19 November 2025

On Statistics (-1849)

"The calculation of probabilities is of the utmost value, […] but in statistical inquiries there is need not so much of mathematical subtlety as of a precise statement of all the circumstances. The possible contingencies are too numerous to be covered by a finite number of experiments, and exact calculation is, therefore, out of the question. Although nature has her habits, due to the recurrence of causes, they are general, not invariable. Yet empirical calculation, although it is inexact, may be adequate in affairs of practice." (Gottfried W Leibniz [letter to Bernoulli], 1703)

"Geography is only a branch of statistics, a knowledge of which is necessary to the well-understanding of the history of nations, as well as their situations relative to each other." (William Playfair, "The Commercial and Political Atlas", 1786)

"Statistical accounts are to be referred to as a dictionary by men of riper years, and by young men as a grammar, to teach them the relations and proportions of different statistical subjects, and to imprint them on the mind at a time when the memory is capable of being impressed in a lasting and durable manner, thereby laying the foundation for accurate and valuable knowledge." (William Playfair, "The Statistical Brewery", 1801)

"Statistical knowledge, though in some degree searched after in the most early ages of the world, has not till within these last 50 years become a regular object of study." (William Playfair, "The Statistical Brewery", 1801)

"There are two aspects of statistics that are continually mixed, the method and the science. Statistics are used as a method, whenever we measure something, for example, the size of a district, the number of inhabitants of a country, the quantity or price of certain commodities, etc. […] There is, moreover, a science of statistics. It consists of knowing how to gather numbers, combine them and calculate them, in the best way to lead to certain results. But this is, strictly speaking, a branch of mathematics." (Alphonse P de Candolle, "Considerations on Crime Statistics", 1833)

"Statistics is a science which ought to be honourable, the basis of many most important sciences; but it is not to be carried on by steam, this science, any more than others are; a wise hand is requisite for carrying it on. Conclusive facts are inseparable from unconclusive except by a head that already understands and knows." (Thomas Carlyle, "Critical and Miscellaneous Essays", 1838)

"A judicious man looks at Statistics, not to get knowledge, but to save himself from having ignorance foisted on him." (Thomas Carlyle, "Chartism", 1840)

"What constitutes the well-being of a man? Many things; of which the wages he gets, and the bread he buys with them, are but one preliminary item. Grant, however, that the wages were the whole; that once knowing the wages and the price of bread, we know all ; then what are the wages? Statistic Inquiry, in its present unguided condition, cannot tell. The average rate of day's wages is not correctly ascertained for any portion of this country; not only not for half-centuries, it is not even ascertained anywhere for decades or years: far from instituting comparisons with the past, the present itself is unknown to us." (Thomas Carlyle, "Chartism", 1840

"Statistics has then for its object that of presenting a faithful representation of a state at a determined epoch." (Adolphe Quetelet, 1849)


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