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by Francis Galton, 1872
with notes on his other work

New translation, the Magna Carta
portrait of Francis Gallton seated at a writing desk Index

how to teach a person number, arithmetic, mathematics

marker at introduction
marker at counting and addition
marker at subtraction & more counting
marker at multiplication
marker at division

On the efficacy of prayer
On visualising a million
Outline of Galton’s life and studies
  Travels and exploration
    1853 map of Africa showing the routes of its explorers
Also by Francis Galton:
    1853 map of Africa showing the routes of other recent explorers

‘intelligence’: misuse and abuse of statistics

logicians, 'logic' and madness

  Hottentot beauties
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{p.125} AN eminent authority has recently published a challenge to test the efficacy of prayer by actual experiment. I have been induced, through reading this, to prepare the following memoir for publication nearly the whole of which I wrote and laid by many years ago, after completing a large collection of data, which I had undertaken for the satisfaction of my own conscience.

The efficacy of prayer seems to me a simple, as it is a perfectly appropriate and legitimate subject of scientific inquiry. Whether prayer is efficacious or not, in any given sense, is a matter of fact on which each man must form an opinion for himself. His decision will lie based upon data more or less justly handled, according to his education and habits. An unscientific reasoner will be guided by a confused recollection of crude experience. A scientific reasoner will scrutinise each separate experience before he admits it as evidence, and will compare all the cases he has selected on a methodical system.

The doctrine commonly preached by the clergy is well expressed in the most recent, and by far the most temperate and learned of theological encyclopedias, namely, Smith’s Dictionary of the Bible. The article on "Prayer," written by the Rev. Dr. Barry, states as follows: "Its real objective efficacy is both implied and expressed [in Scripture] in the plainest terms We are encouraged to ask special blessings, both spiritual and temporal, in hopes that thus, and thus only, we may obtain them It would seem the intention of holy Scripture to encourage all prayer, more especially intercession, in all relations and for all righteous objects." Dr. Hook, the present Dean of Chichester, states in his "Church Dictionary," under "Prayer," that "the general providence of God acts through what are called the laws of nature By his particular providence God interferes with those laws, and he has promised to interfere in behalf of those who pray in the name of Jesus We may take it as a general rule that we may pray for that for which we may lawfully labour, and for that only." {p.126} The phrases of our Church service amply countenance this view; and if we look to the practice or the opposed sections of the religious world, we find them consistent in maintaining it. The so-called "Low Church" notoriously places absolute belief in special providences accorded to pious prayer. This is testified by the biographies of its members, the journals of its missionaries, and the ‘united prayer-meetings’ of the present day. The Roman Catholics offer religious vows to avert danger; they make pilgrimages to shrines; they hang votive offerings and pictorial representations sometimes by thousands, in their churches, of fatal accidents averted by the manifest interference of a solicited saint. A primā facie argument in favour of the efficacy of prayer is therefore to be drawn from the very general use of it. The greater part of mankind, during all the historic ages, have been accustomed to pray for temporal advantages. Hw vain, it may be urged, must be the reasoning that ventures to oppose this mighty consensus of belief! Not so. The argument of universality either proves too much, or else it is suicidal. It either compels us to admit that the prayers of Pagans, of Fetish worshippers, and of Buddhists who turn praying-wheels, are recompensed in the same way as those of orthodox believers; or else the general consensus proves that it has no better foundation than the universal tendency of man to gross credulity.

The collapse of the argument of universality leaves us solely concerned with a simple statistical question—are prayers answered, or are they not? There are two lines of research, by either of which we may pursue this inquiry. The one that promises the most trustworthy results is to examine large classes of cases, and to be guided by broad averages; the other, which I will not employ in these pages, is to deal with isolated instances. An author who made much use of the latter method might reasonably suspect his own judgment—he would certainly run the risk of being suspected by others—in choosing one-sided examples.

The principles are broad and simple upon which our inquiry into the efficacy of prayer must be established. We must gather cases for statistical comparison, in which the same object ia keenly pursued by two classes similar in their physical, but opposite in their spiritual state; the one class being prayerful, the other materialistic. Prudent pious people must be compared with prudent materialistic people, and not with the imprudent nor the vicious. Secondly, we have no regard, in this inquiry, to the course by which the answer to prayers may be supposed to operate. We simply look to the final result—whether those who pray attain their objects more frequently than those who do not pray, but who live in all other respects under similar conditions. Let us new apply our principles to different cases.

A rapid recovery from disease may be conceived to depend {p.127} on many causes besides the reparative power of the patient’s constitution. A miraculous quelling of the disease may be one of these causes, another is the skill of the physician, or of the nurse; another is the care that the patient takes of himself In our inquiry whether prayerful people recover more rapidly than others under similar circumstances, we need not complicate the question by endeavouring to learn the channel through which the patient’s prayer may have reached its fulfilment. It is foreign to our present purpose to ask if there be any signs of a miraculous quelling of the disease or if, through the grace of God, the physician had showed unusual wisdom, or the nurse or the patient unusual discretion. We simply look to the main issue—do sick persons who pray, or are prayed for, recover on the average more rapidly than others?

It appears that, in all countries and in all creeds, the priests urge the patient to pray for his own recovery, and the patient’s friends to aid him with their prayers; but that the doctors make no account whatever of their spiritual agencies, unless the office of priest and medical man be combined in the same individual. The medical works of modern Europe teem with records of individual illnesses and of broad averages of disease, but I have been able to discover hardly any instance in which a medical man of any repute has attributed recovery to the influence of prayer. There is not a single instance, to my knowledge, in which papers read before statistical societies have recognised the agency of prayer either on disease or on anything else. The universal habit of the scientific world to ignore the agency of prayer is a very important fact. To fully appreciate the "eloquence of the silence" of medical men, we must bear in mind the care with which they endeavour to assign a sanatory value to every in influence. Had prayers for the sick any notable effect, it is incredible but that the doctors, who are always on the watch for such things, should have observed it, and added their influence to that of the priests towards obtaining them for every sick man. If they abstain from doing so, it is not because their attention has never been awakened to the possible efficacy of prayer, but, on the contrary, that although they have heard it insisted on from childhood upwards, they are unable to detect its influence. Most people have some general belief in the objective efficacy of prayer, but none seem willing to admit its action in those special cases of which they have scientific cognisance.

Those who may wish to pursue these inquiries upon the effect of prayers for the restoration of health could obtain abundant materials from hospital cases, and in a different way from that proposed in the challenge to which I referred at the beginning of these pages. There are many common maladies whose course is so thoroughly well understood as to admit of accurate tables of probability being constructed for their duration and result. Such are fractures and amputations. Now it would be perfectly practicable to select out of the patients at different {p.128} hospitals under treatment for fractures and amputations two considerable groups; the one consisting of markedly religious piously befriended individuals, the other of those who were remarkably cold-hearted and neglected. An honest comparison of their respective periods of treatment and the results would manifest a distinct proof of the efficacy or prayer; if it existed to even a minute fraction of the amount that religious teachers exhort us to believe.

An inquiry of a somewhat similar nature may be made into the longevity of persons whose lives are prayed for; also that of the praying classes generally; and in both those cases we can easily obtain statistical facts. The public prayer for the sovereign of every state, Protestant and Catholic, is and has been in the spirit of our own, "Grant her in health long to live." Now, as a simple matter of fact, has this prayer any efficacy? There is a memoir by Dr. Guy, in the (Vol. XXII. p.355), in which he compares the mean age of sovereigns with that of other classes of persons. His results are expressed in the following table


  in number


Eminent Men [1]

Members of Royal houses












Medical Profession




English aristocracy






Trade and commerce




Officers in the Royal Navy



English literature and science




Officers of the Army




Fine Arts




The sovereigns are literally the shortest lived of all who have the advantage of affluence. The prayer has therefore no efficacy, unless the very questionable hypothesis be raised, that the conditions of royal life may naturally be yet more fatal, and that their influence is partly, though incompletely, neutralised by the effects of public prayers.

It will be seen that the same table collates the longevity of clergy, lawyers, and medical men. We are justified in considering the clergy to be a far more prayerful class than either of the other two. It is their profession to pray, and they have the practice of offering morning and evening family prayers in addition to their private devotions. A reference to any of the numerous published collections of family prayers will show that they are full of petitions for temporal benefits. We do not, however, find that the clergy are in any {p.129} way more long lived in consequence. It is true that the clergy, as a whole show a life-value of 69.49, as against 68.11 for the lawyers, and 67.31 for the medical men; but the easy country life and family repose of so many of the clergy are obvious sanatory conditions in their favour. This difference is reversed when the comparison is made between distinguished members of the three classes—that is to say, between persons of sufficient note to have had their lives recorded in a biographical dictionary. When we examine this category, the value of life among the clergy, lawyers, and medical men is as 66.42, 66.51, and 67.04 respectively, the clergy being the shortest lived of the three. Hence the prayers of the clergy for protection against the perils and dangers of the night, for protection during the day, and for recovery from sickness, appear to be futile in result.

In my work on “Hereditary Genius,” and in the chapter on ‘Divines,’ I have worked out the subject with some minuteness on other data, but with precisely the same result. I show that the divines are not specially favoured in those worldly matters for which they naturally pray, but rather the contrary, a fact which I ascribe in part to their having, as a class, indifferent constitutional vigour. I give abundant reason for all this, and do not care to repeat myself; but I should be glad if such of the readers of this present paper who may be accustomed to statistics would refer to the chapter I have mentioned. They will find it of use in confirming what I say here They will believe me the more when I say that I have taken considerable pains to get at the truth in the questions raised in this present memoir, and that, when I was engaged upon them, I worked, so far as my material went, with as much care as I gave to that chapter on “Divines;” and lastly, they will understand that, when writing the chapter in question, I had all this material by me unused, which justified me in speaking out as decidedly as I did then.

A further inquiry may be made into the duration of life among missionaries. We should lay greater stress upon their mortality than upon that of the clergy, because the laudable object of a missionary’s career is rendered almost nugatory by his early death. A man goes, say to a tropical climate, in the prime of manhood, who has the probability of many years of useful life before him, had he remained at home. He has the certainty of being able to accomplish sterling good as a missionary, if he should live long enough to learn the language and habits of the country. In the interval he is almost useless. Yet the painful experience of many years shows only too clearly that the missionary is not supernaturally endowed with health. He does riot live longer than other people. One missionary after another dies shortly after his arrival. The work that lay almost within the grasp of each of them lingers incompleted.

It must here he repeated, that comparative immunity from disease compels the suspension of no purely material law, if such an expression {p.130} be permitted. Tropical fever, for example, is due to many subtle causes which are partly under man’s control. A single hour’s exposure to sun, or wet, or fatigue, or mental agitation, will determine an attack. Now even if God acted only on the minds of the missionaries, his action might be as much to the advantage of their health as if he wrought a physical miracle. He could disincline them to take those courses which might result in mischance, such as the forced march, the wetting, the abstinence from food, or the night exposure, any one of which was competent to develope the fever that struck them down. We must not dwell upon the circumstances of individual eases, and say “this was a providential escape,” or “that was a salutary chastisement,” but we must take the broad averages of mortality, and when we do so, we find that the missionaries do not form a favoured class.

The efficacy of prayer may yet further be tested by inquiry into the proportion of deaths at the time of birth among the children of the praying and the non-praying classes. The solicitude of parents is so powerfully directed towards the safety of their expected offspring as to leave no room to doubt that pious parents pray fervently for it, especially as death before baptism is considered a most serious evil by many Christians. However, the distribution of still-births appears wholly unaffected by piety. The proportion, for instance, of the still-births published in the Record newspaper and in the Times was found by me, on an examination of a particular period, to bear an identical relation to the total number of deaths. This inquiry might easily be pursued by those who considered that more ample evidence was required.

When we, pray in our Liturgy “that the nobility may, be endued-with grace, wisdom, and understanding,” we pray for that which is clearly incompatible with insanity. Does that frightful scourge spare our nobility? Does it spare very religious people more than others? The answer is an emphatic negative to both of these questions. The nobility, probably from their want of the wholesome restraints felt in humbler walks of life, and from their intermarriages, and the very religious people of all denominations, probably front their meditations on hell, are peculiarly subject to it. Religious madness is very common indeed.

As I have already hinted, I do not propose any special inquiry whether the general laws of physical nature are ever suspended in fulfilment of prayer: whether, for instance, success has attended the occasional prayers in the liturgy when they have been used for rain, for fair weather, for the stilling of the sea in a storm, or for the abatement of a pestilence. I abstain from doing so for two reasons.

First, if it is proved that God does not answer one large class of prayers at all, it would be of less importance to pursue the inquiry. Secondly, the modern feeling of this country is so, opposed to a belief {p.131} in the occasional suspension of’ the laws of nature, that an English reader would merely smile such an investigation.

If we are satisfied that the actions of man are not influenced by the subtle influences of his thoughts and will, the only probable form of agency will have been disapproved, and no one would dare to advance a claim in favour of direct physical interferences.

Biographies do not show that devotional influences have clustered in any remarkable degree round the youth of those who, whether by their talents or social position, have left a mark upon our English history. Lord Campbell, in his preface to the Lives of the Chancellors, says, “There is no office in the history of any nation that has been filled with such a long succession of distinguished and interesting men as the office of Lord Chancellor,” and that “generally speaking, the most eminent men, if not the most virtuous, have been selected to adorn it.” His implied disparagement of their piety is fully sustained by an examination of their respective biographies, and by a taunt of Horace Walpole, quoted in the same preface. An equal absence of remarkable devotional tendencies may be observed in the lives of the leaders of great political parties. The founders of our great families too often owed their advancement to tricky and time-serving courtiership. The belief so frequently expressed in the Psalms, that the descendants of the righteous shall continue, and that those of the wicked shall surely fail, is not fulfilled in the history of our English peerage. Take for instance the highest class, that of the Ducal houses. The influence of social position in the country is so enormous that the possession of a dukedom is a power that can hardly be understood without some sort of calculation. There are, I believe, only twenty-seven dukes to about eight millions of adult male Englishmen, or about three dukes to each million, yet the cabinet of fourteen ministers which governs this country, and India too, commonly contains one duke, often two, and in recent times three. The political privilege inherited with a dukedom in this country is at the lowest estimate many thousand-fold above the average birth-right of Englishmen. What was the origin of these ducal families whose influence on the destiny of England and her dependencies is so enormous? Were their founders the eminently devout children of eminently pious parents? Have they and their ancestors been distinguished among the praying classes? Not so. I give in a footnote [2] a list of their names, which recalls many a deed of patriotism, valour, and skill, many an instance of’ eminent merit of the worldly sort, which we Englishmen honour six days out of the seven—many scandals, many a disgrace, but not, on the other hand, a single instance {p.132} known to me of eminently prayerful qualities. Four at least of the existing ducal houses are unable to claim the title of having been raised into existence through the devout habits of their progenitors, because the families of Buccleuch, Grafton, St. Albans, and Richmond were thus highly ennobled solely on the ground of their being descended from Charles II. and four of his mistresses, namely, Lucy Walters, Barbara Villiers, Nell Gwynne, and Louise de Querouai1le. The dukedom of Cleveland may almost be reckoned as a fifth instance.

The civil liberty we enjoy in England, and the energy of our race, have given rise to a number of institutions, societies, commercial adventures, political meetings, and combinations of all sorts. Some of these are exclusively clerical, some lay, and others mixed. It is impossible for a person to have taken an active share in social life without having had abundant means of estimating for himself, and of hearing the opinion of others, on the value of’ a preponderating clerical element in business committees. For my own part, I never heard of a favourable one. The procedure of Convocation, which, like all exclusively clerical meetings, is opened with prayer, has not inspired the outer world with much respect. The histories of the great councils of the Church are most painful to read. There is reason to expect that devout and superstitious men should be unreasonable; for a person who believes his thoughts to be inspired, necessarily accredits his prejudices with divine authority. He is therefore little accessible to argument, and he is intolerant of those whose opinions differ from his, especially on first principles. Consequently, he is a bad coadjutor in business matters. It is a common week-day opinion of -the world that praying people are not practical.

Again, there is a large class of instances where an enterprise on behalf of pious people is executed by the agency of the profane. Do such enterprises prosper beyond the average? For instance, a vessel on a missionary errand is navigated by ordinary seamen. A fleet, followed by the prayers of the English nation, carries reinforcements to quell an Indian mutiny. We do not care to ask whether the result of these prayers is to obtain favourable winds, hut simply whether they ensue in a propitious voyage, whatever may have been the agencies by which that result was obtained. The success of voyages might be due to many other agencies than the suspension of the physical laws that control the winds and currents; just as we showed that a rapid recovery from illness might be due to other causes than direct interference with cosmic order. It might have been put into the captain’s heart to navigate in that course and to perform those acts of seamanship which proved links in a chain that led to eventual success. A very small matter would suffice to make a great difference in the end. A vessel navigated by a man who was a good forecaster of weather and an accomplished hydrographer would considerably outstrip another that was deficient in so accomplished a commander, but otherwise similarly {p.133} equipped. The perfectly instructed navigator would deviate from the most direct course by perhaps some mere trifle, first here, then there, order to bring his vessel within favouring slants of wind and advantageous currents. A ship commanded by a captain and steered by a sailors whose hearts were miraculously acted oupon in answer to prayer would unconsciously, as by instinct, or even as it were by mistake, perform these deviations from routine, which would lead to ultimate success.

The missionaries who are the most earnestly prayed for are usually those who sail on routes where there is little traffic, and therefore where there is more opportunity for the effects of secret providential overruling to display themselves than who sail in ordinary sea voyages. In the usual sea routes a great deal is known of the peculiarities of the seasons and currents, and of the whereabouts of hidden dangers of all kinds; their average risk is small, and the insurance is low. But when vessels are bound to ports like those sought by the missionaries the case is different. The risk that at attends their voyages is largely increased, and the insurance proportionately raised. But is the risk equally increased in respect missionary vessels and to those of traders and of slave-dealers? The comparison between the fortune that attends prayerful and non-prayerful people may here be most happily made. The missionaries are eminently among the former category, and the slave-dealers and the traders we speak of in the other. Traders in the unhealthy and barbarous regions to which we refer are notoriously the most godless and reckless (on the broad average) of any of their set. We have, unfortunately, little knowledge of the sea risks of slavers, because the rates of their insurance involve the risk of capture. There is, however, a universal testimony, in the parliamentary reports on slavery, to the excellent and skilful manner in which these vessels are sailed and navigated, which is a reason for believing their sea risks to be small. As to the relative risks run by ordinary traders and missionary vessels, the insurance offices absolutely ignore the slightest difference between them. They look to the class of the vessel, and to the station to which she is bound, and to nothing else. The notion that a missionary or other pious enterprise carries any immunity from danger has never been entertained by insurance companies.

To proceed with our inquiry, whether enterprises on behalf of pious people succeed better than others when they are intrusted to profane hands, we may ask,“Is a bank or other commercial undertaking more secure when devout men are among its shareholders,” or when the funds of pious people, or charities, or of religious bodies are deposited in its keeping, or when its proceedings are opened with prayer, as was the case with the disastrous Royal British Bank? It is impossible to say yes. There are far too many sad experiences of the contrary.

{p.134} If prayerful habits had influence on temporal success, it is very probable, as we must again repeat, that insurance offices, of at least some descriptions, would long ago have discovered and made allowance for it. It would be most unwise, from a business point of view, to allow the devout, supposing their greater longevity even probable, to obtain annuities at the same low rates as the profane. Before insurance offices accept a life, they make confidential inquiries into the antecedents of the applicant. But such a question has never been heard of as, "Does be habitually use family prayers and private devotions?" Insurance offices, so wakeful to sanatory influences, absolutely ignore prayer as one of them. The same is true for insurances of all descriptions as those connected with fire, ships, lightening, hail, accidental death, and cattle sickness. How is it possible to explain why Quakers, who are most devout and most shrewd men of business, have ignored these considerations, except on the ground that they do not really believe in what they and others freely assert about the efficacy of prayer? It was at one time considered an act of mistrust in an overruling Providence to put lightening conductors on churches; for it was said that God would surely take care of his own. But Arago’s collection of the accidents from lightning showed they were sorely needed; and now lightning conductors are universal. Other kinds of accidents befall churches, equally with other buildings of the same class; such as architectural flaws, resulting in great expenses for repair, fires, earthquakes, and avalanches.

The cogency of all these arguments is materially increased by the recollection that many items of ancient faith have been successively abandoned by the Christian world to the domain of recognised superstition. It is not two centuries ago, long subsequent to the days of Shakespeare and other great names, that the sovereign of this country was accustomed to lay hands on the sick for their recovery, under the sanction of a regular Church service, which was not omitted from our prayer-books till the time of George II. Witches were unanimously believed in, and were regularly exorcised, and punished by law, up to the beginning of the last century. Ordeals and duels, most reasonable solutions of complicated difficulties according to the popular theory of religion, were found absolutely fallacious in practice. The miraculous power of relics and images, still so general in Southern Europe, is scouted in England. The importance ascribed to dreams, the barely extinct claims of astrology, and auguries of good or evil luck, and many other well-known products of superstition which are found to exist in every country, have ceased to be believed in by us. This is the natural course of events, just as the Waters of Jealousy and the Urim and Thummin of the Mosaic law had become obsolete in the times of the later Jewish kings. The civilised world has already yielded an enormous amount of honest conviction to the inexorable requirements of solid fact; and it seems to me clear that all belief in the efficacy of prayer, in the sense in {p.135} which I have been considering it, must be yielded also. The evidence I have been able to collect bears wholely and solely in that direction, and in the face of it the onus probandi lies henceforth on the other side.

Nothing that I have said negatives the fact that the mind may be relieved by the utterance of prayer. The impulse to pour out the feelings in sound is not peculiar to man. Any mother that has lost her young, and wanders about moning and looking piteously for sympathy, possesses much of that which prompts men to pray in articulate words. There is a yearning of the heart, a craving for help, it knows not where, certainly from no source that it sees. Of a similar kind is the bitter cry of the hare, when the greyhound is almost upon her; she abandons hope through her own efforts and screams,—but to whom? It is a voice convulsively sent out into space, whose utterance is a physical relief. These feelings of distress and of terror are simple, and an inarticulate cry suffices to give vent to them; but the reason why man is not satisfied by uttering inarticulate cries (though sometimes they are felt to be the most appropriate) is owing to his superior intellectual powers. His memory travels back through interlacing paths, and dwells on various connected incidents; his emotions are complex, and he prays at length.

Neither does anything I have said profess to throw light on the question of how far it is possible for man to commune in his heart with God. We know that many persons of high intellectual gifts and critical minds look upon it as an axiomatic certainty that they possess this power, although it is impossible for them to establish any satisfactory criterion to distinguish between what may really be borne in upon them from without and what arises from within, but which, through a sham of the imagination, appears to be external. A confident sense of communion with God must necessarily rejoice and strengthen the heart, and divert it from petty cares; and it is equally certain that similar benefits are not excluded from those who on conscientious grounds are sceptical as to the reality of a power of communion. These can dwell on the undoubted fact, that there exists a solidarity between themselves and what surrounds them, through the endless reactions of physical laws, among which the hereditary influences are to be included. They know that they are descended from an endless past, that they have a brotherhood with all that is, and have each his own share of responsibility in the parentage of an endless future. The effort to familiarise the imagination with this great idea has much in common with the effort of communing with a God, and its reaction on the mind of the thinker is in many important respects the same. It may not equally rejoice the heart, but it is quite as powerful in ennobling the resolves, and it is found to give serenity during life and in the shadow of approaching death.

This article was provoked by would-be anonymous suggestions by Professor Tyndall in The Contemporary Review. It was followed by several typically Victorian letters couched in various moods of hilarity, cynicism and outrage. This corrrespondence can be found in the latter half of the year edition for 1872, in both The Contemporary Review and The Spectator. Maybe some day, I will find the time to put this correspondence online.

Tyndall was a physicist, particularly interested in heat radiation. He was the first to answer successfully the question, why is the sky blue? He made several other scientific contributions - another interesting fellow.

References are also made to the Pall Mall Gazette, 1865 and 1867, and to an earlier Fortnightly Review, but I have not bothered to track these down.

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On visualising a million

From   Hereditary Genius:
  An Inquiry into its Laws and Consequences
by Francis Galton, 1869

{p.53} These considerations define the sense in which I propose to employ the word ‘eminent.’ When I speak of an eminent man, I mean one who has achieved a position that is attained by only 250 persons in each million of men, or by one person in each 4,000. 4,000 is a very large number—difficult for persons to realise who are not accustomed to deal with great assemblages. On the most brilliant of starlight nights there are never so many as 4,000 stars visible to the naked eye at the same time; yet we feel it to be an extraordinary distinction to a star to be accounted as the brightest in the sky. This, be it remembered, is my narrowest area of selection. I propose to introduce no name whatever into my lists of kinsmen (unless it be marked off from the rest by brackets) that is less distinguished.

The mass of those with whom I deal are far more rigidly selected-many are as one in a million, and not a few as one of many millions. I use the term ‘illustrious’ when speaking of these. They are men whom the whole intelligent part of the nation mourns when they die; who have, or deserve to have, a public funeral; and who rank in future ages as historical characters.

Permit me to add a word upon the meaning of a million, being a number so enormous as to be difficult to conceive. It is well to have a standard by which to realise it. Mine will he understood by many Londoners; it is as follows:-One summer day I passed the afternoon in Bushey Park to see the magnificent spectacle of its avenue of horse-chestnut trees, a mile long, in full flower. As the hours passed by, it occurred to me to try to count the number of spikes of flowers facing the drive on one side of the long avenue— visible in full sunshine on one side of the road.

Chestnut Sunday, Bushy Park, by Herry Perry, published by London Transport, 1935
Chestnut Sunday, Bushy Park, by Herry Perry,
published by London Transport, 1935

{p.54} Accordingly, I fixed upon a tree of average bulk and flower, and drew imaginary lines—first halving the tree, then quartering, and so on, until I arrived at a subdivision that was not too large to allow of my counting the spikes of flowers it included. I did this with three different trees, and arrived at pretty much the same result: as well as I recollect, the three estimates were as nine, ten, and eleven. Then I counted the trees in the avenue, and, multiplying all together, I found the spikes to be just about 100,000 in number. Ever since then, whenever a million is mentioned, I recall the long perspective of the avenue of Bushey Park, with its stately chestnuts clothed from top to bottom with spikes of flowers, bright in the sunshine,and I imagine a similarly continuous floral band, of ten miles in length.

the modern world intrudes - 2012

Horse chestnuts in the avenue at Bushy Park

Unfortunately, in recent years many of the trees are reaching the end of their natural life, estimated to be 350 years. The Bushy Park avenue was planted in 1699. There has also been disease attack in the London area. Bleeding canker [phytophthora and Pseudomonas syringae] has been the bane of the horse chestnut tree for several decades, and other problems are also attacking the trees, including the caterpillar of the leaf miner moth. These problems have resulted in branches dropping off and mass culls of horse chestnut trees in London.

Horse chestnut avenue at Bushey Park

What with the age of the trees, and the long-standing pollution in London, the avenue is now looking pretty ragged. To add to the mess, the idiocracy are now letting cars drive through the park.back to index

Life of Francis Galton

“I thought it better to proceed like the surveyor of a new country”—Galton.

Francis Galton was born on 16th February 1822, near Sparkbrook, Birmingham, Warwickshire, England and died 17th January, 1911 at Grayshott House, Haslemere, Surrey, aged 89. He was ‘knighted’ two years before his death in 1909. Galton was first cousin of, and in wide contact with, Darwin. They each widely influenced the thinking, one of the other. In 1853, Galton married. There were no children of the marriage. He is buried, largely forgotten, at Claverdon in the quiet churchyard in a little-tended grave.

Galton was one of the great 19th century founders of modern science, in particular human science. He was primarily a founder of anthropology, the study of human nature and origins. On all his topics, Galton has something original and interesting to say; and he says it with clarity, brevity, distinction and modesty.

Francis Galton's first anthrometric laboratory at the International Health Exhibition, South Kensington, 1884

His contributions were as a minor explorer in Africa; as developer of statistical methods, especially correlation upon the basis of the Belgian mathematician Quetelet [3]. Galton was the originator of much of the study of meteorology: he discovered and introduced the term anti-cyclone; he laid the beginnings of the study of genetics and laid the ground for fingerprinting. He also engaged in studies of twins, blood transfusions and criminality.

Most of Galton’s publications disclose his predilection for quantifying: an early paper, reproduced here, dealt with a statistical test of the efficacy of prayer. Over a period of 34 years, he concerned himself with improving standards of measurement. His dedication was such that, when on an occasion during his African travels he wished to measure the backside of a Hottentot female and feared that his intentions could be misinterpreted, he used a surveying instrument. Should you be mystified, look up the word “steatopygia”.

Hottentot beauties

Mr. Hahn's household was large. There was an interpreter, and a sub-interpreter, and again others, but all most excellently well-behaved, and showing to great advantage the influence of their master. These servants were chiefly Hottentots, who migrated with Mr. Hahn from Hottentot-land, and, like him, had picked up the language of the Damaras. The sub-interpreter was married to a charming person, not only a Hottentot in figure, but in that respect a Venus among Hottentots. I was perfectly aghast at her development, and made enquiries upon that delicate point as far as I dared among my missionary friends. The result is, that I believe Mrs. Petrus to be the lady who ranks second in all the Hottentots for the beautiful outline that her back affords, Jonker's wife ranking as the first; the latter, was slightly passé, while Mrs. Petrus was in full embonpoint. I, profess to be a scientific man, and was exceedingly anxious to obtain accurate measurements of her shape; but there was a difficulty in doing this. I did not know a word of Hottentot, and could never therefore have explained to the lady what the object of my foot-rule could be; and I really dared not ask my worthy missionary host to interpret for me. I therefore felt in a dilemma as I gazed at her form; that gift of bounteous nature to this favoured race, which no mantua-maker, with all her crinoline and stuffing, can do otherwise than humbly imitate. The object of my admiration stood under a tree, and was turning herself about to all points of the compass, as ladies who wish to be admired usually do. Of a sudden my eye fell upon my sextant; the bright thought struck me, and I took a series of observations upon her figure in every direction, up and down, crossways, diagonally, and so forth, and I registered them carefully upon an outline drawing for fear of any mistake; this being done, I boldly pulled out my measuring tape, and measured the distance from where I was to the place she stood, and having thus obtained both base and angles, I worked out the results by trigonometry and logarithms.

pp87-88, chapter III, Narrative of an Explorer in Tropical South Africa, 1853.


Early anatomists described the ridges of the fingers, but interest in modern fingerprint identification dates from 1880, when the British scientific journal Nature published letters by the Englishmen Henry Faulds and William James Herschel describing the uniqueness and permanence of fingerprints. Their observations were experimentally verified by Galton, who suggested the first elementary system for classifying fingerprints based on grouping the patterns into arches, loops, and whorls. Galton’s system served as the basis for the fingerprint classification systems developed by Sir Edward R. Henry, who later became chief commissioner of the London metropolitan police, and by Juan Vucetich of Argentina. The Galton-Henry system of fingerprint classification, published in June 1900, was officially introduced at Scotland Yard in 1901 and quickly became the basis for its criminal-identification records.back to index

Sothern Africa, showing Kalahari desert

Travels and exploration

Galton decided to investigate a possible opening from the south and west to Lake Ngami, which lies north of the Kalahari Desert, some 550 miles east of Walvis Bay. The expedition, which included two journeys, one northward, the other eastward, from the same base, proved to be difficult and not without danger. Though the explorers did not reach Lake Ngami, they gained valuable information.

[Note: Walvis Bay is called Walfisch Bay on Galton’s 1853 map.]

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1853 map of Francis Galton’s African explorations

Map of Damara Land and the adjacent countries...
Map of Damara Land and the adjacent countries as explored and surveyed by Francis Galton Esq.,
as published in Narrative of an Explorer in Tropical South Africa, 1853
[with his routes shown in red]

Click to go to larger [2.39Mb] version

1853 map of Africa showing the routes of its explorers

Rough Sketch of Africa indicating the progress of recent discoveries
Rough Sketch of Africa indicating the progress of recent discoveries
as published in Narrative of an Explorer in Tropical South Africa, 1853

Click to go to larger [1.14Mb] version


Galton founded ideas of human eugenics on much research into the heritability of intelligence and personality, matters that continue to be controversial. His passion was for eugenics, which has made him currently rather unpopular. Under the terms of his will, a eugenics chair was established at the University of London.

Galton coined the word eugenics to denote scientific endeavours to increase the proportion of persons with better than average genetic endowment through selective mating of marriage partners. In his Hereditary Genius (1869), in which he used the word genius to denote “an ability that was exceptionally high and at the same time inborn”, his main argument was that mental and physical features are equally inherited—a proposition that was not accepted at the time. It is surprising that when Darwin first read this book, he wrote to the author, “You have made a convert of an opponent in one sense for I have always maintained that, excepting fools, men did not differ much in intellect, only in zeal and hard work.” Hereditary Genius doubtless helped Darwin to extend his evolution theory to man. Galton, unmentioned in Origin of Species (1859), is however several times quoted in Darwin’s Descent of Man (1871). Galton’s conviction that mental traits are no less inherited than are physical characteristics was strong enough to shape his personal religious philosophy. “We cannot doubt,” he wrote, “the existence of a great power ready to hand and capable of being directed with vast benefit as soon as we have learned to understand and apply it.” These problems remain under research and discussion to this date. [4]

Galton’s ideas, like those of Darwin, were limited by a lack of an adequate theory of inheritance. The rediscovery of the work of Mendel (who was born in the same year as Galton) came when Galton was nearly 80 years old, too late to affect Galton’s contribution in any significant way. Mendel had approached the problems with the cell in mind, where Galton primarily used a statistical approach.back to index


Main Works by Francis Galton


Narrative of an Explorer in Tropical South Africa, Murray, London.

pbk, Adamant Media Corporation, 2004
ISBN-10: 1402141556
ISBN-13: 978-1402141553
£13.49 [] {advert}

hbk, Kessinger Publishing, 2010
ISBN-10: 1166245675
ISBN-13: 978-1166245672
$16.97 [] {advert}
hbk, Kessinger Publishing, 2009
ISBN-10: 1104961067
ISBN-13: 978-1104961060
£35.68 [] {advert}

Narrative of an Explorer in Tropical South Africa

Narrative of an Explorer in Tropical South Africa


Art of Travel, Murray, London.

pbk, unknown publisher, 2010
ISBN-10: 1770450408
ISBN-13: 978-1770450400

£6.02 [] {advert}

Art of Travel

Hereditary Genius, an Inquiry into its Laws and Consequences, Macmillan, London (2nd ed. 1892).

pbk, Nabu Press, 2010
ISBN-10: 117649581X
ISBN-13: 978-1176495814
$16.97 [] {advert}
£15.99 [] {advert}

hbk, BiblioBazaar, LLC, 2009
ISBN-10: 1113753404
ISBN-13: 978-1113753403
$36.99 [] {advert}
£19.94 [] {advert}

Hereditary Genius, an Inquiry into its Laws and Consequences

Hereditary Genius, an Inquiry into its Laws and Consequences


English Men of Science: their Nature and Nurture, Macmillan, London

pbk, Forgotten Books, 2010
ISBN-10: 1451003048
ISBN-13: 978-1451003048
$9.48 [] {advert}
£7.11[] {advert}

hbk, BiblioLife, 2009
ISBN-10: 1103246585
ISBN-13: 978-1103246588
$28.99 [] {advert}
£17.09 [] {advert}

English Men of Science: their Nature and Nurture

English Men of Science: their Nature and Nurture


Inquiries into Human Faculty and its Development, Macmillan, London (and Dent, 1951).

pbk, Kessinger Publishing, LLC, 2010
ISBN-10: 1162636734
ISBN-13: 978-1162636733
$23.16 [] {advert}
pbk, Adamant Media Corporation, 2000
ISBN-10: 140218512X
ISBN-13: 978-1402185120
£12.99 [] {advert}

hbk, BiblioLife, 2009
ISBN-10: 0559073402
ISBN-13: 978-0559073403
$32.99 [] {advert}
£18.99 [] {advert}

Inquiries into Human Faculty and its Development
Inquiries into Human Faculty and its Development

Inquiries into Human Faculty and its Development


Natural Inheritance, Macmillan, London.

pbk, BiblioBazaar, 2009
ISBN-10: 1103215302
ISBN-13: 978-1103215300
$21.99 [] {advert}
£15.31 [] {advert}

hbk, BiblioLife, 2009
ISBN-10: 1103215361
ISBN-13: 978-1103215362
$30.99 [] {advert}
£18.04 [] {advert}

Natural Inheritance

Finger Prints, Macmillan, London.

pbk, Dover Publications Inc., 2005
ISBN-10: 0486439305
ISBN-13: 978-0486439303
£12.59 [] {advert}
$11.66 [] {advert}

Kindle Edition
File Size: 277 KB
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Finger Prints

Finger Prints


Noteworthy Families (with B. Schuster), Murray, London.

pbk, BiblioBazaar, 2009
ISBN-10: 0559054033
ISBN-13: 978-0559054037
£5.90 [] {advert}
$9.90 [] {advert}

hbk, BiblioLife, 2009
ISBN-10: 0559054238
ISBN-13: 978-0559054235
£6.14 [] {advert}
$24.99 [] {advert}

Noteworthy Families

1908 Memories of My Life, Methuen, London.

Besides these books Galton wrote some 200 papers. Galton’s Inquiries into Human Faculty (see above) consists of some 40 articles varying in length from 2 to 30 pages, which are mostly based on scientific papers written between 1869 and 1883. The book can, in a sense, be regarded as a summary of the author’s views on the faculties of man.

Books on Francis Galton

The most important work on Galton is the monumental labour of love by another statistician,
Karl Pearson, The Life, Letters, and Labours of Francis Galton,
3 volumes bound as 4 (C.U.P., 1914-30).
A shorter treatment is found in D.W. Forrest, Francis Galton (1974).

The following is listed in catalogues

Milo Keynes, Sir Francis Galton, FRS,1993, Macmillan Press Ltd; ISBN: 0333546954, £52.50 HB

Further related reading

Intelligence: misuse and abuse of statistics
Is Intelligence Distributed Normally? By Cyril Burt, 1963
the anthropic principle, or what if the universe was not the way it is

End notes

1 The eminent men are those whose lives are recorded in Chalmers’s Biography, with some additions from the Annual Register.
2 Abercorn, Argyll, Athole, Beaufort, Bedford, Buccleuch, Buckingham, Cleveland, Devonshire, Grafton, Hamilton, Leeds , Leinster, Manchestor, Marlborough, Montrose, Newcastle, Norfolk, Northumberland, Portland, Richmond, Roxburghe, Rutland, St. Albans, Somerset, Sutherland, Wellington.

Quetelet, (Lambert) Adolphe (Jacques), 1796 – 1874, Belgian mathematician, astronomer, statistician and sociologist known for his application of statistics and the theory of probability to social phenomena.

In Sur l’homme (1835; A Treatise on Man and the Development of His Faculties, 1842), republished in 1869 as Physique sociale, he presented his conception of the homme moyen (‘average man’) as the central value about which measurements of a human trait are grouped according to the normal probability curve. His studies of the numerical constancy of such presumably voluntary acts as crimes stimulated extensive studies in ‘moral statistics’ and wide discussion of free will versus social determinism.

In trying to discover through statistics the causes of acts in society, Quetelet conceived of the relative penchant (propensity; e.g., to crime) of specific age groups. This idea, like his homme moyen, evoked great controversy among social scientists in the 19th century.


For more on this subject see franchise by examination, education and intelligence on this site
R. Plomin et al., Behavioural Genetics (1997, 3rd ed, New York, W. H. Freeman,

This book is by far the best I know of on this subject. It is both accurate and contains considerable information. Unfortunately, it is not extremely well organised or elegantly written, but it is adequate in these departments. back to index

$99.40 [] {advert}

ISBN-10: 0716728249
ISBN-13: 978-0716728245

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