Aspects of this topic are discussed in the following places at Britannica.
The quest for theoretical self-awareness in the empirical sciences has led to interest in methodological and foundational problems as well as to attempts to axiomatize different empirical theories. Moreover, general methodological problems, such as the nature of scientific explanations, have been discussed intensively among philosophers of science. In all of these endeavours, logic plays an...
The successful application of reason to any question depended on its correct application—on the development of a methodology of reasoning that would serve as its own guarantee of validity. Such a methodology was most spectacularly achieved in the sciences and mathematics, where the logics of induction and deduction made possible the creation of a sweeping new cosmology. The success of...
the study of the logical and philosophical basis of mathematics, including whether the axioms of a given system ensure its completeness and its consistency. Because mathematics has served as a model for rational inquiry in the West and is used extensively in the sciences, foundational studies have far-reaching consequences for the reliability and extensibility of rational thought itself.
Much 19th-century sociology had no system for gathering and analyzing data, but over time the inadequacies of speculative methods became increasingly evident, as did the need for obtaining reliable and verifiable knowledge. Like his contemporaries, Herbert Spencer assembled vast stores of observations made by others and used these to illustrate and support generalizations he had already...
The evidence for such processes of technological transmission is a reminder that the material for the study of the history of technology comes from a variety of sources. Much of it relies, like any historical examination, on documentary matter, although this is sparse for the early civilizations because of the general lack of interest in technology on the part of scribes and chroniclers. For...
...to the brilliant content of his philosophical doctrines, Kant was responsible for three crucial philosophical innovations: (1) a new definition of philosophy, (2) a new conception of philosophical method, and (3) a new structural model for the writing of philosophy.
6. In methodology, Pragmatism is a broad philosophical attitude toward the formation of concepts, hypotheses, and theories and their justification. To Pragmatists man’s interpretations of reality are motivated and justified by considerations of efficacy and utility in serving his interests and needs; the molding of language and theorizing are likewise subject to the critical objective of...
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