This paper is concerned with the use of logic to solve philosophical problems. Such use of logic goes counter to the prevailing empiricist tradition in analytic circles. Specifically, model-theoretic tools are applied to three fundamental issues in the philosophy of logic and mathematics, namely, to the issue of the existence of mathematical entities, to the dispute between first- and second-order logic and to the definition of analyticity.

Pierre Duhem’s (1861-1916) lifelong opposition to 19th century atomic theories of matter traditionally has been attributed to his conventionalist and/or positivist philosophy of science. Relatively recently, the traditional view has been challenged by the new claim that Duhem’s opposition to atomism was due to the precarious state of atomic theories at the beginning of the 20th century. In this paper, I present some of the difficulties with both the traditional and the new interpretation of Duhem’s opposition to atomism, and provide (...) a new framework in which to understand Duhem's rejection of atomic hypotheses. I argue that although not positivist, instrumentalist, or conventionalist, Duhem’s philosophy of physics was not compatible with belief in unobservable atoms and molecules. The key for understanding Duhem’s resistance to atomism during the final phase of his career is the historicist arguments he presented in support of his ideal of physics. (shrink)

In this chapter I investigate the prospects of integrated history and philosophy of science, by examining how philosophical issues raised by “hidden entities”, entities that are not accessible to unmediated observation, can enrich the historical investigation of their careers. Conversely, I suggest that the history of those entities has important lessons to teach to the philosophy of science. Hidden entities have played a crucial role in the development of the natural sciences. Despite their centrality to past scientific practice, however, several (...) of them (e.g., phlogiston, caloric, and the ether) turned out to be fictitious. For this reason, they have figured prominently in recent debates on scientific realism. The issues I explore in this paper are entangled with those debates. I argue that our understanding of hidden entities and their role in experimental practice can be enhanced by adopting an integrated historical-cum-philosophical approach. On the one hand, philosophical reflection on the reality of those entities has a lot to gain by examining historically how they were ntroduced and investigated. On the other hand, the historical reconstruction of the careers of those entities may profit from philosophical reflection on their existence. (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)

This paper deals with Schaffer’s distinction between metaphysical structures, as well as his appeal for revival of neo-Aristotelian approaches that imply ordered structure, based on the criticism of Quine’s method that, in his view, implies flat metaphysical structure. However, although we believe that Schaffer’s distinction between metaphysical structures is an interesting and, basically, acceptable view, we will try to show that Schaffer’s arguments are not convincing enough to persuade us to abandon Quine’s method and adopt the Aristotelian metaphysical model. Moreover, (...) when mistakes that Schaffer makes are corrected and Quine’s method is given due attention, we will see that this can enable us a more tenable interpretation of the concepts that Schaffer speaks of (metaphysical structures), but also – as in his case – to draw certain conclusions that go beyond objectives of classification as such. (shrink)

This chapter will discuss the role of thought experiments in science and in science teaching. The constructive and destructive roles played by thought experiments in the construction of scientific theories can be used in science teaching to help students to understand the processes of science. In addition, they have potential to be used as a teaching tool for developing students’ conceptual understanding. The use of thought experiments can also increase students’ interest in science and help them in understanding situations beyond (...) their everyday experiences. It has been reported elsewhere that the use of thought experiments in science teaching may be challenging for both teachers and students. Despite the recent increase in research activities with respect to thought experiments in science education, further systematic research work is still needed for the most effective methods to be discovered of how best to use thought experiments in science teaching. Of particular importance will be studies that focus on science teachers’ understanding of thought experiments and their actual use in a classroom environment. (shrink)

The old antagonism between the Quinean and the Duhemian view on underdetermination is reexamined. In this respect, two theses will be defended. First, it is argued that the main differences between Quine's and Duhem's versions of underdetermination derive from a different attitude towards the history of science. While Quine considered underdetermination from an ahistorical, a logical point of view, Duhem approached it as a distinguished historian of physics. On this basis, a logical and a historical version of the underdetermination thesis (...) can be distinguished. The second thesis of the article is that the main objections against underdetermination are fatal only to the logical rendering. Taken together, the two theses constitute a defence of underdetermination. (shrink)