of two squares, also seems true and unprovable.
Nov. 5th.—I have now proved the above two theorems. Another pretty deduction from the theory of square numbers is, that any number whose square is the sum of two squares, is itself the sum of two squares.
I have already mentioned Mr. Dodgson's habit of thinking out problems at night. Often new ideas would occur to him during hours of sleeplessness, and he had long wanted to hear of or invent some easy method of taking notes in the dark. At first he tried writing within oblongs cut out of cardboard, but the result was apt to be illegible. In 1891 he conceived the device of having a series of squares cut out in card, and inventing an alphabet, of which each letter was made of lines, which could be written along the edges of the squares, and dots, which could be marked at the corners. The thing worked well, and he named it the "Typhlograph," but, at the suggestion of one of his brother-students, this was subsequently changed into "Nyctograph."
He spent the Long Vacation at Eastbourne, attending service every Sunday at Christ Church, according to his usual rule.
Sept. 6, 1891.—At the evening service at Christ Church a curious thing happened, suggestive of telepathy. Before giving out the second hymn the curate read out some notices. Meanwhile I took my hymn-book, and said to myself (I have no idea why), "It will be hymn 416," and I turned to it. It was not one I recognised as having ever heard; and, on looking at it, I said, "It is very prosaic; it is a very unlikely one"—and it was really startling, the next minute, to hear the curate announce "Hymn 416."
DR. LIDDELL.
From a photograph
by Hill & Saunders..
In October it became generally known that Dean Liddell was going to resign at Christmas. This was a great blow to Mr. Dodgson, but little mitigated by the fact that the very man whom he himself would have chosen, Dr. Paget, was appointed to fill the vacant place. The old Dean was very popular in College; even the undergraduates, with whom he was seldom brought into contact, felt the magic of his commanding personality and the charm of his gracious, old-world manner. He was a man whom, once seen, it was almost impossible to forget.
Shortly before the resignation of Dr. Liddell, the Duchess of Albany spent a few days at the Deanery. Mr. Dodgson was asked to meet her Royal Highness at luncheon, but was unable to go. Princess Alice and the little Duke of Albany, however, paid him a visit, and were initiated in the art of making paper pistols. He promised to send the Princess a copy of a book called "The Fairies," and the children, having spent a happy half-hour in his rooms, returned to the Deanery. This was one of the days which he "marked with a white stone." He sent a copy of "The Nursery 'Alice'" to the little Princess Alice, and received a note of thanks from her, and also a letter from her mother, in which she said that the book had taught the Princess to like reading, and to do it out of lesson-time. To the Duke he gave a copy of a book entitled "The Merry Elves." In his little note of thanks for this gift, the boy said, "Alice and I want you to love us both." Mr. Dodgson sent Princess Alice a puzzle, promising that if she found it out, he would give her a "golden chair from Wonderland."
THE DEAN OF CHRIST CHURCH.
From a photograph
by Hill & Saunders..
At the close of the year he wrote me a long letter, which I think worthy of reproducing here, for he spent a long time over it, and it contains excellent examples of his clear way of putting things.
To S.D. Collingwood.
Ch. Ch., Oxford, Dec. 29, 1891.
My Dear Stuart,—(Rather a large note—sheet, isn't it? But they do differ in size, you know.) I fancy this book of science (which I have had a good while, without making any use of it), may prove of some use to you, with your boys. [I was a schoolmaster at that time.] Also this cycling-book (or whatever it is to be called) may be useful in putting down engagements, &c., besides telling you a lot about cycles. There was no use in sending it to me; my cycling days are over.
You ask me if your last piece of "Meritt" printing is dark enough. I think not. I should say the rollers want fresh inking. As to the matter of your specimen—[it was a poor little essay on killing animals for the purpose of scientific recreations, e.g., collecting butterflies]—I think you cannot spend your time better than in trying to set down clearly, in that essay-form, your ideas on any subject that chances to interest you; and specially any theological subject that strikes you in the course of your reading for Holy Orders.
It will be most excellent practice for you, against the time when you try to compose sermons, to try thus to realise exactly what it is you mean, and to express it clearly, and (a much harder matter) to get into proper shape the reasons of your opinions, and to see whether they do, or do not, tend to prove the conclusions you come to. You have never studied technical Logic, at all, I fancy. [I had, but I freely admit that the essay in question proved that I had not then learnt to apply my principles to practice.] It would have been a great help: but still it is not indispensable: after all, it is only the putting into rules of the way in which every mind proceeds, when it draws valid conclusions; and, by practice in careful thinking, you may get to know "fallacies" when you meet with them, without knowing the formal rules.
At present, when you try to give reasons, you are in considerable danger of propounding fallacies. Instances occur in this little essay of yours; and I hope it won't offend your amour propre very much, if an old uncle, who has studied Logic for forty years, makes a few remarks on it.
I am not going to enter at all on the subject-matter itself, or to say whether I agree, or not, with your conclusions : but merely to examine, from a logic-lecturer's point of view, your premisses as relating to them.
(1) "As the lower animals do not appear to have personality or individual existence, I cannot see that any particular one's life can be very important," &c. The word "personality" is very vague: I don't know what you mean by it. If you were to ask yourself, "What test should I use in distinguishing what has, from what has not, personality?" you might perhaps be able to express your meaning more clearly. The phrase "individual existence" is clear enough, and is in direct logical contradiction to the phrase "particular one." To say, of anything, that it has not "individual existence," and yet that it is a "particular one," involves the logical fallacy called a "contradiction in terms."
(2) "In both cases" (animal and plant) "death is only the conversion of matter from one form to another." The word "form" is very vague—I fancy you use it in a sort of chemical sense (like saying "sugar is starch in another form," where the change in nature is generally believed to be a rearrangement of the very same atoms). If you mean to assert that the difference between a live animal and a dead animal, i.e., between animate and sensitive matter, and the same matter when it becomes inanimate and insensitive, is a mere rearrangement of the same atoms, your premiss is intelligible. (It is a bolder one than any biologists have yet advanced. The most sceptical of them admits, I believe, that "vitality" is a thing per se. However, that is beside my present scope.) But this premiss is advanced to prove that it is of no "consequence" to kill an animal. But, granting that the conversion of sensitive into insensitive matter (and of course vice versa) is a mere change of "form," and therefore of no "consequence"; granting this, we cannot escape the including under this rule all similar cases. If the power of feeling pain, and the absence of that power, are only a difference of "form," the conclusion is inevitable that the feeling pain, and the not feeling it, are also only a difference in form, i.e., to convert matter, which is not feeling pain, into matter feeling pain, is only to change its "form," and, if the process of "changing form" is of no "consequence" in the case of sensitive and insensitive matter, we must admit that it is also of no "consequence" in the case of pain-feeling and not pain-feeling matter. This conclusion, I imagine, you neither intended nor foresaw. The premiss, which you use, involves the fallacy called "proving too much."
The best advice that could be given to you, when you begin to compose sermons, would be what an old friend once gave to a young man who was going out to be an Indian judge (in India, it seems, the judge decides things, without a jury, like our County Court judges). "Give your decisions boldly and clearly; they will probably be right. But do not give your reasons: they will probably be wrong" If your lot in life is to be in a country parish, it will perhaps not matter much whether the reasons given in your sermons do or do not prove your conclusions. But even there you might meet, and in a town congregation you would be sure to meet, clever sceptics, who know well how to argue, who will detect your fallacies and point them out to those who are not yet troubled with doubts, and thus undermine all their confidence in your teaching.
At Eastbourne, last summer, I heard a preacher advance the astounding argument, "We believe that the Bible is true, because our holy Mother, the Church, tells us it is." I pity that unfortunate clergyman if ever he is bold enough to enter any Young Men's Debating Club where there is some clear-headed sceptic who has heard, or heard of, that sermon. I can fancy how the young man would rub his hands, in delight, and would say to himself, "Just see me get him into a corner, and convict him of arguing in a circle!"
The bad logic that occurs in many and many a well-meant sermon, is a real danger to modern Christianity. When detected, it may seriously injure many believers, and fill them with miserable doubts. So my advice to you, as a young theological student, is "Sift your reasons well , and, before you offer them to others, make sure that they prove your conclusions."
I hope you won't give this letter of mine (which it has cost me some time and thought to write) just a single reading and then burn it; but that you will lay it aside. Perhaps, even years hence, it may be of some use to you to read it again.
Believe me always
Your affectionate Uncle,
C. L. Dodgson.