A generation or so ago, scholarly discussion about the creation of new scientific knowledge in seventeenth-century England was often framed in terms of the respective contributions of scholars and practitioners, the effects of their training and background, the relative importance of the universities compared with London, and of the role of external and internal factors, and so forth. These discourses have now largely been put aside in favour of those emphasizing spatial metaphors and models, which are recognized as powerful conceptual (...) tools for representing the dynamics of complex systems. The role that geographies play in the fostering of creativity and innovation in human systems at both the social and cognitive levels is a subject that is attracting widespread interest. (shrink)

1. In the Physics and Metaphysics, Aristotle lays out four kinds of causes and provides examples of each. Bronze and silver are offered as examples of the material causes of artefacts, the father a...

Sometime between 1589 and 1591, a momentous discovery was announced in Florence; or, at least, a discovery thought to be momentous by its promoter: "The true form of the octave is the octuple [ratio 8:1] and not the duple [2:1]".1 Thus taken out of context, we might be forgiven if we failed either to share the author's enthusiasm or to recognize the importance of his finding. But the fact remains that, sadly, nobody else did either: not only did his contemporaries (...) decline to adopt this dramatic solution to the problem of the musical consonances,2 but even those who may take an almost perverse interest at times in the forgotten or the misbegotten—among others, historians of... (shrink)

Over the last two decades, Science Studies has produced a fascinating body of literature on visual representation. A crucial part of that literature has explored the materiality of visual representation, primarily the “rendering practices” that make visual representations possible and embody epistemic virtues attached to the scientific self. This essay explores the practices and capacities that support visual representation, but it looks to a seemingly unlikely place for inspiration—the growing literature on the uses of sound in science. My interest here (...) is to see how that literature points us to a view of sound as an epistemic resource that supports the visual. If there is a visual emphasis in modern science, it is made possible by a set of material practices that are only partly visual. As such, this essay suggests how the history of visual representations in science might be bound up with a history of scientific aurality. (shrink)

This paper is a survey of Father Mersenne’s views about the classification of sciences, its reasons and its practical consequences. Some emphasis is put on the interconnection between Mersenne’s two majors ideas about the practice of science : scientific research is an activity mostly devoted to religious apology and to the edification of the people. This religious concern allows him to resist two of the most influential philosophical streams of his time, scepticism and alchemy, which provide some favorite opponents to (...) his works. We also show how an analogical kinship based on theological considerations and on the classification of sciences gives ground to the same kind of arguments shaping his views about arithmetic, language, and music. Finally, we focus on the connection between Mersenne’s theses, especially about the nature and virtue of language and sound, and a more general discussion of the scientific status of music and language in the context of the blooming of academies. (shrink)

Sabe-se que, durante alguns períodos da história, a Música e a Matemática foram ciências que compartilharam seus conceitos e discussões. Um dos períodos no qual essa comunhão se deu de maneira significativa foi o Renascimento. A Música era então classificada como ciência e, pertencendo ao grupo das matemáticas, dividia seu espaço com a Aritmética, a quem era subordinada, com a Geometria e a Astronomia. Essa divisão foi transmitida através das obras do filósofo Sevério N. Boécio e prevaleceu durante o século (...) XVI, juntamente da noção de subalternação das ciências, provida na obra de Aristóteles e de seus comentaristas. Contudo, durante a segunda metade do século XVI, o cenário teórico foi sofrendo questionamentos e sendo por vezes reformulado. Tais reformulações tomaram várias formas, todavia, foi no diálogo entre dois autores específicos, Gioseffo Zarlino (1517-1590) e Vincenzo Galilei (1533?-1591), que a estrutura vigente foi realmente abalada. Neste artigo, pretendese mostrar a relevância da subalternação das ciências na discussão metodológica para a pretendida reformulação teórica, visto que um dos problemas metodológicos centrais da demonstração nas ciências matemáticas do século XVI foi a reconciliação entre as condições ideais, que governavam o mundo matemático, no caso específico o da Aritmética, e as condições reais do mundo físico natural. It is assumed that during specific periods in history Music and Mathematics were fields which had shared concepts and topics of discussion. A very well known period in which such a communion was specific prolific was the Renaissance. Music was then a mathematic science classified within the quadrivium. During the Renaissance, this conception was well known through the works of the philosopher Boethius and the notion of the subalternate sciences was disseminated through the works of Aristotle and his commentators. However, in the sixteenth century, reformulations were demanded by a number of authors. In the works of Gioseffo Zarlino (1517-1590) and Vincenzo Galilei (1533?-1591) the question on the classification of Music and Mathematics was specifically relevant in challenging the theoretic framework. Therefore, the aim of this article is to demonstrate the relevant role of the discussion on the subalternation of sciences, as it is known that one of the central methodological problems in the demonstration of sciences during the sixteenth century was the definition and reconciliation of the abstract mathematic object and the natural object. (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)

Reed argues that the architectures of knowledge representation in Object -Oriented Programming and in Ayn Rand's Objectivist epistemology are exactly isomorphic, and were first proposed at about the same time. These similarities did not result from mutual influence, but from the need to represent knowledge, in both systems, in accordance with the same facts of reality. Thanks to the isomorphism of knowledge representation in the two systems, logical techniques developed in the context of OOP, such as scope-tracking and inheritance, are (...) directly usable and useful in objective logic based on Objectivist epistemology. (shrink)

This chapter presents the historical-investigative approach used in science teaching. Both history and philosophy of science have come to a sophisticated understanding of the role that experiments play in the generation and establishment of scientific knowledge. This recent development, called the “experimental turn,” is discussed first. Next, this chapter analyzes how practical work has been discussed among science educators in recent decades. Based on such a broad perspective, the historical-investigative approach is linked to recent advancements in history and philosophy of (...) science and in science education. Several modifications of the historical-investigative approach are outlined in order to illustrate their particular objectives, potential, and richness. (shrink)

Festa, E., Roux, S. (2008). The Enigma of the Inclined Plane from Heron to Galileo. In: Laird, W.R., Roux, S. (eds) Mechanics and Natural Philosophy Before the Scientific Revolution. Boston Studies in the Philosophy of Science, vol 254. Springer, Dordrecht.

The Italian musical theorist and lutenist Vincenzo Galilei, father of Galileo Galilei, held a life-long dispute with Gioseffo Zarlino, the famous theorist and capellmeister of San Marcos, in Venice. Daniel. P Walker and Claude V. Palisca - historians of science and music, respectively - thoroughly analyzed this dispute calling the attention to some quantitative aspects of music theory found in Galilei’s work. These scholars understood the dispute as mainly opposing experimentalism to speculative mathematical reasoning. In the present article we suggest (...) an alternative interpretation for this dispute based on newly found manuscripts by Galilei, according to which the dispute had more to do with the ideas Galilei had of science in general and the role played by arithmetic, geometry and sound in music. (shrink)