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Scientists often diverge widely when choosing between research programs. This can seem to be rooted in disagreements about which of several theories, competing to address shared questions or phenomena, is currently the most epistemically or explanatorily valuable—i.e. most successful. But many such cases are actually more directly rooted in differing judgments of pursuit-worthiness, concerning which theory will be best down the line, or which addresses the most significant data or questions. Using case studies from 16th-century astronomy and 20th-century geology and (...) |
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This article situates Edward Gresham'sAstrostereon, or A Discourse of the Falling of the Planet(1603), a little-known English astronomical treatise, in the context of the cosmo-theological debate on the reconciliation of heliocentrism with the Bible, triggered by the publication of Nicholas Copernicus'sDe revolutionibus orbium coelestiumin 1543. Covering the period from the appearance of the ‘First Account’ of Copernican views presented in Georg Joachim Rheticus'sNarratio Prima(1540) to the composition ofAstrostereonin 1603, this paper places Edward Gresham's commentary and exegesis against the background of (...) |
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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 (...) |
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ArgumentThe purpose of this paper is to provide an analysis of Giordano Bruno’s conception of mathematics. Specifically, it intends to highlight two aspects of this conception that have been neglected in previous studies. First, Bruno’s conception of mathematics changed over time and in parallel with another concept that was central to his thought: the concept of infinity. Specifically, Bruno undertook a reform of mathematics in order to accommodate the concept of the infinitely small or “minimum,” which was introduced at a (...) |
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Ever since its foundation in 1540, the Society of Jesus had had one mission—to restore order where Luther, Calvin and the other instigators of the Reformation had brought chaos. To stop the hemorrhage of believers, the Jesuits needed to form a united front. No signs of internal disagreement could to be shown to the outside world, lest the congregation lose its credibility. But in 1570s two prominent Jesuits, Cristophorus Clavius and Benito Perera, had engaged in a bitter controversy. The issue (...) |
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A corpus of 360 distinct early modern printed editions containing Johannes de Sacrobosco’s Tractatus de sphaera is “dissected” into a corpus of 540 text-parts, 241 of them re-occurring at least once. Through the exploration of the data, we recognized a relevant position for four anonymous authors in their social network. We demonstrate that the text-parts originally assigned to the anonymous authors were authored or edited by Georg Rheticus. By means of data analysis, we conclusively establish that Rheticus profoundly impacted the (...) |
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In this paper, we demonstrate how a systematic taxonomy of stances can help elucidate two classic debates of the historical turn—the Lakatos–Feyerabend debate concerning theory rejection and the Feyerabend–Kuhn debate about pluralism during normal science. We contend that Kuhn, Feyerabend, and Lakatos were often talking at cross-purposes due to the lack of an agreed upon taxonomy of stances. Specifically, we provide three distinct stances that scientists take towards theories: acceptance of a theory as the best available description of its domain, (...) |
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The paper considers the development of physics‐teaching at the universities of Königsberg (founded 1544) and Helmstedt (founded 1576). The question is: How many teachers of physics professed Aristotelianism and how long? and why did most of them reject Copernicanismus? The paper suggests that Melanchthon, not only the founder of early German philosophy ‘was also the propounder of a form of, modern Aristotelianism’ which proved very valuable in mediating between theologians and philosophers on the one side and between philosophers and experimentalists (...) |
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Narratives about the peaceful and fruitful relationship of religion and science in early-modern times have long since replaced the nineteenth-century vision of the ‘warfare of science with theology... |
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At the end of the sixteenth century astronomers and others felt compelled to choose among different cosmologies. For Tycho Brahe, who played a central role in these debates, the intersection of the spheres of Mars and the Sun was an outstanding problem that had to be resolved before he made his choice. His ultimate solution was to eliminate celestial spheres in favour of fluid heavens, a crucial step in the abandonment of the Ptolemaic system and the demise of Aristotelian celestial (...) |
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The history of the continuous inclusion of mathematics in liberal education in the West, from ancient times through the modern period, is sketched in the first two sections of this chapter. Next, the heart of this essay (Sects. 3, 4, 5, 6, and 7) delineates the central role mathematics has played throughout the history of Western civilization: not just a tool for science and technology, mathematics continually illuminates, interacts with, and sometimes challenges fields like art, music, literature, and philosophy – (...) |
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General discussions of the appropriate relations between history and philosophy of science must be complemented by examinations of particular studies involving both fields. Martin Curd's attempt to illuminate the rationality of theory change through analysis of the Copernican Revolution is such a study; his work is undercut by serious flaws and actually displays an ahistorical approach. The result misleads both about the Copernican Revolution and the general problem of theory change in science. The study does illustrate several types of failing (...) |
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Some of Kepler's works seem very different in character. His youthful Mysterium cosmographicum (1596) argues for heliocentrism on the basis of metaphysical, astronomical, astrological, numerological and architectonic principles. By contrast, Astronomia nova (1609) is far more tightly argued on the basis of only a few dynamical principles. In the eyes of many, such a contrast embodies a transition from Renaissance to early modern science. I suggest that Karl Popper's fallibilist and piecemeal approach, and especially his theory of errors, might prove (...) |
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In setting forth a new theory of the growth of scientific knowledge, Larry Laudan shows that any account of scientific change has consequences for the relationship between the history, philosophy and sociology of science. It is a laudable feature of his work that he does not treat any of these disciplines as undifferentiated monoliths. In fact, one of his main goals is to show that his account of progress requires specific ways of doing and relating these three disciplines. As an (...) |
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If we look at Isis as an archive of research articles representing ways in which historians have written about science over the past century, then one changing practice can be found in discussions of the usefulness of metaphors in the history of the sciences. During the first half of Isis’s history, metaphors were represented in stable categories: image studies, scientific analogies, diffusion, and individual scientists associated with metaphor. Beginning in the 1970s and 1980s, tools drawn from sociology, feminism, and the (...) |
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(1993). Balthasar Bekker's Cartesian hermeneutics and the challenge of Spinozism. British Journal for the History of Philosophy: Vol. 1, No. 1, pp. 55-79. |
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We will examine Kepler's use of a relation between velocity and distance from a centre of circular motion. This relation plays an essential role, through a derivation in chapter 40 of the Astronomia Nova, in the presentation of the Area Law of planetary motion. Kepler transcends ancient and contemporary applications of the distance-velocity relation by connecting it with his metaphysical commitment to the causal role of the Sun. His second main innovation is to replace the astronomical models of his predecessors (...) |
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I take another look at the history of science and offer some fresh insights into why the history of science is filled with discarded theories. I argue that the history of science is just as we should expect it to be, given the following two facts about science: theories are always only partial representations of the world, and almost inevitably scientists will be led to investigate phenomena that the accepted theory is not fit to account for. Together these facts suggest (...) |
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ArgumentThe subject of the paper is the shift from an astrology-oriented astronomy towards an allegedly more objective, mathematically grounded approach to astronomy. This shift is illustrated through a close reading of Tycho Brahe's scientific development and the contemporaneous changes in his communicational strategies. Basing the argument on a substantial array of original sources it is claimed that the Danish astronomer developed a new astronomical discourse in pursuit of credibility, giving priority to observational astronomy and natural philosophical questions. The abandonment of (...) |
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In the present paper, I present and discuss some new information about the life of Paul Wittich from Wrocław, Poland (formerly Breslau, Germany), an elusive mathematician and astronomer of the late 16th century. Wittich seems to have played a significant role in the emergence of two important, though short-lived, developments of late 16th-century science: the so-called prosthaphaeresis calculating method, and the geoheliocentric model of the universe usually attributed to Tycho Brahe. His role in both achievements, however, has not been sufficiently (...) |
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I revisit an older defense of scientific realism, the methodological defense, a defense developed by both Popper and Feyerabend. The methodological defense of realism concerns the attitude of scientists, not philosophers of science. The methodological defense is as follows: a commitment to realism leads scientists to pursue the truth, which in turn is apt to put them in a better position to get at the truth. In contrast, anti-realists lack the tenacity required to develop a theory to its fullest. As (...) |
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The early dissemination of Copernicus' work and theories is an intricate and multilayered history. The reception of De revolutionibus orbium coelestium, which was the first early modern work in mathematical astronomy introducing a heliocentric planetary theory, was not purely technical. Rather, the cultural debates surrounding it were affected by physical, philosophical, ethical, and theological concerns from its inception. Georg Joachim Rheticus, who authored the first report on Copernicus' achievement, deemed it appropriate to put a call for independence of spirit on (...) |
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