Nature’s drawing: problems and resolutions in the mathematization of motion

The mathematical nature of modern science is an outcome of a contingent historical process, whose most critical stages occurred in the seventeenth century. ‘The mathematization of nature’ (Koyré 1957, From the closed world to the infinite universe, 5) is commonly hailed as the great achievement of the ‘scientific revolution’, but for the agents affecting this development it was not a clear insight into the structure of the universe or into the proper way of studying it. Rather, it was a deliberate project of great intellectual promise, but fraught with excruciating technical challenges and unsettling epistemological conundrums. These required a radical change in the relations between mathematics, order and physical phenomena and the development of new practices of tracing and analyzing motion. This essay presents a series of discrete moments in this process. For mediaeval and Renaissance philosophers, mathematicians and painters, physical motion was the paradigm of change, hence of disorder, and ipso facto available to mathematical analysis only as idealized abstraction. Kepler and Galileo boldly reverted the traditional presumptions: for them, mathematical harmonies were embedded in creation; motion was the carrier of order; and the objects of mathematics were mathematical curves drawn by nature itself. Mathematics could thus be assigned an explanatory role in natural philosophy, capturing a new metaphysical entity: pure motion. Successive generations of natural philosophers from Descartes to Huygens and Hooke gradually relegated the need to legitimize the application of mathematics to natural phenomena and the blurring of natural and artificial this application relied on. Newton finally erased the distinction between nature’s and artificial mathematics altogether, equating all of geometry with mechanical practice.     

Reading and reflecting sacred texts in the presence of the other. An empirical study on the use of ‘scriptural reasoning’ in teacher education

In this article the method of Scriptural Reasoning (SR), a text-based approach to interreligious dialogue between participants of the three Abrahamic religions, was implemented for a teacher education setting at a German university. Not only students with an outspoken religious conviction but also agnostic and atheist students, preparing themselves to become teachers in public schools, were invited into the conversation. The article documents and discusses the qualitative-empirical research in which the SR meetings were embedded. The aim of the article is not to create a hermeneutical theory for SR but rather to explore how SR as a method, with its specific learning tool of text-work, can be turned into a broader didactical model which can be transferred to other learning environments and which can in the long run provide empirical evidence on successful teacher education in multi-religious and multi-worldview societies and schools.