Articles written by the author

Nine Wise Words About Letter Writing

1. On Stamp-Cases

Charles Dodgson

 

Some American writer has said “the snakes in this district may be divided into one species--the venomous”. The same principle applies here. Postage-Stamp-Cases may be divided into one species, the “Wonderland”. Imitations of it will soon appear, no doubt: but they cannot include the two Pictorial Surprises, which are copyright.

You don’t see why I call them “Surprises”? Well, take the Case in your left-hand, and regard it attentively. You see Alice nursing the Duchess’s Baby? (An entirely new combination, by the way: It doesn’t occur in the book.) Now, with your right thumb and forefinger, lay hold of the little book, and suddenly pull it out. The Baby has turned into a Pig! If that doesn’t surprise you, why, I suppose you wouldn’t be surprised if your own Mother-in-law suddenly turned into a Gyroscope!

This Case is not intended to carry about in your pocket. Far from it. People seldom want any other Stamps, on an emergency, than Penny-Stamps for Letters, Sixpenny-Stamps for Telegrams, and a bit of Stamp-edging for cut fingers (it makes capital sticking-plaster, and will stand three or four washings, cautiously conducted): and all these are easily carried in a purse or pocket-book. No, this is meant to haunt your envelope-case, or wherever you keep your writing-materials. What made me invent it was the constantly wanting Stamps of other values, for foreign Letters, Parcel Post, etc., and finding it very bothersome to get at the kind I wanted in a hurry. Since I have possessed a “Wonderland Stamp-Case”, life has been bright and peaceful, and I have used no other. I believe the Queen’s laundress uses no other.

Each of the pockets will hold 6 Stamps, comfortably. I would recommend you to arrange the 6, before putting them in, something like a bouquet, making them lean to the right and to the left alternately: thus there will always be a free corner to get hold of, so as to take them out, quickly and easily, one by one: otherwise you will find them apt to come out two or three at a time.

According to my experience, the 5d., 9d., and 1s. Stamps are hardly ever wanted, though I have constantly to replenish all the other pockets. If your experience agrees with mine, you may find it convenient to keep only a couple (say) of each of these 3 kinds, in the 1s. pocket, and to fill the other 2 pockets with extra 1d. stamps.

2. How to Begin a Letter

If the Letter is to be in answer to another, begin by getting out that other letter and reading it through, in order to refresh your memory, as to what it is you have to answer, and as to your correspondent’s present address (otherwise you will be sending your letter to his regular address in London, though he has been careful in writing to give you his Torquay address in full).

Next, Address and Stamp the Envelope. “What! Before writing the Letter?” Most certainly. And I’ll tell you what will happen if you don’t. You will go on writing till the last moment, and, just in the middle of the last sentence, you will become aware that “time’s up!” Then comes the hurried wind-up--the wildly-scrawled signature--the hastily-fastened envelope, which comes open in the post--the address, a mere hieroglyphic--the horrible discovery that you’ve forgotten to replenish your Stamp-Case--the frantic appeal, to every one in the house, to lend you a Stamp--the headlong rush to the Post Office, arriving, hot and gasping, just after the box has closed--and finally, a week afterwards, the return of the Letter, from the Dead-Letter Office, marked “address illegible”!

Next, put your own address, in full, at the top of the note-sheet. It is an aggravating thing--I speak from bitter experience--when a friend, staying at some new address, heads his letter “Dover”, simply, assuming that you can get the rest of the address from his previous letter, which perhaps you have destroyed.

Next, put the date in full. It is another aggravating thing, when you wish, years afterwards, to arrange a series of letters, to find them dated “Feb. 17”, “Aug. 2”, without any year to guide you as to which comes first. And never, never, dear Madam (N.B. this remark is addressed to ladies only: no man would ever do such a thing), put “Wednesday”, simply, as the date!

“That way madness lies.”

3. How to Go On With a Letter

Here is a golden Rule to begin with. Write legibly. The average temper of the human race would be perceptibly sweetened, if everybody obeyed this Rule! A great deal of the bad writing in the world comes simply from writing too quickly. Of course you reply, “I do it to save time.” A very good object, no doubt: but what right have you to do it at your friend’s expense? Isn’t his time as valuable as yours? Years ago, I used to receive letters from a friend--and very interesting letters too--written in one of the most atrocious hands ever invented. It generally took me about a week to read one of his letters. I used to carry it about in my pocket, and take it out at leisure times, to puzzle over the riddles which composed it--holding it in different positions, and at different distances, till at last the meaning of some hopeless scrawl would flash upon me, when I at once wrote down the English under it; and, when several had been thus guessed, the context would help with the others, till at last the whole series of hieroglyphics was deciphered. If all one’s friends wrote like that, Life would be entirely spent in reading their letters!

This Rule applies, specially, to names of people or places--and most specially to foreign names. I got a letter once, containing some Russian names, written in the same hasty scramble in which people often write “yours sincerely”. The context, of course, didn’t help in the least: and one spelling was just as likely as another, so far as I knew: It was necessary to write and tell my friend that I couldn’t read any of them!

My second Rule is, don’t fill more than a page and a half with apologies for not having written sooner!

The best subject, to begin with, is your friend’s last letter. Write with the letter open before you. Answer his questions, and make any remarks his letter suggests. Then go on to what you want to say yourself. This arrangement is more courteous, and pleasanter for the reader, than to fill the letter with your own invaluable remarks, and then hastily answer your friend’s questions in a postscript. Your friend is much more likey to enjoy your wit, after his own anxiety for information has been satisfied.

In referring to anything your friend has said in his letter, it is best to quote the exact words, and not to give a summary of them in your words. A’s impression, of what B has said, expressed in A’s words, will never convey to B the meaning of his own words.

This is specially necessary when some point has arisen as to which the two correspondents do not quite agree. There ought to be no opening for such writing as “You are quite mistaken in thinking I said so-and-so. It was not in the least my meaning, &c., &c.”, which tends to make a correspondence last for a life-time.

A few more Rules may fitly be given here, for correspondence that has unfortunately become controversial.

One is, don’t repeat yourself. When once you have said your say, fully and clearly, on a certain point, and have failed to convince your friend, drop that subject: to repeat your arguments, all over again, will simply lead to his doing the same; and so you will go on, like a Circulating Decimal. Did you ever know a Circulating Decimal come to an end?

Another Rule is, when you have written a letter that you feel may possibly irritate your friend, however necessary you may have felt it to so express yourself, put it aside till the next day. Then read it over again, and fancy it addressed to yourself. This will often lead to your writing it all over again, taking out a lot of the vinegar and pepper, and putting in honey instead, and thus making a much more palatable dish of it! If, when you have done your best to write inoffensively, you still feel that it will probably lead to further controversy, keep a copy of it. There is very little use, months afterwards, in pleading “I am almost sure I never expressed myself as you say: to the best of my recollection I said so-and-so”. Far better to be able to write “I did not express myself so: these are the words I used”.

My fifth Rule is, if your friend makes a severe remark, either leave it unnoticed, or make your reply distinctly less severe: and if he makes a friendly remark, tending towards “making up” the little difference that has arisen between you, let your reply be distinctly more friendly. If, in picking a quarrel, each party declined to go more than three-eighths of the way, and if, in making friends, each was ready to go five-eighths of the way--why, there would be more reconciliations than quarrels! Which is like the Irishman’s remonstrance to his gad-about daughter--”Shure, you’re always goin’ out! You go out three times, for wanst that you come in!”

My sixth Rule (and my last remark about controversial correspondence) is, don’t try to have the last word! How many a controversy would be nipped in the bud, if each was anxious to let the other have the last word! Never mind how telling a rejoinder you leave unuttered: never mind your friend’s supposing that you are silent from lack of anything to say: let the thing drop, as soon as it is possible without discourtesy: remember “speech is silvern, but silence is golden”! (N.B.--If you are a gentleman, and your friend is a lady, this Rule is superfluous: you wo’n’t get the last word!)

My seventh Rule is, if it should ever occur to you to write, jestingly, in dispraise of your friend, be sure you exaggerate enough to make the jesting obvious: a word spoken in jest, but taken as earnest, may lead to very serious consequences. I have known it to lead to the breaking-off of a friendship. Suppose, for instance, you wish to remind your friend of a sovereign you have lent him, which he has forgotten to repay--you might quite mean the words “I mention it, as you seem to have a conveniently bad memory for debts”, in jest; yet there would be nothing to wonder at if he took offence at that way of putting it. But, suppose you wrote “Long observation of your career, as a pickpocket and a burglar, has convinced me that my one lingering hope, for recovering that sovereign I lent you, is to say ‘Pay up, or I’ll summons yer!’” he would indeed be a matter-of-fact friend if he took that as seriously meant!

My eighth Rule. When you say, in your letter, “I enclose cheque for £5,” or “I enclose John’s letter for you to see”, leave off writing for a moment--go and get the document referred to--and put it into the envelope. Otherwise, you are pretty certain to find it lying about, after the Post has gone!

My ninth Rule. When you get to the end of a notesheet, and find you have more to say, take another piece of paper--a whole sheet, or a scrap, as the case may demand: but whatever you do, don’t cross! Remember the old proverb Cross-writing makes cross reading”. “The old proverb?” you say, inquiringly. How old?” Well, not so very ancient, I must confess. In fact, I’m afraid I invented it while writing this paragraph! Still, you know, “old” is a comparative term. I think you would be quite justified in addressing a chicken, just of of the shell, as “Old boy!” when compared with another chicken, that was only half-out!

4. How To End a Letter

If doubtful whether to end with “yours faithfully”, or “yours truly”, or “your most truly”, &c. (there are at least a dozen varieties, before you reach “yours affectionately”), refer to your correspondent’s last letter, and make your winding-up at least as friendly as his: in fact, even if a shade more friendly, it will do no harm!

A Postscript is a very useful invention: but it is not meant (as so many ladies suppose) to contain the real gist of the letter: it serves rather to throw into the shade any little matter we do not wish to make a fuss about. For example, your friend had promised to execute a commission for you in town, but forgot it, thereby putting you to great inconvenience: and he now writes to apologize for his negligence. It would be cruel, and needlessly crushing, to make it the main subject of your reply. How much more gracefully it comes in thus! “P.S. Don’t distress yourself any more about having omitted that little matter in town. I wo’n’t deny that it did put my plans out a little, at the time: but it’s all right now. I often forget things, myself: and ‘those, who live in glass-houses, mustn’t throw stones’, you know!”

When you take your letters to the Post, carry them in your hand. If you put them in your pocket you will take a long country-walk (I speak from experience), passing the Post-Office twice, going and returning, and, when you get home, will find them still in your pocket.

5. On Registering Correspondence

Let me recommend you to keep a record of Letters Received and Sent. I have kept one for many years, and have found it of the greatest possible service, in many ways: it secures my answering Letters, however long they have to wait; it enables me to refer, for my own guidance, to the details of previous correspondence, though the actual Letters may have been destroyed long ago; and, most valuable feature of all, if any difficulty arises, years afterwards, in connection with a half-forgotten correspondence, it enables me to say, with confidence, “I did not tell you that he was ‘an invaluable servant in every way’, and that you couldn’t ‘trust him too much’. I have a precis of my letter. What I said was ‘he is a valuable servant in many ways, but don’t trust him too much. So, if he’s cheated you, you really must not hold me responsible for it!”

I will now give you a few simple Rules for making, and keeping a Letter-Register.

Get a blank book, containing (say) 200 leaves, about 4 inches wide and 7 high. It should be well fastened into its cover, as it will have to be opened and shut hundreds of times. Have a line ruled, in red ink, down each margin of every page, an inch off the edge (the margin should be wide enough to contain a number of 5 digits, easily: I manage with a 3/4 inch margin: but, unless you write very small you will find an inch more comfortable).

Write a precis of each Letter, received or sent, in chronological order. Let the entry of a “received” Letter reach from the left-hand edge to the right-hand marginal line; and the entry of a “sent” Letter from the left-hand marginal line to the right-hand edge. Thus the two kinds will be quite distinct, and you can easily hunt through the “received” Letters by themselves, without being bothered with the “sent” Letters; and vice versa.

Use the right-hand pages only: and, when you come to the end of the book, turn it upside-down, and begin at the other end, still using right-hand pages. You will find this much more comfortable than using left-handed pages.

You will find it convenient to write, at the top of every sheet of a “received” Letter, its Register-Number in full.

I will now give a few (ideal) specimen pages of my Letter-Register, and make a few remarks on them: after which I think you will find it easy enough to manage one for yourself.

29217   |            /90.                  |
--------|                                  |
 (217)  | Ap.  1.  (Tu)  Jones, Mrs. am    || 27518
 sendg, | as present from self and Mr.     ||
 J., a  | white elephant.                  || 225
--------|----------------------------------||
 (218)  | do. Wilkins  & Co.  bill,  for   || 28743
 grand  | piano, £175 10s. 6d.          [pd|| 221, 2
--------|----------------------------------||
 (219)  | do.  Scareham,  H.   [writes from||
 “Grand | Hotel,  Monte  Carlo”]  asking   |
 to borr|ow £50 for a few weeks (!)        |
--------|----------------------------------|-----------
       ||(220)  do.  Scareham,  H.  would  | like to
       || know  object,  for wh  loan  is  | asked
       || and security offered.            |
       ||----------------------------------|-----------
    218||(221)  Ap.  3.  Wilkins  &  Co.   || in pre-
       || vious  letter,  now  before  me, ||   you
       || undertook  to  supply  one  for  ||   £120:
    246|| decling to pay more.             ||
       ||----------------------------------------------
23514  ||(222)  do.  Cheetham  &  Sharp.   |    have
218    || written  221 -- enclosing  previo|us   let-
    228||ter -- is law on my side?         |      [
-------||----------------------------------|-----------
 (223) || Ap.  4.  Manager,  Goods  Statn, ||
 G. N. || R.  White  Elephant  arrived, ad-||
dressed|| to you -- send for it at once -- ||
‘very  || savage.’                         || 226
-------------------------------------------------------
29225   |            /90.                  |
--------|                                  |
    217||(225) Ap.  4  (F)  Jones,  Mrs. th||anks,
       || but no room for it at present, am|| sendin-
    230|| ing it to Zoological Gardens.    ||
        |----------------------------------|-----------
    223||(226)  do.   Manager,   Goods   Sta||tn, G.
       || N. R. please deliver, to bearer || of this
       || note, case containing White Ele- ||phant
       || addressed to me.                 |
       ||----------------------------------|-----------
       ||(227)  do.  Director  Zool.  Garde|ens.  (en-
  223  || closing above note  to  R. W.  Ma|nager)
       || call for valuable  animal,  prese|nted to
    229|| Gardens                          |
--------|----------------------------------|-----------
 (228)  | Ap.  8.  Cheetham  &  Sharp, you || 222
 misquot|e  enclosed  letter,  limit named ||
 is  £18|0                                 || 237
--------|----------------------------------||
 (229)  | Ap. 9. Director,  Zoo.  Gardens. || 227
 case de|livered to  us contained  1 doz.  ||    230
 Port-- | consumed   at   Directors’  Ban- ||
 quet-- | many thanks.                     |
--------|----------------------------------|-----------
    225||(230)  do.  T   Jones,  Mrs.  why | call a
      ¤|| doz. or Port a ‘White Elephant’? |
--------|----------------------------------|-----------
 (231)  | do.  T  Jones,  Mrs.  ‘it  was a ||¤
 joke.’ |                                  ||
--------|----------------------------------|-----------
29233   |            /90.                  |
--------|                                  |
       ||(233) Ap.  10  (Th)  Page  &  Co. | orderg
       || Macauley’s   Essays   and  Jane | Eyre”
    242|| (cheap edtn).                    |
--------|----------------------------------|-----------
 (234)  | do.  Aunt  Jemina -- invitg  for |
 2 or 3 | days after the 15th.          [  |236
--------|----------------------------------|-----------
 (235)  | do.  Lon.  and  West. Bk.  have  |
 recevd | £250,  pd to yr Acct  fm  Parkins|
 & Co.  | Calcutta.                     [en|
--------|----------------------------------|-----------
    234||(236)  do.  Aunt   Jemina  --  can|not
       || possibly come  this month,  will | write
    239|| when able.                       |    [
    228||(237)   Ap.  II.   Cheetham  and  | Co. re-
    240||turn letter enclosed to you.      |    [ ×
-------------------------------------------------------
       ||(238)   do.  Morton,   Philip   Co|uld you
       || lend  me    Browning’s   Dramati|s Per-
    245||sonæ” for a day or 2?             |
--------|----------------------------------|-----------
 (239)  | Ap.   14.   Aunt  Jemina,  leav- ||236
 ing hou|se at  end  of  month:   address  ||
 “136,  | Royal Avenue, Bath.”          [  ||
--------|----------------------------------||
 (240)  | Ap.  15.  Cheetham   and   Co.,  ||237
 returng| letter as reqd, bill 6/6/8.   [  ||244
--------|----------------------------------|-----------
29242   |            /90.                  |
--------|                                  |
 (242)  | Ap.  15.  (Tu)  Page & Co.  bill ||\ 233
 for boo|ks, as ordered, 15/6           [  || |
--------|----------------------------------||  >
 (243)  | do. ¶ do. books                  || |
        |                                  ||/ 247
--------|----------------------------------|-----------
    240||(244)  do.  Cheetham  and  Co.   c|an un-
    248||derstand the 6/8 -- what  is  £6  | for?
--------|----------------------------------|-----------
 (245)  | Ap.  17.   ·   Morton,   P.  “Dra|238
 matis  | Personæ,” as asked for.     [retd|249
--------|----------------------------------|-----------
    221||(246)   do.   Wilkins  and  Co.  w|ith
    250|| bill,  175/10/6, and ch. for do. |   [en
       ||----------------------------------|-----------
    243||(247) do.  Page and Co.  bill,    | 15/6,
       || postal  J  107258 for  15/-  and | 6 stps.
--------|----------------------------------|-----------
 (248)  | Ap.  18.  Cheetham  and  Co, it  ||244
 was a  | “clerical error” (!)             ||
--------|----------------------------------|-----------
    245||(249)  Ap.  19.  Morton,  P.  retu|rng
       || Browning with many thanks.       |
--------|----------------------------------|-----------
 (250)  | do.  Wilkins  and  Co.  receptd  ||246
 bill.  |                                  ||
-------------------------------------------------------

Transcriber’s Notes:

  • “¤” is actually a circle with a dot in the middle.
  • T” is actually a ‘sans-serif’ oversized “T”.
  • “×” is actually the crossed multiply ‘X’.

I begin each page by putting, at the top left-hand corner, the next entry-number I am going to use, in full (the last 3 digits of each entry-number are enough afterwards); and I put the date of the year, at the top, in the centre.

I begin each entry with the last 3 digits of the entry-number, enclosed in an oval (this is difficult to reproduce in print, so I have put round-parentheses here). Then, for the first entry in each page, I put the day of the month and the day of the week: afterwards, “do.” is enough for the month-day, till it changes: I do not repeat the week-day.

Next, if the entry is not a letter, I put a symbol for “parcel” (see Nos. 243, 245) or “telegram” (see Nos. 230, 231) as the case may be.

Next, the name of the person, underlined (indicated here by italics).

If an entry needs special further attention, I put [ at the end: and, when it has been attended to, I fill in the appropriate symbol, e.g., in No. 218, it showed that the bill had to be paid; in No. 222, that an answer was really needed (the “x” means “attended to”); in No. 234, that I owed the old lady a visit; in No. 235, that the item had to be entered in my account book; in No. 236, that I must not forget to write; in No. 239, that the address had to be entered in my address-book; in No. 245, that the book had to be returned.

I give each entry the space of 2 lines, whether it fills them or not, in order to have room for references. And, at the foot of each page I leave 2 or 3 lines blank (often userful afterwards for entering omitted Letters) and miss one or 2 numbers before I begin the next page.

At any odd moments of leisure, I “make up” the entry-book, in various ways, as follows:

  1. I draw a second line, at the right-hand end of the “received” entries, and at the left-hand end of the “sent” entries. This I usually do pretty well “up to date”. In my Register the first line is red, the second blue: here I distinguish them by making the first thin, and the second thick.
  2. Beginning with the last entry, and going backwards, I read over the names till I recognize one as having occurred already: I then link the two entries together, by giving the one, that comes first in chronological order, a “foot-reference” (see Nos. 217, 225). I do not keep this “up to date”, but leave it till there are 4 or 5 pages to be done. I work back till I come among entries that are all supplied with “foot-references”, when I once more glance through the last few pages, to see if there are any entries not yet supplied with head-references: their predecessors may need a special search. If an entry is connected, in subject, with another under a different name, I link them by cross-references, distinguished from the head- and foot-references by being written further from the marginal line (see No. 229). When 2 consecutive entries have the same name, and are both of the same kind (i.e. both “received” or both “sent”) I bracket them (see Nos. 242, 243); if of different kinds, I link them with the symbol used for Nos. 219, 220.
  3. Beginning at the earliest entry not yet done with, and going forwards, I cross out every entry that has got a head- and foot-reference, and is done with, by continuing the extra line through it (see Nos. 221, 223, 225). Thus, wherever a break occurs in this extra line, it shows there is some matter still needing attention. I do not keep this anything like “up to date”, but leave it till there are 30 or 40 pages to look through at a time. When the first page in the volume is thus completely crossed out, I put a mark at the foot of the page to indicate this; and so with pages 2, 3, &c. hence, whenever I do this part of the “making-up”, I need not begin at the beginning of the volume, but only at the earliest page that has not got this mark.

All this looks very complicated, when stated at full length: but you will find it perfectly simple, when you have had a little practice, and will come to regard the “making-up” as a pleasant occupation for a rainy day, or at any time that you feel disinclined for more severe mental work. In the Game of Whist, Hoyle gives us one golden Rule, “When in doubt, win the trick”--I find that Rule admirable in real life: when in doubt what to do, I “make-up” my Letter-Register!

 

I have used the following link:

©http://www.hoboes.com/html/FireBlade/Carroll/Words/

 

 

How to Learn

by Lewis Carroll

The Rev. Charles Lutwidge Dodgson (1832-98) wrote under the pseudoym Lewis Carroll, and is primarily known for Alice in Wonderland and Through the Looking Glass. Carroll was a mathematician, photographer, inventor of puzzles and games, and wrote light verse. When he wrote on mathematics and logic it was not without whimsy, as evidenced by the following introduction to his book on Symbolic Logic. In any case, this is excellent advice on how to read any textbook.]

The learner, who wishes to try the question fairly, whether this little book does, or does not, supply the materials for a most interesting mental recreation, is earnestly advised to adopt the following Rules:

  1. Begin at the beginning, and do not allow yourself to gratify mere idle curiosity by dipping into the book, here and there. This would very likely lead to your throwing it aside, with the remark `This is much too hard for me!', and thus losing the chance of adding a very large item to your stock of mental delights . . .
  2. Don't begin any fresh Chapter, or Section, until you are certain that you thoroughly understand the whole book up to that point and that you have worked, correctly, most if not all of the examples which have been set . . . Otherwise, you will find your state of puzzlement get worse and worse as you proceed till you give up the whole thing in utter disgust.
  3. When you come to a passage you don't understand, read it again: if you still don't understand it, read it again: if you fail, even after three readings, very likely your brain is getting a little tired In that case, put the book away, and take to other occupations, and next day, when you come to it fresh, you will very likely find that it is quite easy.
  4. If possible, find some genial friend, who will read the book along with you, and will talk over the difficulties with you. Talking is a wonderful smoother-over of difficulties. When I come upon anything—in Logic or in any other hard subject—that entirely puzzles me, I find it a capital plan to talk it over, aloud, even when I am all alone. One can explain things so clearly to one's self! And then you know, one is so patient with one's self: one never gets irritated at one's own stupidity!

If, dear Reader, you will faithfully observe these Rules, and give my little book a really fair trial, I promise you, most confidently, that you will find Symbolic Logic to be one of the most, not the most, fascinating of mental recreations! In this First Part I have carefully avoided all difficulties which seemed to me to beyond the grasp of an intelligent child of (say) twelve or fourteen years of age. I have myself taught most of its contents, viva voce, to many children, and have found them take a real intelligent interest in the subject. For those, who succeeded in mastering Part I, and who begin, like Oliver, `asking for more,' I hope to provide, in Part II, some tolerably hard nuts to crack—nuts that will require all the nut-crackers they happen to possess!

Mental recreation is a thing that we all of us need for our mental health. Symbolic Logic will give you clearness of thought—the ability to see your way through a puzzle—the habit of arranging your ideas in an orderly and get-at-able form—and, more valuable than all, the power to detect fallacies, and to tear to pieces the flimsy illogical arguments, which you will continually encounter in books, in newspapers, in speeches, and even in sermons, and which so easily delude those who have never taken the trouble to master this fascinating Art. Try it. That is all I ask of you!

From The Complete Works of Lewis Carroll, London, The Nonesuch Press, 1939, pp. 1116-19.

 

I have used the following link:

©http://www.lhup.edu/~dsimanek/carroll.htm

 

 

What The Tortoise Said To Achilles

by Lewis Carroll

Originally published in Mind, No. 4, 1895, pp. 278-280

Achilles had overtaken the Tortoise, and had seated himself comfortably on its back.

"So you've got to the end of our race-course?" said the Tortoise. "Even though it does consist of an infinite series of distances? I thought some wiseacre or other had proved that the thing couldn't be done?"

"It can be done," said Achilles. "It has been done! Solvitur ambulando. You see the distances were constatntly diminishing: and so -"

"But if they had been constantly increasing?" the Tortoise interrupted. "How then?"

"Then I shouldn't be here," Achilles modestly replied; "and you would have got several times round the world, by this time!"

"You flatter me - flatten, I mean," said the Tortoise; "for you are a heavy weight, and no mistake! Well now, would you like to hear of a race-course, that most people fancy they can get to the end of in two or three steps, while it really consists of an infinite number of distances, each one longer than the previous one?"

"Very much indeed!" said the Grecian warrior, as he drew from his helmet (few warriors possessed pockets in those days) an enormous note-book and a pencil. "Proceed! And speak slowly, please! Short-hand isn't invented yet!"

"That beautiful First Proposition of Euclid!" the Tortoise murmured dreamily. "You admire Euclid?"

"Passionately! So far, at least, as one can admire a treatise that won't be published for some centuries to come!"

"Well, now, let's take a little bit of the argument in that First Proposition - just two steps, and the conclusion drawn from them. Kindly enter them in your note-book. And, in order to refer to them conveniently, let's call them A, B, and Z:

(A) Things that are equal to the same are equal to each other.

(B) The two sides of the Triangle are things that are equal to the same.

(Z) The two sides of this Triangle are equal to each other.

"Readers of Euclid will grant, I suppose, that Z follows logically from A and B, so that anyone who accepts A and B is true, must accept Z as true?"

"Undoubtedly! The youngest child in a High School - as soon as High Schools are invented, which will not be till some two thousand years later - will grant that."

"And if some reader had not yet accepted A and B as true, he might still accept the Sequence as a valid one, I suppose?"

"No doubt such a reader might exist. He might say 'I accept as true the Hypothetical Proposition that, if A and B be true, Z must be true; but I don't accept A and B as true.' Such a reader would do wisely in abandoning Euclid, and taking to football."

"And might there not also be some reader who would say 'I accept A and B as true, but I don't accept the Hypothetical'?"

"Certainly there might. He, also, had better take to football."

"And neither of these readers," the Tortoise continued, "is as yet under any logical necessity to accept Z as true?"

"Quite so," Achilles assented.

"Well, now, I want you to consider me as a reader of the second kind, and to force me, logically, to accept Z as true."

"A tortoise playing football would be - " Achilles was beginning.

" - an anomaly, of course," the Tortoise hastily interrupted. "Don't wander from the point. Let's have Z first, and football afterwards!"

"I'm to force you to accpt Z, am I?" Achilles said musingly. "And your present position is that you accept A and B, but you don't accept the Hypothetical -"

"Let's call it C," said the Tortoise.

" - but you don't accept:

(C) If A and B are true, Z must be true."

"That is my present position," said the Tortoise.

"Then I must ask you to accept C."

"I'll do so," said the Tortoise, "as soon as you've entered it in that note-book of yours. What else have you got in it?"

"Only a few memoranda," said Achilles, nervoiusly fluttering the leaves: "a few memoranda of - of the battles in which I have distinguished myself!"

"Plenty of blank leaves, I see!" the Tortoise cherily remarked. "We shall need them all!" (Achilles shuddered.) "Now write as I dictate:

(A) Things that are equal to the same are equal to each other.

(B) The two sides of this triangle are things that are equal to the same.

(C) If A and B are true, Z must be true.

(Z) The two sides of this Triangle are equal to each other."

"You should call it D, not Z," said Achilles. "It comes next to the other three. If you accept A and B and C, you must accept Z."

"And why must I?"

"Because it follows logically from them. If A and B and C are true, Z must be true. You don't dispute that, I imagine?"

"If A and B and C are true, Z must be true," the Tortoise thoughtfully repeated. "That's another Hypothetical, isn't it? And, if I failed to see its truth, I might accept A and B and C, and still not accept Z, mightn't I?"

"You might," the candid hero admitted; "though such obtuseness would certainly be phenominal. Still, the event is possible. So I must ask you to grant one more Hypothetical."

"Very good. I'm quite willing to grant it, as soon as you've written it down. We will call it

(D) If A and B and C are true, Z must be true.

"Have you entred that in your note-book?"

"I have!" Achilles joyfully exclaimed, as he ran the pencil into its sheath. "And at last we've got to the end of this ideal race-course! Now that you accept A and B and C and D, of course you accept Z."

"Do I?" said the Tortoise innocently. "Let's make that quite clear. I accept A and B and C and D. Suppose I still refuse to accept Z?"

"Then Logic would take you by the throat, and force you to do it!" Achilles triumphantly replied. "Logic would tell you 'You can't help yourself. Now that you've accepted A and B and C and D, you must accept Z!" So you've no choice, you see."

"Whatever Logic is good enough to tell me is worth writing down," said the Tortoise. "So enter it in your book, please. We will call it

(E) If A and B and C and D are true, Z must be true.

"Unitil I've granted that, of course, I needn't grant Z. So it's quite a necessary step, you see?"

"I see," said Achilles; and there was a touch of sadness in his tone.

Here the narrator, having pressing business at the Bank, was obliged to leave the happy pair, and did not again pass the spot until some months afterwards. When he did so, Achilles was still seated on the back of the much-enduring Tortoise, and was writing in his note-book, which appeared to be nearly full. The Tortoise was saying "Have you got that last step written down? Unless I've lost count, that makes a thousand and one. There are several millions more to come. And would you mind - a personal favor - considering what a lot of instruction this colloquy of ours will provide for the Logicians of the Nineteenth Century - would you mind adopting a pun that my cousin the Mock-Turtle will then make, and allowing yourself to be re-named Taught-Us?"

"As you please!" replied the weary warrior, in the hollow tones of dispair, as he buried his face in his hands. "Provided that you, for your part, will adopt a pun the Mock-Turtle never made, and allow yourself to be re-named A Kill-Ease!"

 

I have used the following link:

©http://www.lewiscarroll.org/achilles.html             

 

 

Academic year 2008/2009
© a.r.e.a./Dr.Vicente Forés López
© Maria Ciurana Cataluña
ciucama@alumni.uv.es
Universitat de València Press