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  1.  40
    The Science of Magnetism Before Gilbert Leonardo Garzoni's Treatise on the Loadstone.Monica Ugaglia - 2006 - Annals of Science 63 (1):59-84.
    Summary This paper presents the main features of the treatise on magnetism written by the Jesuit Leonardo Garzoni (1543?92). The treatise was believed to be lost, but a copy of it has been recently recovered. The treatise is briefly described and analysed. The results of a comparison between Garzoni's treatise, Della Porta's Magia Naturalis (1589), and Gilbert's De Magnete (1600) are also summarized. As claimed in the seventeenth century by Niccolò Cabeo and Niccolò Zucchi, the treatise contains quite a lot (...)
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  2.  15
    Evolution of Leibniz’s Thought in the Matter of Fictions and Infinitesimals.Monica Ugaglia & Mikhail Katz - 2024 - In Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice. Cham: Springer. pp. 341-384.
    In this chapter, we offer a reconstruction of the evolution of Leibniz’s thought concerning the problem of the infinite divisibility of bodies, the tension between actuality, unassignability, and syncategorematicity, and the closely related question of the possibility of infinitesimal quantities, both in physics and in mathematics.Some scholars have argued that syncategorematicity is a mature acquisition, to which Leibniz resorts to solve the question of his infinitesimals – namely the idea that infinitesimals are just signs for Archimedean exhaustions, and their unassignability (...)
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  3.  25
    Discussing Natural Motion: Definition of Time and Verbal Usage in Aristotle.Monica Ugaglia - 2023 - Aristotelica 4 (4):35-78.
    Aristotle posits that time, as defined by the “number of motion in respect of before and after” (_Physics_ IV 11.219b1-2), is an inherent property of motion itself rather than a prerequisite. This implies the possibility of identifying time-independent properties of natural motions. One such critical feature, crucial to understanding the basic meaning of time, is the presence of an inherent order of before and after within motion, regardless of time. The concept of a non-temporal before and after within motion is (...)
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  4.  40
    Aristotle on placing gnomons round.Monica Ugaglia & Fabio Acerbi - 2015 - Classical Quarterly 65 (2):587-608.
    The passage has been an object of scholarly debate: the lack of independent sources on the mathematical construction described by Aristotle, the terseness of the formulation and the resulting syntactical ambiguities make the exact interpretation of the text quite difficult, as already noted by Philoponus. What does it mean that the gnomons are ‘placed round the one and without’ (περὶ τὸ ἓν καὶ χωρίς)? And in what sense is this an indication of the even being ‘cut off, enclosed (ἐναπολαμβανόμενον), and (...)
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  5.  55
    Leibniz on Bodies and Infinities: Rerum Natura and Mathematical Fictions.Mikhail G. Katz, Karl Kuhlemann, David Sherry & Monica Ugaglia - 2024 - Review of Symbolic Logic 17 (1):36-66.
    The way Leibniz applied his philosophy to mathematics has been the subject of longstanding debates. A key piece of evidence is his letter to Masson on bodies. We offer an interpretation of this often misunderstood text, dealing with the status of infinite divisibility innature, rather than inmathematics. In line with this distinction, we offer a reading of the fictionality of infinitesimals. The letter has been claimed to support a reading of infinitesimals according to which they are logical fictions, contradictory in (...)
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  6.  13
    When Does a Hyperbola Meet Its Asymptote? Bounded Infinities, Fictions, and Contradictions in Leibniz.Mikhail Katz, David Sherry & Monica Ugaglia - 2023 - Revista Latinoamericana de Filosofia 49 (2):241-258.
    In his 1676 text De Quadratura Arithmetica, Leibniz distinguished infinita terminata from infinita interminata. The text also deals with the notion, originating with Desargues, of the point of intersection at infinite distance for parallel lines. We examine contrasting interpretations of these notions in the context of Leibniz’s analysis of asymptotes for logarithmic curves and hyperbolas. We point out difficulties that arise due to conflating these notions of infinity. As noted by Rodríguez Hurtado et al., a significant difference exists between the (...)
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  7.  20
    Aristotle on Uniform Circular Motion.Monica Ugaglia - 2022 - Aristotelica 2:51.
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  8.  19
    Aristotle on placing gnomons round : An addendum.Monica Ugaglia & Fabio Acerbi - 2015 - Classical Quarterly 65 (2):608-608.
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  9. Boundlessness and Iteration: Some Observations about the Meaning of άεί in Aristotle.Monica Ugaglia - 2009 - Rhizai. A Journal for Ancient Philosophy and Science (2):193-213.
    The aim of the paper is to show that the iterative (local and atemporal) meaning of the adverb ἀεί has a function of primary importance in Aristotle’s system, and that its use is strictly connected with the technical use of the same term in mathematics.
     
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  10. Existence vs. Conceivability in Aristotle: Are Straight Lines Infinitely Extendible?Monica Ugaglia - 2018 - In John Baldwin (ed.), Truth, Existence and Explanation. Springer Verlag.
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  11.  18
    Knowing by Doing: the Role of Geometrical Practice in Aristotle’s Theory of Knowledge.Monica Ugaglia - 2015 - Elenchos 36 (1):45-88.
    Aristotle’s way of conceiving the relationship between mathematics and other branches of scientific knowledge is completely different from the way a contemporary scientist conceives it. This is one of the causes of the fact that we look at the mathematical passage we find in Aristotle’s works with the wrong expectation. We expect to find more or less stringent proofs, while for the most part Aristotle employs mere analogies. Indeed, this is the primary function of mathematics when employed in a philosophical (...)
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  12.  40
    The Actuality of the Movable : a Relational Interpretation of Aristotle’s Definition of Motion.Monica Ugaglia - 2016 - Rhizomata 4 (2):225-256.
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  13.  35
    Aristotle's Empiricism: Experience and Mechanics in the 4th Century BC. [REVIEW]Monica Ugaglia - 2015 - International Studies in the Philosophy of Science 29 (1):99-101.