Another of Sir William Petty’s helps in the arithmetic of population was the Chimney Tax, a revival of the old fumage or hearth-money—smoke farthings, as the people called them—once paid, according to Domesday Book, for every chimney in a house. Charles the Second had set up a chimney tax in the year 1662; the statistics of the collection were at the service of Sir William Petty. The tax outlived him but two years. It was promptly abolished in the first year of William and Mary.

The interest taken at home and abroad in these calculations of Political Arithmetic set other men calculating, and reasoning upon their calculations. The next worker in that direction was Gregory King, Lancaster Herald, whose calculations immediately followed those of Sir William Petty. Sir William Petty’s essays extended from 1682 until his death in 1687. Gregory King’s estimates were made in 1689. They were a study of the number population and distribution of wealth among us at the time of the English Revolution, and the unpublished results were first printed in a chapter on “The People of England,” which formed part a volume published in 1699 as “An Essay upon the Probable Methods of making a People Gainers in the Balance of Trade, by the Author of the Essay on Ways and Means.” The volume was written by a member of Parliament in the days of William and Mary, who desired to apply principles of political economy to the maintenance of English wealth and liberty. It has been wrongly scribed to Defoe; and its suggestion of the plan a trading Corporation for solution of the whole problem of relief to the poor who cannot work, and relief from the poor who can, might indeed make another chapter in Defoe’s “Essay on Projects.” The chapter, which gives the Political Arithmetic of Gregory King, with such comment and suggestions as might be expected from a liberal supporter of the Revolution, and with this suggestion of a Corporation, is in itself a complete essay. It follows naturally upon the Political Arithmetic of Sir William Petty in close sequence of time, and in carrying a like method of inquiry forward until it reaches a few more conclusions. I have, therefore, added it to this volume. It seems, at any rate, to show how Sir William Petty’s books, of which the very small size grieved the stationer, had a large influence on other minds; his figures bearing fruit in a new search for facts and careful reasoning on the condition of the country at one of the most critical times in English history.

H. M.

THE STATIONER TO THE READER.

The ensuing essay concerning the growth of the city of London was entitled “Another Essay,” intimating that some other essay had preceded it, which was not to be found. I having been much importuned for that precedent essay, have found that the same was about the growth, increase, and multiplication of mankind, which subject should in order of nature precede that of the growth of the city of London, but am not able to procure the essay itself, only I have obtained from a gentleman, who sometimes corresponded with Sir W. Petty, an extract of a letter from Sir William to him, which I verily believe containeth the scope thereof; wherefore, I must desire the reader to be content therewith, till more can be had.

The extract of a letter concerning the scope of an essay intended to precede another essay concerning the growth of the City of London, &c. An Essay in Political Arithmetic, concerning the value and increase of People and Colonies.

The scope of this essay is concerning people and colonies, and to make way for “Another Essay” concerning the growth of the city of London. I desire in this first essay to give the world some light concerning the numbers of people in England, with Wales, and in Ireland; as also of the number of houses and families wherein they live, and of acres they occupy.

2. How many live upon their lands, how many upon their personal estates and commerce, and how many upon art, and labour; how many upon alms, how many upon offices and public employments, and how many as cheats and thieves; how many are impotents, children, and decrepit old men.

3. How many upon the poll-taxes in England, do pay extraordinary rates, and how many at the level.

4. How many men and women are prolific, and how many of each are married or unmarried.