Below you may find selected published research outputs from members of the Mathematics, Philosophy and Physics (MPP) Program in the Schmid College of Science and Technology.

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Submissions from 2024

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Gastronomical Platonism, Marco Panza

Submissions from 2023

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Many Infinities, or Only One?, Giovanna Giardina, Marco Panza, and Daniele C. Struppa

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Platonism, De Re, and (Philosophy of) Mathematical Practice, Marco Panza

Submissions from 2022

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A Question of Fundamental Methodology: Reply to Mikhail Katz and His Coauthors, Tom Archibald, Richard T. W. Arthur, Giovanni Ferraro, Jeremy Gray, Douglas Jesseph, Jesper Lützen, Marco Panza, David Rabouin, and Gert Schubring

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L’applicabilité des Mathématiques, Daniele Molinini and Marco Panza

Submissions from 2021

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Frege’s Theory of Real Numbers: A Consistent Rendering, Francesca Boccuni and Marco Panza

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The Agnostic Structure of Data Science Methods, Domenico Napoletani, Marco Panza, and Daniele Struppa

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Analysis, Constructions and Diagrams in Classical Geometry, Marco Panza

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Qué podría haber sido la universalidad para Euclides, Marco Panza

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Diagrams in Intra-Configurational Analysis, Marco Panza and Gianluca Longa

Submissions from 2020

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Geometry and Identity Theorems for Bicomplex Functions and Functions of a Hyperbolic Variable, Maria Elena Luna-Elizarrarás, Marco Panza, Michael Shapiro, and Daniele Carlo Struppa

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Measure and Continuity in Aristotle’s Physics V,3 (and Neighbourhoods), Marco Panza

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Note sull’evoluzione delle nozioni di continuità e di continuo in matematica, Marco Panza

Submissions from 2018

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Asymptotic Quasi-completeness and ZFC, Mirna Džamonja and Marco Panza

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Enthymemathical Proofs and Canonical Proofs in Euclid’s Plane Geometry, Abel Lassalle and Marco Panza

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Review of G. Israel, Meccanicismo. Trionfi e miserie della visione meccanica del mondo, Marco Panza

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Was Frege a Logicist for Arithmetic?, Marco Panza

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Frege's Constraint and the Nature of Frege's Foundational Program, Marco Panza and Andrea Sereni

Books from 2017

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Forcing Optimality and Brandt's Principle, Domenico Napoletani, Marco Panza, and Daniele C. Struppa

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Euler’s Introductio in analysin infinitorum and the Program of Algebraic Analysis: Quantities, Functions and Numerical Partitions, Marco Panza

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On Benacerraf’s Dilemma, Again, Marco Panza

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Platonismes, Marco Panza

Submissions from 2016

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Abstraction and Epistemic Economy, Marco Panza

Submissions from 2015

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The Logical System of Frege’s Grundgesetze : A Rational Reconstruction, Méven Cadet and Marco Panza

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Newton on Indivisibles, Antoni Malet and Marco Panza

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Wallis on Indivisibles, Antoni Malet and Marco Panza

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«“Una stessa cosa”». Come intendere la definizione della continuità di Aristiotele, Marco Panza

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Pruebas entimemáticas y pruebas canónicas en la geometría plana de Euclides, Marco Panza and Abel Lassalle Casanave

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The Varieties of Indispensability Arguments, Marco Panza and Andrea Sereni

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Introduction to Functions and Generality of Logic. Reflections on Frege's and Dedekind's Logicisms, Hourya Benis Sinaceur, Marco Panza, and Gabriel Sandu

Submissions from 2014

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Euler, Reader of Newton: Mechanics and Algebraic Analysis, Sébastien Maronne and Marco Panza

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Is Big Data Enough? A Reflection on the Changing Role of Mathematics in Applications, Domenico Napoletani, Marco Panza, and Daniele C. Struppa

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On the Indispensable Premises of the Indispensability Argument, Andrea Sereni and Marco Panza

Submissions from 2012

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Sobre el Significado del Postulado 2 de los Elementos, Abel Lassalle-Casanave and Marco Panza

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From Velocities to Fluxions, Marco Panza

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The Twofold Role of Diagrams in Euclid’s Plane Geometry, Marco Panza

Submissions from 2011

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Lagrange's Theory of Analytical Functions and His Ideal of Purity of Method, Giovanni Ferraro and Marco Panza

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Diagrammatic Reasoning in Mathematics, John Mumma and Marco Panza

Submissions from 2010

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Agnostic Science. Towards a Philosophy of Data Analysis, Domenico Napoletani, Marco Panza, and Daniele C. Struppa

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Breathing Fresh Air into the Philosophy of Mathematics, Marco Panza

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Is the Notion of Mathematical Object an Historical Notion?, Marco Panza

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Rethinking Geometrical Exactness, Marco Panza

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What More There Is in Early-Modern Algebra than its Literal Formalism, Marco Panza

Submissions from 2008

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Isaac Barrow and the Bounds of Geometry, Marco Panza

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The Role of Algebraic Inferences in Naîm ibn Mûsa’s Collection of Geometrical Propositions, Marco Panza

Submissions from 2007

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Nombres. Eléments de mathématiques pour philosophes, Marco Panza

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What is New and What is Old in Viète's Analysis restituita and algebra nova, and Where Do They Come From? Some Reflections on the Relations Between Algebra and Analysis Before Viète, Marco Panza

Submissions from 2006

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The Origins of Algebra : From al-Khwarizmi to Descartes. International Workshop held at Bercelona, 27-29 March 2003, Antoni Malet and Marco Panza

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François Viète, Between Analysis and Cryptanalysis, Marco Panza

Submissions from 2005

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Some Sober Conceptions of Mathematical Truth, Marco Panza

Submissions from 2003

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Developing into Series and Returning from Series: A Note on the Foundations of Eighteenth-Century Analysis, Giovanni Ferraro and Marco Panza

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À l’origine des théories mathématiques, Marco Panza

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The Origins of Analytical Mechanics in 18th Century, Marco Panza

Submissions from 2002

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Mathematisation of the Science of Motion and the Birth of Analytical Mechanics : A Historiographical Note, Marco Panza

Submissions from 2001

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I metodi matematici nelle scienze umane, Marco Panza

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La révolution scientifique, les révolutions, et l'histoire des sciences. Comment Ernest Coumet nous a libérés de l'héritage d'Alexandre Koyré, Marco Panza

Submissions from 1995

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De la Nature épargnante aux forces généreuses. Le principe de moindre action entre mathématiques et métaphysique : Maupertuis et Euler (1740-1751), Marco Panza

Submissions from 1991

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Eliminare il tempo : Newton, Lagrange e il problema inverso del moto resistente, Marco Panza

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The Analytical Foundation of Mechanics of Discrete Systems in Lagrange's Théorie des fonctions analytiques, Compared with Lagrange's Earlier Treatments of This Topic, Marco Panza