What is the relationship between the world and logic, between intuition and language, between objects and their quantitative determinations? Rationalists, on the one hand, hold that the world is structured in a rational way. Representationalists, on the other hand, assume that language, logic, and mathematics are only the means to order and describe the intuitively given world. In World and Logic, Jens Lemanski takes up three surprising arguments from Arthur Schopenhauer’s hitherto undiscovered Berlin Lectures, which concern the philosophy of language, (...) logic, and mathematics. Based on these arguments, Lemanski develops a new position entitled ‘rational representationalism’: the world is always structured by human beings according to linguistic, logical, and mathematical principles, but the basic vocabulary of these structural descriptions already contains metaphors taken from the world around us. (shrink)

1. This paper addresses the development of mutual relations between two sets of ideas in scholastic logic. First, consider the following statements: (1) It is impossible to encounter a chimera.(2)...

Tylman has recently pointed out some striking conceptual and methodological analogies between philosophy and computer science. In this paper, I focus on one of Tylman’s most convincing cases, viz. the similarity between Plato’s theory of Ideas and the object-oriented programming paradigm, and analyze it in some more detail. In particular, I argue that the platonic doctrine of the Porphyrian tree corresponds to the fact that most object-oriented programming languages do not support multiple inheritance. This analysis further reinforces Tylman’s point regarding (...) the conceptual continuity between classical metaphysical theorizing and contemporary computer science. (shrink)

This inaugural handbook documents the distinctive research field that utilizes history and philosophy in investigation of theoretical, curricular and pedagogical issues in the teaching of science and mathematics. It is contributed to by 130 researchers from 30 countries; it provides a logically structured, fully referenced guide to the ways in which science and mathematics education is, informed by the history and philosophy of these disciplines, as well as by the philosophy of education more generally. The first handbook to cover the (...) field, it lays down a much-needed marker of progress to date and provides a platform for informed and coherent future analysis and research of the subject. -/- The publication comes at a time of heightened worldwide concern over the standard of science and mathematics education, attended by fierce debate over how best to reform curricula and enliven student engagement in the subjects There is a growing recognition among educators and policy makers that the learning of science must dovetail with learning about science; this handbook is uniquely positioned as a locus for the discussion. -/- The handbook features sections on pedagogical, theoretical, national, and biographical research, setting the literature of each tradition in its historical context. Each chapter engages in an assessment of the strengths and weakness of the research addressed, and suggests potentially fruitful avenues of future research. A key element of the handbook’s broader analytical framework is its identification and examination of unnoticed philosophical assumptions in science and mathematics research. It reminds readers at a crucial juncture that there has been a long and rich tradition of historical and philosophical engagements with science and mathematics teaching, and that lessons can be learnt from these engagements for the resolution of current theoretical, curricular and pedagogical questions that face teachers and administrators. (shrink)

Science has always engaged with the worldviews of societies and cultures. The theme is of particular importance at the present time as many national and provincial education authorities are requiring that students learn about the nature of science (NOS) as well as learning science content knowledge and process skills. NOS topics are being written into national and provincial curricula. Such NOS matters give rise to at least the following questions about science, science teaching and worldviews: -/- What is a worldview? (...) -/- Does science have a worldview? -/- Are there specific ontological, epistemological and ethical prerequisites for the conduct of science? -/- Does science lack a worldview but nevertheless have implications for worldviews? -/- How can scientific worldviews and practice be reconciled with seemingly discordant religious and cultural worldviews? -/- In which ways do the worldviews of students impact on their interest and learning of science? -/- Should science teachers engage with the worldviews of students? -/- In addition to the NOS curricular impetus for refining understanding of science and worldviews, there are also pressing cultural and social forces that give prominence to questions about science, worldviews and education. There is something of an avalanche of popular literature on the subject that teachers and students are variously engaged by. Additionally the modernisation and science-based industrialisation of huge non-Western populations whose traditional religions and beliefs are different from those that have been associated with orthodox science make very pressing the questions of whether, and how, science is committed to and hence promotes particular worldviews and contradicts others. Hopefully this chapter, and others in the section, will contribute to a more informed understanding of the relationship between science, worldviews and education and provide assistance to teachers who are routinely engaged with the subject. (shrink)