by A. A. Milne
As a relief from searching for news in a press devoid of news, the study of these problems is welcome enough, and to the unmathematical mind, no doubt, the solutions appear to be something miraculous. But to the mathematical mind a thing more miraculous is the awe with which the unmathematical regard the simplest manipulation of figures. Most of my life at school was spent in such pursuits that I feel bound to claim the mathematical mind to some extent, with the result that I can look down wonderingly upon these deeps of ignorance yawning daily in the papers – much, I dare say, as the senior wrangler looks down upon me. Figures may puzzle me occasionally, but at least they never cause me surprise or alarm.
Naturally, then, I am jealous for the mathematical mind. If a man who makes a false quantity, or attributes Lycidas to Keats, is generally admitted to be uncultured, I resent it very much that no stigma attaches to the gentleman who cannot do short division. I remember once at school having to do a piece of Latin prose about the Black Hole of Calcutta. It was a moving story as told in our prose book, and I had spent an interesting hour turning into fairly correct and wholly uninspired Latin – the sort of Latin I suppose which a small uneducated Roman child (who had heard the news) would have written to a schoolboy friend. The size of the Black Hole was given as ‘twenty foot square’. I had no idea how to render this idiomatically, but I knew that a room 20 ft. square contained 400 square feet. Also I knew the Latin for one square foot. But you will not be surprised to hear that my form master, a man of culture and education, leapt upon me.
‘Quadringenti,’ he snapped, ‘is 400, not 20.’
‘Quite so,’ I agreed. ‘The room had 400 square feet.’
‘Read it again. It says 20 square feet.’
‘No, no, 20 feet square.’
He glared at me in indignation. ‘What’s the difference?’ he said.
I sighed and began to explain. I went on explaining. If there had not been other things to do than teaching cultured and educated schoolmasters, I might be explaining still.
Yes, I resented this; and I resent now the matter-of-fact way in which we accept the ignorance of mathematics shown by our present teachers – the press. At every election in which there are only two candidates a dozen papers discover with amazement this astounding coincidence in the figures: that the decrease in, say, the Liberal vote subtracted from the increase in the Conservative vote is exactly equal to the increase in the poll. If there should happen to be three candidates for a seat, the coincidences discovered are yet more numerous and astonishing. Last Christmas a paper let itself go still further, and dived into the economics of the plum pudding. A plum pudding contains raisins, flour, and sugar. Raisins had gone up 2d. a pound, or whatever it was, flour 6d., and sugar 1d. Hence the pudding now would cost 9d. a pound more!
Consider, too, the extraordinary antics of the press over the methods of scoring in the cricket championship. Wonderful new suggestions are made which, if followed, could only have the effect of bringing the teams out in exactly the same order as before. The simplest of simple problems in algebra would have shown them this, but they feared to mix themselves up with such unknown powers of darkness. The Theory of Probability, again, leaves the press entirely cold, so that it is ready to father any childish ‘system’ for Monte Carlo. And nine men out of ten really believe that, if you toss a penny five times in the air and it comes down heads each time, it is more likely to come down tails than heads next time.
Yet papers and people who think like this are considered quite capable of dealing with the extraordinarily complicated figures of national finance. They may boom or condemn insurance bills and fiscal policies, and we listen to them reverently. As long as they know what Mr Gladstone said in ’74, it doesn’t seem to matter at all what Mr Todhunter said in his ‘Arithmetic for Beginners’.
– The Charm of Golf –
When he reads of the notable doings of famous golfers, the eighteen-handicap man has no envy in his heart. For by this time he has discovered the great secret of golf. Before he began to play he wondered wherein lay the fascination of it; now he knows. Golf is so popular simply because it is the best game in the world at which to be bad.
Consider what it is to be bad at cricket. You have bought a new bat, perfect in balance; a new pair of pads, white as driven snow; gloves of the very latest design. Do they let you use them? No. After one ball, in the negotiation of which neither your bat, nor your pads, nor your gloves came into play, they send you back into the pavilion to spend the rest of the afternoon listening to fatuous stories of some old gentleman who knew Fuller Filch. And when your side takes the field, where are you? Probably at long leg both ends, exposed to the public gaze as the worst fieldsman in London. How devastating are your emotions. Remorse, anger, mortification, fill your heart; above all, envy – envy of the lucky immortals who disport themselves on the green level of Lord’s.
Consider what it is to be bad at lawn tennis. True, you are allowed to hold on to your new racket all through the game, but how often are you allowed to employ it usefully? How often does your partner cry ‘Mine!’ and bundle you out of the way? Is there pleasure in playing football badly? You may spend the full eighty minutes in your new boots, but your relations with the ball will be distant. They do not give you a ball to yourself at football.
But how different a game is golf. At golf it is the bad player who gets the most strokes. However good his opponent, the bad player has the right to play out each hole to the end; he will get more than his share of the game. He need have no fears that his new driver will not be employed. He will have as many swings with it as the scratch man; more, if he misses the ball altogether upon one or two tees. If he buys a new niblick he is certain to get fun out of it on the very first day.
And, above all, there is this to be said for golfing mediocrity – the bad player can make the strokes of the good player. The poor cricketer has perhaps never made fifty in his life; as soon as he stands at the wickets he knows that he is not going to make fifty today. But the eighteen-handicap man has some time or other played every hole on the course to perfection. He has driven a ball 250 yards; he has made superb approaches; he has run down the long putt. Any of these things may suddenly happen to him again. And therefore it is not his fate to have to sit in the club smoking-room after his second round and listen to the wonderful deeds of others. He can join in too. He can say with perfect truth, ‘I once carried the ditch at the fourth with my second,’ or ‘I remember when I drove into the bunker guarding the eighth green,’ or even ‘I did a three at the eleventh this afternoon’ – bogey being five. But if the bad cricketer says, ‘I remember when I took a century in forty minutes off Lockwood and Richardson,’ he is nothing but a liar.
For these and other reasons golf is the best game in the world for the bad player. And sometimes I am tempted to go further and say that it is a better game for the bad player than for the good player. The joy of driving a ball straight after a week of slicing, the joy of putting a mashie shot dead, the joy of even a moderate stroke with a brassie; best of all, the joy of the perfect cleek shot – these things the good player will never know. Every stroke we bad players make we make in hope. It is never so bad but it might have been worse; it is never so bad but we are confident of doing better next time. And if the next stroke is good, what happiness fills our soul. How eagerly we tell ourselves that in a little while all our strokes will be as good.
What does Vardon know of this? If he does a five hole in four he blames himself that he did not do it in three; if he does it in five he is miserable. He will never experience that happy surprise with which we hail our best strokes. Only his bad strokes surprise him, and then we may suppose that he is not happy. His length and accuracy are mechanical; they are not the result, as so often in our case, of some suddenly applied maxim or some suddenly discovered innovation. The only thing which can vary in his game is his putting, and putting is not golf but croquet.
But of course we, too, are going to be as good as
Vardon one day. We are only postponing the day because meanwhile it is so pleasant to be bad. And it is part of the charm of being bad at golf that in a moment, in a single night, we may become good. If the bad cricketer said to a good cricketer, ‘What am I doing wrong?’ the only possible answer would be, ‘Nothing particular, except that you can’t play cricket.’ But if you or I were to say to our scratch friend, ‘What am I doing wrong?’ he would reply at once, ‘Moving the head’ or ‘Dropping the right knee’ or ‘Not getting the wrists in soon enough’, and by tomorrow we should be different players. Upon such a little depends, or seems to the eighteen-handicap to depend, excellence in golf.
And so, perfectly happy in our present badness and perfectly confident of our future goodness, we long-handicap men remain. Perhaps it would be pleasanter to be a little more certain of getting the ball safely off the first tee; perhaps at the fourteenth hole, where there is a right of way and the public encroach, we should like to feel that we have done with topping; perhaps –
Well, perhaps we might get our handicap down to fifteen this summer. But no lower; certainly no lower.
– A Question of Form –
The latest invention on the market is the wasp gun. In theory it is something like a letter clip; you pull the trigger and the upper and lower plates snap together with a suddenness which would surprise any insect in between. The trouble will be to get him in the right place before firing. But I can see that a lot of fun can be got out of a wasp drive. We shall stand on the edge of the marmalade while the beaters go through it, and, given sufficient guns, there will not be many insects to escape. A loader to clean the weapon at regular intervals will be a necessity.
Yet I am afraid that society will look down upon the wasp gun. Anything useful and handy is always barred by the best people. I can imagine a bounder being described as ‘the sort of person who uses a wasp gun instead of a teaspoon’. As we all know, a hat-guard is the mark of a very low fellow. I suppose the idea is that you and I, being so dashed rich, do not much mind if our straw hat does blow off into the Serpentine; it is only the poor wretch of a clerk, unable to afford a new one every day, who must take precautions against losing his first. Yet how neat, how useful, is the hat-guard. With what pride its inventor must have given birth to it. Probably he expected a statue at the corner of Cromwell Road, fitting reward for a public benefactor. He did not understand that, since his invention was useful, it was probably bad form.
Consider, again, the Richard or ‘dicky’. Could there be anything neater or more dressy, anything more thoroughly useful? Yet you and I scorn to wear one. I remember a terrible situation in a story by Mr W. S. Jackson. The hero found himself in a foreign hotel without his luggage. To that hotel came, with her father, the girl whom he adored silently. An invitation was given him to dinner with them, and he had to borrow what clothes he could from friendly waiters. These, alas! included a dicky. Well, the dinner began well; our hero made an excellent impression; all was gaiety. Suddenly a candle was overturned and the flame caught the heroine’s frock. The hero knew what the emergency demanded. He knew how heroes always whipped off their coats and wrapped them round burning heroines. He jumped up like a bullet (or whatever jumps up quickest) and – remembered.
He had a dicky on! Without his coat, he would discover the dicky to the one person of all from whom he wished to hide it. Yet if he kept his coat on, she might die. A truly horrible dilemma. I forget which horn he impaled himself upon, but I expect you and I would have kept the secret of the Richard at all costs. And what really is wrong with a false shirt-front? Nothing except that it betrays the poverty of the wearer. Laundry bills don’t worry us, bless you, who have a new straw hat every day; but how terrible if it was suspected that they did.
Our gentlemanly objection to the made-up tie seems to rest on a different foundation; I am doubtful as to the psychology of that. Of course it is a deception, but a deception is only serious when it passes itself off as something which really matters. Nobody thinks that a self-tied tie matters; nobody is really proud of being able to make a cravat out of a length of silk. I suppose it is simply the fact that a made-up tie saves time which condemns it; the safety razor was nearly condemned for a like reason. We of the leisured classes can spend hours over our toilet; by all means let us despise those who cannot.
As far as dress goes, a man only knows the things which a man mustn’t do. It would be interesting if women would tell us what no real lady ever does. I have heard a woman classified contemptuously as one who does her hair up with two hair-pins, and no doubt bad feminine form can be observed in other shocking directions. But again it seems to be that the semblance of poverty, whether of means or of leisure, is the one thing which must be avoided.
Why, then, should the wasp gun be considered bad form? I don’t know, but I have an instinctive feeling that it will be. Perhaps a wasp gun indicates a lack of silver spoons suitable for lethal uses. Perhaps it shows too careful a consideration of the marmalade. A man of money drowns his wasp in the jar with his spoon, and carelessly calls for another pot to be opened. The poor man waits on the outskirts with his gun, and the marmalade, void of corpses, can still be passed round. Your gun proclaims your poverty; then let it be avoided.
All the same I think I shall have one. I have kept clear of hat-guards and Richards and made-up ties without quite knowing why, but honestly I have not felt the loss of them. The wasp gun is different; having seen it, I feel that I should be miserable without it. It is going to be excellent sport, wasp-shooting; a steady hand, a good eye, and a certain amount of courage will be called for. When the season opens I shall be there, good form or bad form. We shall shoot the apple-quince coverts first. ‘Hornet over!’
– Superstition –
I have just read a serious column on the prospects for next year. This article consisted of contributions from experts in the various branches of industry (including one from a meteorological expert who, I need hardly tell you, forecasted a wet summer) and ended with a general summing up of the year by Old Moore or one of the minor prophets. Old Moore, I am sorry to say, left me cold.
I should like to believe in astrology, but I cannot. I should like to believe that the heavenly bodies sort themselves into certain positions in order that Zadkiel may be kept in touch with the future; the idea of a star whizzing a million miles out of its path by way of indicating a ‘sensational divorce case in high life’ is extraordinarily massive. But, candidly, I do not believe the stars bother. What the stars are for, what they are like when you get there, I do not know; but a starry night would not be so beautiful if it were simply meant as a warning to some unpleasant financier that Kaffirs were going up. The ordinary man looks at the heavens and thinks what an insignificant atom he is beneath them; the believer in astrology looks up and realizes afresh his overwhelming importance. Perhaps, after all, I am glad I do not believe.
Life must be a very tricky thing for the superstitious. At dinner a night or two ago I happened to say that I had never been in danger of drowning. I am not sure now that it was true, but I still think that it was harmless. However, before I had time to elaborate my theme (whatever it was) I was peremptorily ordered to touch wood. I protested that both my feet were on the polished oak and both my elbows on the polished mahogany (one always knew that some good instinct inspired the pleasant habit of elbows on the table) and that anyhow I did not see the need. However, because one must not argue at dinner I tapped the table two or three times … and now I suppose I am immune. At the same time I should like to know exactly whom I have appeased.
For this must be the idea of the wood-touching superstition, that a malignant spirit dogs one’s conversational footsteps, listening eagerly for the complacent word. ‘I have never had the mumps,’ you say airily. ‘Ha, ha!’ says the spirit, ‘haven’t you? Just you wait till next Tuesday, my boy.’ Unconsciously we are crediting Fate with our own human weaknesses. If a man standing on the edge of a pond said aloud, ‘I have never fallen into a
pond in my life’, and we happened to be just behind him, the temptation to push him in would be irresistible. Irresistible, that is by us; but it is charitable to assume that Providence can control itself by now.
Of course, nobody really thinks that our good or evil spirits have any particular feeling about wood, that they like it stroked; nobody, I suppose, not even the most superstitious, really thinks that Fate is especially touchy in the matter of salt and ladders. Equally, of course, many people who throw spilt salt over their left shoulders are not superstitious in the least, and are only concerned to display that readiness in the face of any social emergency which is said to be the mark of good manners. But there are certainly many who feel that it is the part of a wise man to propitiate the unknown, to bend before the forces which work for harm; and they pay tribute to Fate by means of these little customs in the hope that they will secure in return an immunity from evil. The tribute is nominal, but it is an acknowledgment all the same.
A proper sense of proportion leaves no room for superstition. A man says, ‘I have never been in a shipwreck’, and becoming nervous touches wood. Why is he nervous? He has this paragraph before his eyes: ‘Among the deceased was Mr — . By a remarkable coincidence this gentleman had been saying only a few days before that he had never been in a shipwreck. Little did he think that his next voyage would falsify his words so tragically.’ It occurs to him that he has read paragraphs like that again and again. Perhaps he has. Certainly he has never read a paragraph like this: ‘Among the deceased was Mr — . By a remarkable coincidence this gentleman had never made the remark that he had not yet been in a shipwreck.’ Yet that paragraph could have been written truthfully thousands of times. A sense of proportion would tell you that if only one side of a case is ever recorded, that side acquires an undue importance.