At the University of Chicago, the façade of the Social Science Research Building bears Lord Kelvin's famous dictum: "If you cannot measure, your knowledge is meager and unsatisfactory." 1 Would that statement be there if it had been written, not by a physicist, but by a sociologist, political scientist, or economist? Or again, would terms like "meter reading" and "yardstick" recur so frequently in contemporary discussions of epistemology and scientific method were it not for the prestige of modern physical science and the fact that measurement so obviously bulks large in its research? Suspecting that the answer to both these questions is no, I find my assigned role in this con- ference particularly challenging. Because physical science is so often seen as the paradigm of sound knowledge and because quantitative techniques seem to provide an essential clue to its success, the question how measurement has actually functioned for the past three centuries in physical science arouses more than its natural and intrinsic interest. Let me therefore make my gen- eral position clear at the start. Both as an ex-physicist and as an historian of physical science I feel sure that, for at least a century and a half, quantitative methods have indeed been central to the development of the fields I study. On the other hand, I feel equally convinced that our most prevalent notions both about the function of measurement and about the source of its special efficacy are derived largely from myth.
Partly because of this conviction and partly for more autobiographical rea- sons, 2 I shall employ in this paper an approach rather different from that of most other contributors to this conference. Until almost its close my essay will include no narrative of the increasing deployment of quantitative tech- niques in physical science since the close of the Middle Ages. Instead, the two
For the façade see, Eleven Twenty-Six: A Decade of Social Science Research, ed. Louis Wirth ( Chicago, 1940), p. 169. The sentiment there inscribed recurs in Kelvin's writings, but I have found no formulation closer to the Chicago quotation than the fol- lowing: "When you cannot express it in num- bers, your knowledge is of a meagre and un- satisfactory kind." See Sir William Thomson, "Electrical Units of Measurement," Popular Lectures and Addresses, 3 vols. ( London, 1889- 91), I,73.
The central sections of this paper, which was added to the present program at a late date, are abstracted from my essay, "The Role of Measurement in the Development of Nat- ural Science," a mutilated. revision of a talk first given to the Social Sciences Colloquium of the University of California, Berkeley. That version will be published in a volume of papers on "Quantification in the Social Sciences" that grows out of the Berkeley colloquium. In de- riving the present paper from it, I have pre- pared a new introduction and last section, and have somewhat condensed the material that intervenes.
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Publication Information: Book Title: Quantification: A History of the Meaning of Measurement in the Natural and Social Sciences. Contributors: Harry Woolf - editor. Publisher: Bobbs-Merrill. Place of Publication: Indianapolis. Publication Year: 1961. Page Number: 31.
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