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.

Comte's three-state law concerns the historical development of our methods of cognitive inquiry. Comte believes he can defend his three-state law either by :,rational proofs" based upon our knowledge of the human mind or upon 'historical verifications." Comte then uses the three-state law of scientific progress to argue for the existence of industrial and multistate political laws of progress. Here Comte strays from his positivism. He attributes a kind of causal efficacy to scientific progress which leads him to look for laws of social dynamics describing the social progress which result from the scientific. Here Comte is guilty of Popper's "poverty of historicism" charge. Comte's three-state law of scientific development is more easily defended than his concept of historical method

Renouvier criticized Comte’s positivist philosophy of science and proposed a social contract approach for dealing with normative questions in philosophy of science as well as moral philosophy. Renouvier then questioned Kant’s distinction between practical and theoretical reason and argued that judgments concerning epistemic warrant must be freely made in the same way that moral judgments are made. What counts as scientific knowledge depends on a consensus within the scientific community that develops over time through critical inquiry in much the same way that a legitimate contract governing society at large must. But a scientific contract consisting of conventionally held theories and methods depends for its justification on a larger social contract that guarantees freedom of inquiry.

In his lectures on pragmatism presented in the academic year 1913—14 at the Sorbonne, Durkheim argued that James’s pragmatist theory of truth, due to its emphasis on individual satisfaction, was unable to account for the obligatory, necessary and impersonal character of truth. But for Durkheim to make this charge is only to raise the question whether he himself could account for the morally obligatory or normative character of truth. Although rejecting individualism may be necessary for explaining the existence of norms, it is not sufficient. I argue that Durkheim never succeeded in providing a full account of normativity. Of course, this is a problem that remains unresolved today. Nevertheless, Durkheim took an important step beyond James in recognizing the insufficiency of his individualist account of truth

Critics of Laudan's normative naturalism have questioned whether methodological rules can be regarded as empirical hypotheses about relations between means and ends. Drawing on Laudan's defense that rules of method are contingent on assumptions about the world, I argue that even if such rules can be shown to be analytic in principle (Kaiser 1991), in practice the warrant for such rules will be empirical. Laudan's naturalism, however, acquires normative force only by construing both methods and epistemic goals as instrumental to practical concerns, and issues only in context-specific and not general methodological principles

Renouvier had argued that Comte's philosophy of science yielded very conservative normative advice regarding the sciences. Fedi, Becquemont, Logue, and Mouy have suggested the same charge could be leveled at Renouvier regarding evolutionary theory, non-Euclidean geometry, and set theory. This paper shows Renouvier's views were not unreasonable given what was known at the time. Further, Renouvier had a deeper appreciation than Comte of human fallibility and did not proscribe any area of research, even those with which he disagree.

This book offers a reassessment of the work of Emile Durkheim in the context of a French philosophical tradition that had seriously misinterpreted Kant by interpreting his theory of the categories as psychological faculties. Durkheim's sociological theory of the categories, as revealed by Warren Schmaus, is an attempt to provide an alternative way of understanding Kant. For Durkheim the categories are necessary conditions for human society. The concepts of causality, space and time underpin the moral rules and obligations that make society possible. A particularly interesting feature of this book is its transcendence of the distinction between intellectual and social history by placing Durkheim's work in the context of the French educational establishment of the Third Republic. It does this by subjecting student notes and philosophy textbooks to the same sort of critical analysis typically applied only to the classics of philosophy.

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.