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Hölder, Mach, and the Law of the Lever: A Case of Well-founded Non-controversy

Oliver Schlaudt

Philosophia Scientiae 17 (1):93-116 (2013)

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The empirical basis of equilibrium: Mach, Vailati, and the lever.Paolo Palmieri - 2008 - Studies in History and Philosophy of Science Part A 39 (1):42-53.details About a century ago, Ernst Mach argued that Archimedes’s deduction of the principle of the lever is invalid, since its premises contain the conclusion to be demonstrated. Subsequently, many scholars defended Archimedes, mostly on historical grounds, by raising objections to Mach’s reconstruction of Archimedes’s deduction. In the debate, the Italian philosopher and historian of science Giovanni Vailati stood out. Vailati responded to Mach with an analysis of Archimedes’s deduction which was later quoted and praised by Mach himself. In this paper, (...) Download Export citation Bookmark 5 citations
Method Instead of Epistemology and Philosophy of Science.Hugo Dingler - 1988 - Science in Context 2 (2):369-408.details The peculiar situation of epistemology has often been remarked upon, meaning that sort of epistemology which issued from English empiricism and whose father is taken to be John Locke. Epistemology in the general sense has existed as long as there has been scientific philosophy, and in truth it has always formed the basis and core of all scientific philosophizing. Download Export citation Bookmark 1 citation
The epistemological virtues of assumptions: towards a coming of age of Boltzmann and Meinong’s objections to ‘the prejudice in favour of the actual’?Nadine de Courtenay - 2010 - Studies in History and Philosophy of Science Part A 41 (1):41-57.details Two complementary debates of the turn of the nineteenth and twentieth century are examined here: the debate on the legitimacy of hypotheses in the natural sciences and the debate on intentionality and ‘representations without object’ in philosophy. Both are shown to rest on two core issues: the attitude of the subject and the mode of presentation chosen to display a domain of phenomena. An orientation other than the one which contributed to shape twentieth-century philosophy of science is explored through the (...) Download Export citation Bookmark 5 citations
On the epistemological foundations of the law of the lever.Maarten Van Dyck - 2009 - Studies in History and Philosophy of Science Part A 40 (3):315-318.details In this paper I challenge Paolo Palmieri’s reading of the Mach-Vailati debate on Archimedes’s proof of the law of the lever. I argue that the actual import of the debate concerns the possible epistemic (as opposed to merely pragmatic) role of mathematical arguments in empirical physics, and that construed in this light Vailati carries the upper hand. This claim is defended by showing that Archimedes’s proof of the law of the lever is not a way of appealing to a non-empirical (...) Download Export citation Bookmark 2 citations
The Principle of Least Action.Philip E. B. Jourdain - 1912 - The Monist 22 (2):285-304.details Download Export citation Bookmark 4 citations
Archimedes und die Protophysik.H. Beisenherz - 1980 - Philosophia Naturalis 18:438-478.details Download Export citation Bookmark 4 citations

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