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To prove this point, he quotes Aristotle, Hippocrates, Dr Short, Dr Gregory, Dr Perceval, M. Villermi, Lord Bacon, and Rousseau. We will not dispute about it; for it seems quite clear to us that if he succeeds in establishing it he overturns his own theory. If men breed in proportion to their poverty, as he tells us here,—and at the same time breed in inverse proportion to their numbers, as he told us before,—it necessarily follows that the poverty of men must be in inverse proportion to their numbers. Inverse proportion, indeed, as we have shown, is not the phrase which expresses Mr Sadler's meaning. To speak more correctly, it follows, from his own positions, that, if one population be thinner than another, it will also be poorer. Is this the fact? Mr Sadler tells us, in one of those tables which we have already quoted, that in the United States the population is four to a square mile, and the fecundity 5.22 to a marriage, and that in Russia the population is twenty-three to a square mile, and the fecundity 4.94 to a marriage. Is the North American labourer poorer than the Russian boor? If not, what becomes of Mr Sadler's argument?

The most decisive proof of Mr Sadler's theory, according to him, is that which he has kept for the last. It is derived from the registers of the English Peerage. The peers, he says, and says truly, are the class with respect to whom we possess the most accurate statistical information.

"Touching their NUMBER, this has been accurately known and recorded ever since the order has existed in the country. For several centuries past, the addition to it of a single individual has been a matter of public interest and notoriety: this hereditary honour conferring not personal dignity merely, but important privileges, and being almost always identified with great wealth and influence. The records relating to it are kept with the most scrupulous attention, not only by heirs and expectants, but they are appealed to by more distant connections, as conferring distinction on all who can claim such affinity. Hence there are few disputes concerning successions to this rank, but such as go back to very remote periods. In later times, the marriages, births, and deaths, of the nobility, have not only been registered by and known to those personally interested, but have been published periodically, and, consequently, subject to perpetual correction and revision; while many of the most powerful motives which can influence the human mind conspire to preserve these records from the slightest falsification. Compared with these, therefore, all other registers, or reports, whether of sworn searchers or others, are incorrectness itself."

Mr Sadler goes on to tell us that the peers are a marrying class, and that their general longevity proves them to be a healthy class. Still peerages often become extinct;—and from this fact he infers that they are a sterile class. So far, says he, from increasing in geometrical progression, they do not even keep up their numbers. "Nature interdicts their increase."

"Thus," says he, "in all ages of the world, and in every nation of it, have the highest ranks of the community been the most sterile, and the lowest the most prolific. As it respects our own country, from the lowest grade of society, the Irish peasant, to the highest, the British peer, this remains a conspicuous truth; and the regulation of the degree of fecundity conformably to this principle, through the intermediate gradations of society, constitutes one of the features of the system developed in these pages."

We take the issue which Mr Sadler has himself offered. We agree with him, that the registers of the English Peerage are of far higher authority than any other statistical documents. We are content that by those registers his principle should be judged. And we meet him by positively denying his facts. We assert that the English nobles are not only not a sterile, but an eminently prolific, part of the community. Mr Sadler concludes that they are sterile, merely because peerages often become extinct. Is this the proper way of ascertaining the point? Is it thus that he avails himself of those registers on the accuracy and fulness of which he descants so largely? Surely his right course would have been to count the marriages, and the number of births in the Peerage. This he has not done;—but we have done it. And what is the result?

It appears from the last edition of Debrett's "Peerage", published in 1828, that there were at that time 287 peers of the United Kingdom, who had been married once or oftener. The whole number of marriages contracted by these 287 peers was 333. The number of children by these marriages was 1437,—more than five to a peer,—more than 4.3 to a marriage,—more, that is to say, than the average number in those counties of England in which, according to Mr Sadler's own statement, the fecundity is the greatest.

But this is not all. These marriages had not, in 1828, produced their full effect. Some of them had been very lately contracted. In a very large proportion of them there was every probability of additional issue. To allow for this probability, we may safely add one to the average which we have already obtained, and rate the fecundity of a noble marriage in England at 5.3;—higher than the fecundity which Mr Sadler assigns to the people of the United States. Even if we do not make this allowance, the average fecundity of marriages of peers is higher by one-fifth than the average fecundity of marriages throughout the kingdom. And this is the sterile class! This is the class which "Nature has interdicted from increasing!" The evidence to which Mr Sadler has himself appealed proves that his principle is false,—utterly false,—wildly and extravagantly false. It proves that a class, living during half of every year in the most crowded population in the world, breeds faster than those who live in the country;—that the class which enjoys the greatest degree of luxury and ease breeds faster than the class which undergoes labour and privation. To talk a little in Mr Sadler's style, we must own that we are ourselves surprised at the results which our examination of the peerage has brought out. We certainly should have thought that the habits of fashionable life, and long residence even in the most airy parts of so great a city as London, would have been more unfavourable to the fecundity of the higher orders than they appear to be.

Peerages, it is true, often become extinct. But it is quite clear, from what we have stated, that this is not because peeresses are barren. There is no difficulty in discovering what the causes really are. In the first place, most of the titles of our nobles are limited to heirs male; so that, though the average fecundity of a noble marriage is upwards of five, yet, for the purpose of keeping up a peerage, it cannot be reckoned at much more than two and a half. Secondly, though the peers are, as Mr Sadler says, a marrying class, the younger sons of peers are decidedly not a marrying class; so that a peer, though he has at least as great a chance of having a son as his neighbours, has less chance than they of having a collateral heir.

We have now disposed, we think, of Mr Sadler's principle of population. Our readers must, by this time, be pretty well satisfied as to his qualifications for setting up theories of his own. We will, therefore, present them with a few instances of the skill and fairness which he shows when he undertakes to pull down the theories of other men. The doctrine of Mr Malthus, that population, if not checked by want, by vice, by excessive mortality, or by the prudent self-denial of individuals, would increase in a geometric progression, is, in Mr Sadler's opinion, at once false and atrocious.

"It may at once be denied," says he, "that human increase proceeds geometrically; and for this simple but decisive reason, that the existence of a geometrical ratio of increase in the works of nature is neither true nor possible. It would fling into utter confusion all order, time, magnitude, and space."

This is as curious a specimen of reasoning as any that has been offered to the world since the days when theories were founded on the principle that nature abhors a vacuum. We proceed a few pages further, however; and we then find that geometric progression is unnatural only in those cases in which Mr Malthus conceives that it exists; and that, in all cases in which Mr Malthus denies the existence of a geometric ratio, nature changes sides, and adopts that ratio as the rule of increase.

Mr Malthus holds that subsistence will increase only in an arithmetical ratio. "As far as nature has to do with the question," says Mr Sadler, "men might, for instance, plant twice the number of peas, and breed from a double number of the same animals, with equal prospect of their multiplication." Now, if Mr Sadler thinks that, as far as nature is concerned, four sheep will double as fast as two, and eight as fast as four, how can he deny that the geometrical ratio of increase does exist in the works of nature? Or has he a definition of his own for geometrical progression, as well as for inverse proportion?

Mr Malthus, and those who agree with him, have generally referred to the United States, as a country in which the human race increases in a geometrical ratio, and have fixed on thirty-five years as the term in which the population of that country doubles itself. Mr Sadler contends that it is physically impossible for a people to double in twenty-five years; nay, that thirty-five years is far too short a period,—that the Americans do not double by procreation in less than forty-seven years,—and that the rapid increase of their numbers is produced by emigration from Europe.

Emigration has certainly had some effect in increasing the population of the United States. But so great has the rate of that increase been that, after making full allowance for the effect of emigration, there will be a residue, attributable to procreation alone, amply sufficient to double the population in twenty-five years.

Mr Sadler states the results of the four censuses as follows:—

"There were, of white inhabitants, in the whole of the United States in 1790, 3,093,111; in 1800, 4,309,656; in 1810, 5,862,093; and in 1820, 7,861,710. The increase, in the first term, being 39 per cent.; that in the second, 36 per cent.; and that in the third and last, 33 per cent. It is superfluous to say, that it is utterly impossible to deduce the geometric theory of human increase, whatever be the period of duplication, from such terms as these."

Mr Sadler is a bad arithmetician. The increase in the last term is not as he states it, 33 per cent., but more than 34 per cent. Now, an increase of 32 per cent. in ten years, is more than sufficient to double the population in twenty-five years. And there is, we think, very strong reason to believe that the white population of the United States does increase by 32 per cent. every ten years.

Our reason is this. There is in the United States a class of persons whose numbers are not increased by emigration,—the negro slaves. During the interval which elapsed between the census of 1810 and the census of 1820, the change in their numbers must have been produced by procreation, and by procreation alone. Their situation, though much happier than that of the wretched beings who cultivate the sugar plantations of Trinidad and Demerara, cannot be supposed to be more favourable to health and fecundity than that of free labourers. In 1810, the slave-trade had been but recently abolished; and there were in consequence many more male than female slaves,—a circumstance, of course, very unfavourable to procreation. Slaves are perpetually passing into the class of freemen; but no freeman ever descends into servitude; so that the census will not exhibit the whole effect of the procreation which really takes place.

We find, by the census of 1810, that the number of slaves in the Union was then 1,191,000. In 1820, they had increased to 1,538,000. That is to say, in ten years, they had increased 29 per cent.—within three per cent. of that rate of increase which would double their numbers in twenty-five years. We may, we think, fairly calculate that, if the female slaves had been as numerous as the males, and if no manumissions had taken place, the census of the slave population would have exhibited an increase of 32 per cent. in ten years.

If we are right in fixing on 32 per cent. as the rate at which the white population of America increases by procreation in ten years, it will follow that, during the last ten years of the eighteenth century, nearly one-sixth of the increase was the effect of emigration; from 1800 to 1810, about one-ninth; and from 1810 to 1820, about one-seventeenth. This is what we should have expected; for it is clear that, unless the number of emigrants be constantly increasing, it must, as compared with the resident population, be relatively decreasing. The number of persons added to the population of the United States by emigration, between 1810 and 1820, would be nearly 120,000. From the data furnished by Mr Sadler himself, we should be inclined to think that this would be a fair estimate.

"Dr Seybert says, that the passengers to ten of the principal ports of the United States, in the year 1817, amounted to 22,235; of whom 11,977 were from Great Britain and Ireland; 4164 from Germany and Holland; 1245 from France; 58 from Italy, 2901 from the British possessions in North America; 1569 from the West Indies; and from all other countries, 321. These, however, we may conclude, with the editor of Styles's Register, were far short of the number that arrived."

We have not the honour of knowing either Dr Seybert or the editor of Styles's Register. We cannot, therefore, decide on their respective claims to our confidence so peremptorily as Mr Sadler thinks fit to do. Nor can we agree to what Mr Sadler very gravely assigns as a reason for disbelieving Dr Seyberts's testimony. "Such accounts," he says, "if not wilfully exaggerated, must always fall short of the truth." It would be a curious question of casuistry to determine what a man ought to do in a case in which he cannot tell the truth except by being guilty of wilful exaggeration. We will, however, suppose, with Mr Sadler, that Dr Seybert, finding himself compelled to choose between two sins, preferred telling a falsehood to exaggerating; and that he has consequently underrated the number of emigrants. We will take it at double of the Doctor's estimate, and suppose that, in 1817, 45,000 Europeans crossed to the United States. Now, it must be remembered that the year 1817 was a year of the severest and most general distress all over Europe,—a year of scarcity everywhere, and of cruel famine in some places. There can, therefore, be no doubt that the emigration of 1817 was very far above the average, probably more than three times that of an ordinary year. Till the year 1815, the war rendered it almost impossible to emigrate to the United States either from England or from the Continent. If we suppose the average emigration of the remaining years to have been 16,000, we shall probably not be much mistaken. In 1818 and 1819, the number was certainly much beyond that average; in 1815 and 1816, probably much below it. But, even if we were to suppose that, in every year from the peace to 1820, the number of emigrants had been as high as we have supposed it to be in 1817, the increase by procreation among the white inhabitants of the United States would still appear to be about 30 per cent. in ten years.

Mr Sadler acknowledges that Cobbett exaggerates the number of emigrants when he states it at 150,000 a year. Yet even this estimate, absurdly great as it is, would not be sufficient to explain the increase of the population of the United States on Mr Sadler's principles. He is, he tells us, "convinced that doubling in 35 years is a far more rapid duplication than ever has taken place in that country from procreation only." An increase of 20 per cent. in ten years, by procreation, would therefore be the very utmost that he would allow to be possible. We have already shown, by reference to the census of the slave population, that this doctrine is quite absurd. And, if we suppose it to be sound, we shall be driven to the conclusion that above eight hundred thousand people emigrated from Europe to the United States in a space of little more than five years. The whole increase of the white population from 1810 to 1820 was within a few hundreds of 2,000,000. If we are to attribute to procreation only 20 per cent. on the number returned by the census of 1810, we shall have about 830,000 persons to account for in some other way;—and to suppose that the emigrants who went to America between the peace of 1815 and the census of 1820, with the children who were born to them there, would make up that number, would be the height of absurdity.

We could say much more; but we think it quite unnecessary at present. We have shown that Mr Sadler is careless in the collection of facts,—that he is incapable of reasoning on facts when he has collected them,—that he does not understand the simplest terms of science,—that he has enounced a proposition of which he does not know the meaning,—that the proposition which he means to enounce, and which he tries to prove, leads directly to all those consequences which he represents as impious and immoral,—and that, from the very documents to which he has himself appealed, it may be demonstrated that his theory is false. We may, perhaps, resume the subject when his next volume appears. Meanwhile, we hope that he will delay its publication until he has learned a little arithmetic, and unlearned a great deal of eloquence.

SADLER'S REFUTATION REFUTED. (January 1831.)

"A Refutation of an Article in the Edinburgh Review (No. CII.) entitled, 'Sadler's Law of Population, and disproof of Human Superfecundity;' containing also Additional Proofs of the Principle enunciated in that Treatise, founded on the Censuses of different Countries recently published."  By Michael Thomas Sadler, M.P.  8vo.  London:  1830.

"Before anything came out against my Essay, I was told I must prepare myself for a storm coming against it, it being resolved by some men that it was necessary that book of mine should, as it is phrased, be run down."—John Locke.

We have, in violation of our usual practice, transcribed Mr Sadler's title-page from top to bottom, motto and all. The parallel implied between the Essay on the Human Understanding and the Essay on Superfecundity is exquisitely laughable. We can match it, however, with mottoes as ludicrous. We remember to have heard of a dramatic piece, entitled "News from Camperdown," written soon after Lord Duncan's victory, by a man once as much in his own good graces as Mr Sadler is, and now as much forgotten as Mr Sadler will soon be, Robert Heron. His piece was brought upon the stage, and damned, "as it is phrased," in the second act; but the author, thinking that it had been unfairly and unjustly "run down," published it, in order to put his critics to shame, with this motto from Swift: "When a true genius appears in the world, you may know him by this mark—that the dunces are all in confederacy against him." We remember another anecdote, which may perhaps be acceptable to so zealous a churchman as Mr Sadler. A certain Antinomian preacher, the oracle of a barn, in a county of which we do not think it proper to mention the name, finding that divinity was not by itself a sufficiently lucrative profession, resolved to combine with it that of dog-stealing. He was, by ill-fortune, detected in several offences of this description, and was in consequence brought before two justices, who, in virtue of the powers given them by an act of parliament, sentenced him to a whipping for each theft. The degrading punishment inflicted on the pastor naturally thinned the flock; and the poor man was in danger of wanting bread. He accordingly put forth a handbill solemnly protesting his innocence, describing his sufferings, and appealing to the Christian charity of the public; and to his pathetic address he prefixed this most appropriate text: "Thrice was I beaten with rods.—St Paul's Epistle to the Corinthians." He did not perceive that, though St Paul had been scourged, no number of whippings, however severe, will of themselves entitle a man to be considered as an apostle. Mr Sadler seems to us to have fallen into a somewhat similar error. He should remember that, though Locke may have been laughed at, so has Sir Claudius Hunter; and that it takes something more than the laughter of all the world to make a Locke.

The body of this pamphlet by no means justifies the parallel so modestly insinuated on the title-page. Yet we must own that, though Mr Sadler has not risen to the level of Locke, he has done what was almost as difficult, if not as honourable—he has fallen below his own. He is at best a bad writer. His arrangement is an elaborate confusion. His style has been constructed, with great care, in such a manner as to produce the least possible effect by means of the greatest possible number of words. Aspiring to the exalted character of a Christian philosopher, he can never preserve through a single paragraph either the calmness of a philosopher or the meekness of a Christian. His ill-nature would make a very little wit formidable. But, happily, his efforts to wound resemble those of a juggler's snake. The bags of poison are full, but the fang is wanting. In this foolish pamphlet, all the unpleasant peculiarities of his style and temper are brought out in the strongest manner. He is from the beginning to the end in a paroxysm of rage, and would certainly do us some mischief if he knew how. We will give a single instance for the present. Others will present themselves as we proceed. We laughed at some doggerel verses which he cited, and which we, never having seen them before, suspected to be his own. We are now sure that if the principle on which Solomon decided a famous case of filiation were correct, there can be no doubt as to the justice of our suspicion. Mr Sadler, who, whatever elements of the poetical character he may lack, possesses the poetical irritability in an abundance which might have sufficed for Homer himself, resolved to retaliate on the person, who, as he supposed, had reviewed him. He has, accordingly, ransacked some collection of college verses, in the hope of finding, among the performances of his supposed antagonist, something as bad as his own. And we must in fairness admit that he has succeeded pretty well. We must admit that the gentleman in question sometimes put into his exercises, at seventeen, almost as great nonsense as Mr Sadler is in the habit of putting into his books at sixty.

Mr Sadler complains that we have devoted whole pages to mere abuse of him. We deny the charge. We have, indeed, characterised, in terms of just reprehension, that spirit which shows itself in every part of his prolix work. Those terms of reprehension we are by no means inclined to retract; and we conceive that we might have used much stronger expressions, without the least offence either to truth or to decorum. There is a limit prescribed to us by our sense of what is due to ourselves. But we think that no indulgence is due to Mr Sadler. A writer who distinctly announces that he has not conformed to the candour of the age—who makes it his boast that he expresses himself throughout with the greatest plainness and freedom—and whose constant practice proves that by plainness and freedom he means coarseness and rancour—has no right to expect that others shall remember courtesies which he has forgotten, or shall respect one who has ceased to respect himself.

Mr Sadler declares that he has never vilified Mr Malthus personally, and has confined himself to attacking the doctrines which that gentleman maintains. We should wish to leave that point to the decision of all who have read Mr Sadler's book, or any twenty pages of it. To quote particular instances of a temper which penetrates and inspires the whole work, is to weaken our charge. Yet, that we may not be suspected of flinching, we will give two specimens,—the two first which occur to our recollection. "Whose minister is it that speaks thus?" says Mr Sadler, after misrepresenting in a most extraordinary manner, though, we are willing to believe, unintentionally, one of the positions of Mr Malthus. "Whose minister is it that speaks thus? That of the lover and avenger of little children?" Again, Mr Malthus recommends, erroneously perhaps, but assuredly from humane motives, that alms, when given, should be given very sparingly. Mr Sadler quotes the recommendation, and adds the following courteous comment:—"The tender mercies of the wicked are cruel." We cannot think that a writer who indulges in these indecent and unjust attacks on professional and personal character has any right to complain of our sarcasms on his metaphors and rhymes.

We will now proceed to examine the reply which Mr Sadler has thought fit to make to our arguments. He begins by attacking our remarks on the origin of evil. They are, says he, too profound for common apprehension; and he hopes that they are too profound for our own. That they seem profound to him we can well believe. Profundity, in its secondary as in its primary sense, is a relative term. When Grildrig was nearly drowned in the Brobdingnagian cream-jug he doubtless thought it very deep. But to common apprehension our reasoning would, we are persuaded, appear perfectly simple.

The theory of Mr Malthus, says Mr Sadler, cannot be true, because it asserts the existence of a great and terrible evil, and is therefore inconsistent with the goodness of God. We answer thus. We know that there are in the world great and terrible evils. In spite of these evils, we believe in the goodness of God. Why may we not then continue to believe in his goodness, though another evil should be added to the list?

How does Mr Sadler answer this? Merely by telling us, that we are too wicked to be reasoned with. He completely shrinks from the question; a question, be it remembered, not raised by us—a question which we should have felt strong objections to raising unnecessarily—a question put forward by himself, as intimately connected with the subject of his two ponderous volumes. He attempts to carp at detached parts of our reasoning on the subject. With what success he carries on this guerilla war after declining a general action with the main body of our argument our readers shall see.

"The Reviewer sends me to Paley, who is, I confess, rather more intelligible on the subject, and who, fortunately, has decided the very point in dispute. I will first give the words of the Reviewer, who, when speaking of my general argument regarding the magnitude of the evils, moral and physical, implied in the theory I oppose, sums up his ideas thus:—'Mr Sadler says, that it is not a light or transient evil, but a great and permanent evil. What then? The question of the origin of evil is a question of aye or no,—not a question of MORE or LESS.' But what says Paley? His express rule is this, that 'when we cannot resolve all appearances into benevolence of design, we make the FEW give place to the MANY, the LITTLE to the GREAT; that we take our judgment from a large and decided preponderancy.' Now in weighing these two authorities, directly at issue on this point, I think there will be little trouble in determining which we shall make 'to give place;' or, if we 'look to a large and decided preponderancy' of either talent, learning, or benevolence, from whom we shall 'take our judgment.' The effrontery, or, to speak more charitably, the ignorance of a reference to Paley on this subject, and in this instance, is really marvellous."

Now, does not Mr Sadler see that the very words which he quotes from Paley contain in themselves a refutation of his whole argument? Paley says, indeed, as every man in his senses would say, that in a certain case, which he has specified, the more and the less come into question. But in what case? "When we CANNOT resolve all appearances into the benevolence of design." It is better that there should be a little evil than a great deal of evil. This is self-evident. But it is also self-evident, that no evil is better than a little evil. Why, then, is there any evil? It is a mystery which we cannot solve. It is a mystery which Paley, by the very words which Mr Sadler has quoted, acknowledges himself unable to solve; and it is because he cannot solve that mystery that he proceeds to take into consideration the more and the less. Believing in the divine goodness, we must necessarily believe that the evils which exist are necessary to avert greater evils. But what those greater evils are, we do not know. How the happiness of any part of the sentient creation would be in any respect diminished if, for example, children cut their teeth without pain, we cannot understand. The case is exactly the same with the principle of Mr Malthus. If superfecundity exists, it exists, no doubt, because it is a less evil than some other evil which otherwise would exist. Can Mr Sadler prove that this is an impossibility?

One single expression which Mr Sadler employs on this subject is sufficient to show how utterly incompetent he is to discuss it. "On the Christian hypothesis," says he, "no doubt exists as to the origin of evil." He does not, we think, understand what is meant by the origin of evil. The Christian Scriptures profess to give no solution of that mystery. They relate facts: but they leave the metaphysical question undetermined. They tell us that man fell; but why he was not so constituted as to be incapable of falling, or why the Supreme Being has not mitigated the consequences of the Fall more than they actually have been mitigated, the Scriptures did not tell us, and, it may without presumption be said, could not tell us, unless we had been creatures different from what we are. There is something, either in the nature of our faculties or in the nature of the machinery employed by us for the purpose of reasoning, which condemns us, on this and similar subjects, to hopeless ignorance. Man can understand these high matters only by ceasing to be man, just as a fly can understand a lemma of Newton only by ceasing to be a fly. To make it an objection to the Christian system that it gives us no solution of these difficulties, is to make it an objection to the Christian system that it is a system formed for human beings. Of the puzzles of the Academy, there is not one which does not apply as strongly to Deism as to Christianity, and to Atheism as to Deism. There are difficulties in everything. Yet we are sure that something must be true.