Miscellaneous Writings and Speeches - Volume 2 by Thomas Babington Macaulay (big screen ebook reader txt) 📖
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he gives, at 107,644 143923/1000000 English square feet, or 2 471169/1000000 acres. The last French "Annuaires", however, state it, I perceive, as being equal to 2 473614/1000000 acres. The difference is very trifling, and will not in the slightest degree cover our critic's error. The first calculation gives about 258 83/100 hectares to an English square mile; the second, 258 73/100; the last, or French calculation 258 98/100. When, therefore, the Reviewer calculates the population of the departments of France thus: 'from one to two hectares to each inhabitant, that is to say, in which the population is from 125 to 250, or rather more, to the square mile; his 'that is to say,' is that which he ought not to have said-no rare case with him, as we shall show throughout."
We must inform Mr Sadler, in the first place, that we inserted the vowel which amuses him so much, not from ignorance or from carelessness, but advisedly, and in conformity with the practice of several respectable writers. He will find the word hecatare in Ree's Cyclopaedia. He will find it also in Dr Young. We prefer the form which we have employed, because it is etymologically correct. Mr Sadler seems not to know that a hecatare is so-called, because it contains a hundred ares.
We were perfectly acquainted with the extent as well as with the name of a hecatare. Is it at all strange that we should use the words "250, or rather more," in speaking of 258 and a fraction? Do not people constantly employ round numbers with still greater looseness, in translating foreign distances and foreign money? If indeed, as Mr Sadler says, the difference which he chooses to call an error involved the entire argument, or any part of the argument, we should have been guilty of gross unfairness. But it is not so. The difference between 258 and 250, as even Mr Sadler would see if he were not blind with fury, was a difference to his advantage. Our point was this. The fecundity of a dense population in certain departments of France is greater than that of a thinly scattered population in certain counties of England. The more dense, therefore, the population in those departments of France, the stronger was our case. By putting 250, instead of 258, we understated our case. Mr Sadler's correction of our orthography leads us to suspect that he knows very little of Greek; and his correction of our calculation quite satisfies us that he knows very little of logic.
But, to come to the gist of the controversy. Our argument, drawn from Mr Sadler's own tables, remains absolutely untouched. He makes excuses indeed; for an excuse is the last thing that Mr Sadler will ever want. There is something half laughable and half provoking in the facility with which he asserts and retracts, says and unsays, exactly as suits his argument. Sometimes the register of baptisms is imperfect, and sometimes the register of burials. Then again these registers become all at once exact almost to an unit. He brings forward a census of Prussia in proof of his theory. We show that it directly confutes his theory; and it forthwith becomes "notoriously and grossly defective." The census of the Netherlands is not to be easily dealt with; and the census of the Netherlands is therefore pronounced inaccurate. In his book on the Law of Population, he tells us that "in the slave-holding States of America, the male slaves constitute a decided majority of that unfortunate class." This fact we turned against him; and, forgetting that he had himself stated it, he tells us that "it is as erroneous as many other ideas which we entertain," and that "he will venture to assert that the female slaves were, at the nubile age, as numerous as the males." The increase of the negroes in the United States puzzles him; and he creates a vast slave-trade to solve it. He confounds together things perfectly different; the slave-trade carried on under the American flag, and the slave- trade carried on for the supply of the American soil,-the slave- trade with Africa, and the internal slave-trade between the different States. He exaggerates a few occasional acts of smuggling into an immense and regular importation, and makes his escape as well as he can under cover of this hubbub of words. Documents are authentic and facts true precisely in proportion to the support which they afford to his theory. This is one way, undoubtedly, of making books; but we question much whether it be the way to make discoveries.
As to the inconsistencies which we pointed out between his theory and his own tables, he finds no difficulty in explaining them away or facing them out. In one case there would have been no contradiction if, instead of taking one of his tables, we had multiplied the number of three tables together, and taken the average. Another would never have existed if there had not been a great migration of people into Lancashire. Another is not to be got over by any device. But then it is very small, and of no consequence to the argument.
Here, indeed, he is perhaps right. The inconsistencies which we noticed, were, in themselves, of little moment. We give them as samples,-as mere hints, to caution those of our readers who might also happen to be readers of Mr Sadler against being deceived by his packing. He complains of the word packing. We repeat it; and, since he has defied us to the proof, we will go fully into the question which, in our last article, we only glanced at, and prove, in such a manner as shall not leave even to Mr Sadler any shadow of excuse, that his theory owes its speciousness to packing, and to packing alone.
That our readers may fully understand our reasoning, we will again state what Mr Sadler's proposition is. He asserts that, on a given space, the number of children to a marriage becomes less and less as the population becomes more and more numerous.
We will begin with the census of France given by Mr Sadler. By joining the departments together in combinations which suit his purpose, he has contrived to produce three tables, which he presents as decisive proofs of his theory.
The first is as follows:-
"The legitimate births are, in those departments where there are to each inhabitant-
Hectares Departments To every 1000 marriages
4 to 5 2 130 3 to 4 3 4372 2 to 3 30 4250 1 to 2 44 4234
.06 to 1 5 4146
.06 1 2657
The two other computations he has given in one table. We subjoin it.
Hect. to each Number of Legit. Births to Legit. Births to Inhabitant Departments 100 Marriages 100 Mar. (1826)
4 to 5 2 497 397 3 to 4 3 439 389 2 to 3 30 424 379 1 to 2 44 420 375 under 1 5 415 372 and .06 1 263 253
These tables, as we said in our former article, certainly look well for Mr Sadler's theory. "Do they?" says he. "Assuredly they do; and in admitting this, the Reviewer has admitted the theory to be proved." We cannot absolutely agree to this. A theory is not proved, we must tell Mr Sadler, merely because the evidence in its favour looks well at first sight. There is an old proverb, very homely in expression, but well deserving to be had in constant remembrance by all men, engaged either in action or in speculation-"One story is good till another is told!"
We affirm, then, that the results which these tables present, and which seem so favourable to Mr Sadler's theory, are produced by packing, and by packing alone.
In the first place, if we look at the departments singly, the whole is in disorder. About the department in which Paris is situated there is no dispute: Mr Malthus distinctly admits that great cities prevent propagation. There remain eighty-four departments; and of these there is not, we believe, a single one in the place which, according to Mr Sadler's principle, it ought to occupy.
That which ought to be highest in fecundity is tenth in one table, fourteenth in another, and only thirty-first according to the third. That which ought to be third is twenty-second by the table, which places it highest. That which ought to be fourth is fortieth by the table, which places it highest. That which ought to be eighth is fiftieth or sixtieth. That which ought to be tenth from the top is at about the same distance from the bottom. On the other hand, that which, according to Mr Sadler's principle, ought to be last but two of all the eighty-four is third in two of the tables, and seventh in that which places it lowest; and that which ought to be last is, in one of Mr Sadler's tables, above that which ought to be first, in two of them, above that which ought to be third, and,
We must inform Mr Sadler, in the first place, that we inserted the vowel which amuses him so much, not from ignorance or from carelessness, but advisedly, and in conformity with the practice of several respectable writers. He will find the word hecatare in Ree's Cyclopaedia. He will find it also in Dr Young. We prefer the form which we have employed, because it is etymologically correct. Mr Sadler seems not to know that a hecatare is so-called, because it contains a hundred ares.
We were perfectly acquainted with the extent as well as with the name of a hecatare. Is it at all strange that we should use the words "250, or rather more," in speaking of 258 and a fraction? Do not people constantly employ round numbers with still greater looseness, in translating foreign distances and foreign money? If indeed, as Mr Sadler says, the difference which he chooses to call an error involved the entire argument, or any part of the argument, we should have been guilty of gross unfairness. But it is not so. The difference between 258 and 250, as even Mr Sadler would see if he were not blind with fury, was a difference to his advantage. Our point was this. The fecundity of a dense population in certain departments of France is greater than that of a thinly scattered population in certain counties of England. The more dense, therefore, the population in those departments of France, the stronger was our case. By putting 250, instead of 258, we understated our case. Mr Sadler's correction of our orthography leads us to suspect that he knows very little of Greek; and his correction of our calculation quite satisfies us that he knows very little of logic.
But, to come to the gist of the controversy. Our argument, drawn from Mr Sadler's own tables, remains absolutely untouched. He makes excuses indeed; for an excuse is the last thing that Mr Sadler will ever want. There is something half laughable and half provoking in the facility with which he asserts and retracts, says and unsays, exactly as suits his argument. Sometimes the register of baptisms is imperfect, and sometimes the register of burials. Then again these registers become all at once exact almost to an unit. He brings forward a census of Prussia in proof of his theory. We show that it directly confutes his theory; and it forthwith becomes "notoriously and grossly defective." The census of the Netherlands is not to be easily dealt with; and the census of the Netherlands is therefore pronounced inaccurate. In his book on the Law of Population, he tells us that "in the slave-holding States of America, the male slaves constitute a decided majority of that unfortunate class." This fact we turned against him; and, forgetting that he had himself stated it, he tells us that "it is as erroneous as many other ideas which we entertain," and that "he will venture to assert that the female slaves were, at the nubile age, as numerous as the males." The increase of the negroes in the United States puzzles him; and he creates a vast slave-trade to solve it. He confounds together things perfectly different; the slave-trade carried on under the American flag, and the slave- trade carried on for the supply of the American soil,-the slave- trade with Africa, and the internal slave-trade between the different States. He exaggerates a few occasional acts of smuggling into an immense and regular importation, and makes his escape as well as he can under cover of this hubbub of words. Documents are authentic and facts true precisely in proportion to the support which they afford to his theory. This is one way, undoubtedly, of making books; but we question much whether it be the way to make discoveries.
As to the inconsistencies which we pointed out between his theory and his own tables, he finds no difficulty in explaining them away or facing them out. In one case there would have been no contradiction if, instead of taking one of his tables, we had multiplied the number of three tables together, and taken the average. Another would never have existed if there had not been a great migration of people into Lancashire. Another is not to be got over by any device. But then it is very small, and of no consequence to the argument.
Here, indeed, he is perhaps right. The inconsistencies which we noticed, were, in themselves, of little moment. We give them as samples,-as mere hints, to caution those of our readers who might also happen to be readers of Mr Sadler against being deceived by his packing. He complains of the word packing. We repeat it; and, since he has defied us to the proof, we will go fully into the question which, in our last article, we only glanced at, and prove, in such a manner as shall not leave even to Mr Sadler any shadow of excuse, that his theory owes its speciousness to packing, and to packing alone.
That our readers may fully understand our reasoning, we will again state what Mr Sadler's proposition is. He asserts that, on a given space, the number of children to a marriage becomes less and less as the population becomes more and more numerous.
We will begin with the census of France given by Mr Sadler. By joining the departments together in combinations which suit his purpose, he has contrived to produce three tables, which he presents as decisive proofs of his theory.
The first is as follows:-
"The legitimate births are, in those departments where there are to each inhabitant-
Hectares Departments To every 1000 marriages
4 to 5 2 130 3 to 4 3 4372 2 to 3 30 4250 1 to 2 44 4234
.06 to 1 5 4146
.06 1 2657
The two other computations he has given in one table. We subjoin it.
Hect. to each Number of Legit. Births to Legit. Births to Inhabitant Departments 100 Marriages 100 Mar. (1826)
4 to 5 2 497 397 3 to 4 3 439 389 2 to 3 30 424 379 1 to 2 44 420 375 under 1 5 415 372 and .06 1 263 253
These tables, as we said in our former article, certainly look well for Mr Sadler's theory. "Do they?" says he. "Assuredly they do; and in admitting this, the Reviewer has admitted the theory to be proved." We cannot absolutely agree to this. A theory is not proved, we must tell Mr Sadler, merely because the evidence in its favour looks well at first sight. There is an old proverb, very homely in expression, but well deserving to be had in constant remembrance by all men, engaged either in action or in speculation-"One story is good till another is told!"
We affirm, then, that the results which these tables present, and which seem so favourable to Mr Sadler's theory, are produced by packing, and by packing alone.
In the first place, if we look at the departments singly, the whole is in disorder. About the department in which Paris is situated there is no dispute: Mr Malthus distinctly admits that great cities prevent propagation. There remain eighty-four departments; and of these there is not, we believe, a single one in the place which, according to Mr Sadler's principle, it ought to occupy.
That which ought to be highest in fecundity is tenth in one table, fourteenth in another, and only thirty-first according to the third. That which ought to be third is twenty-second by the table, which places it highest. That which ought to be fourth is fortieth by the table, which places it highest. That which ought to be eighth is fiftieth or sixtieth. That which ought to be tenth from the top is at about the same distance from the bottom. On the other hand, that which, according to Mr Sadler's principle, ought to be last but two of all the eighty-four is third in two of the tables, and seventh in that which places it lowest; and that which ought to be last is, in one of Mr Sadler's tables, above that which ought to be first, in two of them, above that which ought to be third, and,
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