“The attempt to construct a fundamental taxonomy of the sciences encounters great difficulties. For instance, logicians and mathematicians disagree among themselves about the objects of their respective research; there is no agreement on the relation of theoretical physics to empirical knowledge and to mathematics. The so-called social sciences are particularly difficult to classify. They have not been demarcated by systematic considerations. In Duhem and Poincarè, general considerations are not only exemplified, but the origins of the concepts and of the problems are traced right from the initial observation of facts if at all possible.”

Source: 1940s and later, Otto Neurath Economic Writings. Selections 1904-1945 (2004), p. 269

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Otto Neurath23

austrian economist, philosopher and sociologist 1882–1945

Brian Campbell Vickery (1918–2009) British information theorist

Karl Pearson made similar division of the sciences into abstract and concrete
Source: Classification and indexing in science (1958), Other Chapters, p. 154.

“The relation between the social sciences and the natural sciences has long been fraught with difficulties. A minority of social scientists (including some anthropologists) regard their activity as an extension, or a branch, of biological research. Others argue that the social sciences ought to be sciences of the same kind as the natural sciences; that they should strive after the same kind of precision and the same kind of parsimonious clarity that can be achieved for instance in chemistry.”

Thomas Hylland Eriksen (1962) Norwegian social anthropologist and professor

Source: What is Anthropology? (2nd ed., 2017), Ch. 7 : Nature

“Not only must philosophy be in agreement with our empirical knowledge of Nature, but the origin and formation of the Philosophy of Nature presupposes and is conditioned by empirical physics. However, the course of a science's origin and the preliminaries of its construction are one thing, while the science itself is another. In the latter, the former can no longer appear as the foundation of the science; here, the foundation must be the necessity of the Concept.”

Georg Wilhelm Friedrich Hegel book Encyclopedia of the Philosophical Sciences

Encyclopedia of the Philosophical Sciences (1816)

“Geometry is that of mathematical science which is devoted to consideration of form and size, and may be said to be the best and surest guide to study of all sciences in which ideas of dimension or space are involved. Almost all the knowledge required by navigators, architects, surveyors, engineers, and opticians, in their respective occupations, is deduced from geometry and branches of mathematics. All works of art constructed according to the rules which geometry involves; and we find the same laws observed in the works of nature. The study of mathematics, generally, is also of great importance in cultivating habits of exact reasoning; and in this respect it forms a useful auxiliary to logic.”

Robert Chambers (publisher, born 1802) (1802–1871) Scottish publisher and writer

Robert Chambers, Chambers's Information for the People (1875) Vol. 2 https://books.google.com/books?id=vNpTAAAAYAAJ

“I maintain that in every special natural doctrine only so much science proper is to be met with as mathematics; for… science proper, especially of nature, requires a pure portion, lying at the foundation of the empirical, and based upon à priori knowledge of natural things. …the conception should be constructed. But the cognition of the reason through construction of conceptions is mathematical. A pure philosophy of nature in general, namely, one that only investigates what constitutes a nature in general, may thus be possible without mathematics; but a pure doctrine of nature respecting determinate natural things (corporeal doctrine and mental doctrine), is only possible by means of mathematics; and as in every natural doctrine only so much science proper is to be met with therein as there is cognition à priori, a doctrine of nature can only contain so much science proper as there is in it of applied mathematics.”

Immanuel Kant book Metaphysical Foundations of Natural Science

Preface, Tr. https://books.google.com/books?id=OCJLAAAAMAAJ Ernest Belfort Bax (1883) <br class="br">Metaphysical Foundations of Natural Science (1786)

“CONSIDERABLE attention has recently been devoted to understanding behavior in large organizational systems. Although some of this work has been based on research, it has more typically been general theorizing with little support from research data. Our interest in examining complex organizations is to study more systematically and empirically their internal functioning in relation to the demands of the external environment on the organization and the ability of the organization to cope effectively with these demands, contributing to a theory of the functioning of large organizations based on empirical research.”

Paul R. Lawrence (1922–2011) American business theorist

Source: "Differentiation and integration in complex organizations," 1967, p. 2