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  1. Marco Panza (forthcoming). Classical Sources for the Concepts of Analysis and Synthesis. Boston Studies in the Philosophy of Science.
     
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  2. Domenico Napoletani, Marco Panza & Daniele C. Struppa (2013). Artificial Diamonds Are Still Diamonds. Foundations of Science 18 (3):591-594.
    As a reply to the commentary (Lenhard in Found Sci, 2012), we stress here that structural understanding of data analysis techniques is the natural counterpart to the lack of understanding of phenomena in agnostic science. We suggest moreover that the dynamics of computational processes, and their parallels with the dynamics of natural processes, will increasingly be, possibly, the driving force of the development of data analysis.
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  3. Domenico Napoletani, Marco Panza & Daniele C. Struppa (2013). Processes Rather Than Descriptions? Foundations of Science 18 (3):587-590.
    As a reply to the commentary (Humphreys in Found Sci, 2012), we explore the methodological implications of seeing artificial neural networks as generic classification tools, we show in which sense the use of descriptions and models in data analysis is not equivalent to the original empirical use of epicycles in describing planetary motion, and we argue that agnostic science is essentially related to the type of problems we ask about a phenomenon and to the processes used to find answers.
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  4. Marco Panza (2013). Pluralité de l'Algèbre À la Renaissance. [REVIEW] Isis 104:838-839.
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  5. Marco Panza (2013). Plato's Problem: An Introduction to Mathematical Platonism. Palgrave Macmillan.
  6. John Mumma & Marco Panza (2012). Diagrams in Mathematics: History and Philosophy. Synthese 186 (1):1-5.
    Diagrams are ubiquitous in mathematics. From the most elementary class to the most advanced seminar, in both introductory textbooks and professional journals, diagrams are present, to introduce concepts, increase understanding, and prove results. They thus fulfill a variety of important roles in mathematical practice. Long overlooked by philosophers focused on foundational and ontological issues, these roles have come to receive attention in the past two decades, a trend in line with the growing philosophical interest in actual mathematical practice.
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  7. Marco Panza (2012). The Twofold Role of Diagrams in Euclid's Plane Geometry. Synthese 186 (1):55-102.
    Proposition I.1 is, by far, the most popular example used to justify the thesis that many of Euclid’s geometric arguments are diagram-based. Many scholars have recently articulated this thesis in different ways and argued for it. My purpose is to reformulate it in a quite general way, by describing what I take to be the twofold role that diagrams play in Euclid’s plane geometry (EPG). Euclid’s arguments are object-dependent. They are about geometric objects. Hence, they cannot be diagram-based unless diagrams (...)
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  8. Marco Panza (2011). Breathing Fresh Air Into the Philosophy of Mathematics. Metascience 20 (3):495-500.
    Breathing fresh air into the philosophy of mathematics Content Type Journal Article DOI 10.1007/s11016-010-9470-8 Authors Marco Panza, IHPST, 13, rue du Four, 75006 Paris, France Journal Metascience Online ISSN 1467-9981 Print ISSN 0815-0796.
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  9. Marco Panza, From Lagrange to Frege: Functions and Expressions.
    Both Frege's Grundgesetze, and Lagrange's treatises on analytical functions pursue a foundational purpose. Still, the former's program is not only crucially different from the latter's. It also depends on a different idea of what foundation of mathematics should be like . Despite this contrast, the notion of function plays similar roles in their respective programs. The purpose of my paper is emphasising this similarity. In doing it, I hope to contribute to a better understanding of Frege's logicism, especially in relation (...)
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  10. Marco Panza (2010). Das velocidades às fluxões. Scientiae Studia 8 (4):509-546.
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  11. Marco Panza & Andrea Sereni (2010). Il Problema di Platone: Un'introduzione Storica Alla Filosofia Della Matematica. Carocci.
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  12. Marco Panza (2008). Joseph Louis Lagrange. In T. Gowers (ed.), Princeton Companion to Mathematics. Princeton University Press. 751--752.
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  13. Marco Panza (2008). The Role of Algebraic Inferences in Na'īm Ibn Mūsā's Collection of Geometrical Propositions. Arabic Sciences and Philosophy 18 (2):165-191.
    Nam ibn M recently edited and translated in French by Roshdi Rashed and Christian Houzel bit ibn Qurras treatise is its large use of a form of inferences that can be said in a sense that will be explained. They occur both in proofs of theorems and in solutions of problems. In the latter case, they enter different sorts of problematic analyses that are mainly used to reduce the geometrical problems they are concerned with to al-Khw’s equations.
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  14. Marco Panza (2006). François Viète: Between Analysis and Cryptanalysis. Studies in History and Philosophy of Science Part A 37 (2):269-289.
    François Viète is considered the father both of modern algebra and of modern cryptanalysis. The paper outlines Viète’s major contributions in these two mathematical fields and argues that, despite an obvious parallel between them, there is an essential difference. Viète’s ‘new algebra’ relies on his reform of the classical method of analysis and synthesis, in particular on a new conception of analysis and the introduction of a new formalism. The procedures he suggests to decrypt coded messages are particular forms of (...)
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  15. Marco Panza (2003). Mathematical Proofs. Synthese 134 (1-2):119 - 158.
    The aim I am pursuing here is to describe some general aspects of mathematical proofs. In my view, a mathematical proof is a warrant to assert a non-tautological statement which claims that certain objects (possibly a certain object) enjoy a certain property. Because it is proved, such a statement is a mathematical theorem. In my view, in order to understand the nature of a mathematical proof it is necessary to understand the nature of mathematical objects. If we understand them as (...)
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  16. Michael Otte, Marco Panza & I. Grattan-Guinness (1998). Reviews: Mathematics and Logic-Analysis and Synthesis in Mathematics. History and Philosophy. [REVIEW] Annals of Science 55 (4):436-437.
     
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  17. Michael Otte & Marco Panza (eds.) (1997). Analysis and Synthesis in Mathematics,. Kluwer.
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  18. Michael Otte & Marco Panza (1997). Analysis and Synthesis in Mathematics History and Philosophy.
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  19. Marco Panza (1995). De la Nature Épargnante aux Forces Généreuses: Le Principe de Moindre Action Entre Mathématiques Et Métaphysique. Maupertuis Et Euler, 1740-1751/From Nature That Economizes to Generous Forces: The Principle of Least Action Between Mathematics and Metaphysics, Maupertuis and Euler, 1740-1751. [REVIEW] Revue d'Histoire des Sciences 48 (4):435-520.
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  20. Marco Panza (1995). From Nature That Economizes to Generous Forces: The Principle of Least Action Between Mathematics and Metaphysics, Maupertuis and Euler, 1740-1751. [REVIEW] Revue d'Histoire des Sciences 48 (4):435-520.
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  21. Marco Panza & Jean-Claude Pont (1995). Les Savants Et l''epist'emologie Vers la Fin du Xixe Siáecle.
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  22. Marco Panza & Clara Silvia Roero (eds.) (1995). Geometria, Flussioni E Differenziali. La Città Del Sole.
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  23. Marco Panza & J. Salanskis (1995). L'objectivité Mathématique Platonismes Et Structures Formelles. Monograph Collection (Matt - Pseudo).
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  24. Marco Panza (1992). La Forma Della Quantitáa Analisi Algebrica E Analisi Superiore : Il Problema Dell'unitáa Della Matematica Nel Secolo Dell'illuminismo = la Forme de la Quantit'e : Analyse Alg'ebrique Et Analyse Sup'erieure : Le Probláeme de l'Unit'e des Math'ematiques Dans le Siáecle des Lumiáeres. Sociâetâe Franðcaise d'Histoire des Sciences Et des Techniques Diffusion Belin.
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  25. Marco Panza & Jean-Claude Pont (1992). Espace Et Horizon de Réalité Philosophie Mathématique de Ferdinand Gonseth. Monograph Collection (Matt - Pseudo).
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  26. Marco Panza (1986). Publications de la SMF. History of Science 24:125-144.
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