Warren Schmaus

This paper traces August Comte’s attempts to get clear about the concept of mathematical analysis at various stages in his intellectual development. Comte was especially concerned with distinguishing a method of analysis for the resolution of complex prolems from analysis in the sense of a method of drawing inferences. Geometrical analysis serves as his model for the former. In his attempt to get clear about this notion, he discovers an historical succession of different methods all of which may be labeled “analytic.” In modern terms, Comte reveals how each of these methods of analysis characterizes a research program in mathematics, even showing us how more powerful methods came to supplant less powerful methods of analysis.

In this demonstration of the link between philosophy of science and scientific practice, Warren Schmaus argues that Durkheim's philosophy is crucial to his sociology. Through a reinterpretation of the relation between Durkheim's major philosophical and sociological works, Schmaus argues that Durkheim's sociology is more than a collection of general observations about society—it reflects a richly constructed theory of the meanings and causes of social life. Schmaus shows how Durkheim sought to make sociology more rigorous by introducing scientific methods of analysis and explanation into the study of society. Durkheim tried to reveal how implicit, commonly held beliefs actually govern people's lives. Through an original interpretation of Durkheim's landmark writings, Schmaus argues that Durkheim, in his empirical studies, refined both the methods of sociology and a theory about society's shared knowledge and practices. This book opens a new window on the development of Durkheim's thought and demonstrates how a philosophy of science can inspire the rise of a new science.

For Hacking, the word "real", like the sexist expression "wear the trousers", takes its meaning from its negative uses. In this essay, I criticize Hacking's reasons for believing that the objects of study of the social sciences are not real. First I argue that the realism issue in the social sciences concerns not unobservable entities but systems of social classification. I then argue that Hacking's social science nominalism derives from his considering social groups in isolation from the entire social system. I conclude that the objects of study of the social sciences do not relegate them to an inferior status.

Renouvier was among the first philosophers in France to break with the nineteenth-century inductivist tradition and defend the use of hypotheses in science. Earlier in the century, the humanistically-educated eclectic spiritualist philosophers who dominated French academic life had followed Reid in proscribing the use of hypotheses. Renouvier, who was educated in the sciences, took up the Comtean positivist alternative and developed it further. He began by defending hypotheses that anticipate laws governing the phenomena, but then eventually adopted a more liberal attitude towards hypotheses that postulate unobservable entities and processes as well. He also came to the realization that, from an epistemological point of view, all of empirical science is hypothetical. Renouvier used the tentative character of scientific knowledge as a premise from which to critique those who would claim scientific status for their social philosophies, and maintained a distinction between normative philosophical and empirical scientific inquiries.Keywords: Charles Renouvier; Auguste Comte; Positivism; Hypothesis; Eclectic spiritualism