The metaphysical commitment to the circle as the essential element in the analysis of celestial motion has long been recognized as the hallmark of classical astronomy. What has not always been clear, however, is that the circle continued to serve Kepler as a central element in his astronomy after the discovery of the elliptical orbit of Mars. Moreover, the circle also functioned for Kepler in geometry to select the basic polygons, in music to select the basic harmonies, and in astrology (...) to select the basic aspects. His basic set of polygons consisted of those figures that could be constructed using only a compass and a rule; the set of fundamental harmonies consisted of the consonances of the just intonation; and the traditional set of astrological aspects were enlarged by Kepler to include three new aspects in order to make the astrological set consistent with geometry and music. And as the circle served to unify these three areas, so also did it serve to supply the fundamental answers to astronomical problems well after the discovery of his new astronomy—a topic to be discussed in Part II of this paper. (shrink)

This is an essay review of Andersen, Barker and Chen's The Cognitive Structure of Scientific Revolutions.

Constructivism claims to be a postepistemology that replaces ‘traditional’ concepts of knowledge. Supporters of constructivism have argued that progress requires that pre‐service teachers be weaned off traditional approaches and that they should adopt constructivist views of knowledge. Constructivism appears to be gaining ground rapidly and should no longer be viewed as an exercise in radical thinking primarily aimed at generating innovative teaching. It has become an integral part of the pedagogic mainstream. Close examination of the theoretical foundations of constructivism, however, (...) reveals that the basic assumptions of constructivism are flawed. Far from being a postepistemology, constructivism simply regresses to a pre‐Renaissance mindset with theology replaced with a psychologism. Constructivists should be aware that the implications of constructivism for future generations may be both profound and non‐benign. (shrink)

Constructivism claims to be a postepistemology that replaces 'traditional' concepts of knowledge. Supporters of constructivism have argued that progress requires that pre-service teachers be weaned off traditional approaches and that they should adopt constructivist views of knowledge. Constructivism appears to be gaining ground rapidly and should no longer be viewed as an exercise in radical thinking primarily aimed at generating innovative teaching. It has become an integral part of the pedagogic mainstream. Close examination of the theoretical foundations of constructivism, however, (...) reveals that the basic assumptions of constructivism are flawed. Far from being a postepistemology, constructivism simply regresses to a pre-Renaissance mindset with theology replaced with a psychologism. Constructivists should be aware that the implications of constructivism for future generations may be both profound and non-benign. (shrink)

A rationalist and realist model of scientific revolutions will be constructed by reference to two categories of criteria of theory-evaluation, denominated indicators of truth and of beauty. Whereas indicators of truth are formulateda priori and thus unite science in the pursuit of verisimilitude, aesthetic criteria are inductive constructs which lag behind the progression of theories in truthlikeness. Revolutions occur when the evaluative divergence between the two categories of criteria proves too wide to be recomposed or overlooked. This model of revolutions (...) depends upon a substantial new treatment of aesthetic criteria in science with which much of the paper will therefore be occupied. (shrink)

Although one would not wish to classify Copernicus’ own intentions as belonging to the late-medieval and Renaissance tradition of nominalist philosophy, if we are to turn our consideration to what was responsible for the eventual success of the Copernican Revolution, we must also attend to other features of the dialectical context in relation to which the views of Copernicus and his followers were articulated, interpreted, and evaluated. Accordingly, this paper discusses the significance of the erosion of the Aristotelian prohibition against (...) metabasis to the eventual success of the Copernican Revolution. (shrink)