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Reading the Principia

https://doi.org/10.1017/cbo9780511524752
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Logic, mathematics, physics: from a loose thread to the close link: Or what gravity is for both logic and mathematics rather than only for physics
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Newton's Philosophy of Time
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Bibliography
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LETTER TO THE EDITOR
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Geometry, the Calculus and the Use of Limits in Newton’s Principia
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Introduction
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Cosmology and Theory of Weight
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“Einstein” as a Grammatical Illusion
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The Book of Genesis
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Explanations
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A History of the Binomial and Multinomial Theorems
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Newton and His System of the World
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Some Problems in the History of Modern Mathematics
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Analysis and Synthesis in Robert Simson’s The Elements of Euclid
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Further Thoughts on Anachronism: A Presentist Reading of Newton’s Principia
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An Interlude a Century and a Half Long
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Introduction
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J. M. F. Wright and Newton’s Method of First and Last Ratios
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Newton on Indivisibles
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Visual Differential Geometry and Beltrami’s Hyperbolic Plane
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Proofs and Contexts: the Debate between Bernoulli and Newton on the Mathematics of Central Force Motion
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Mathematics and Infinity in Descartes and Newton
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Description of the Most Important Elements of Leibniz’s Planetary Theory
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The Final Version of Leibniz’s Planetary Theory
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Minkowski’s “Space and Time”
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From Translation to Philosophical Discourse – Emilie du Châtelet’s Commentaries on Newton and Leibniz
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The Search for Truth
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The Mathematical Principles of God’s Design
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Symbols and suggestions: Communication of mathematics in print
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La storia della Méchanique analitique
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Robert Hooke?s Seminal Contribution to Orbital Dynamics
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Newton's Argument for Proposition 1 of the Principia
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Newton's Easy Quadratures ``Omitted for the Sake of Brevity''
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The Importance of Being Equivalent: Newton?s Two Models of One-Body Motion
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Proposition II (Book I) of Newton’s Principia
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The early application of the calculus to the inverse square force problem
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Leonhard Euler’s early lunar theories 1725–1752
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Leonhard Euler’s early lunar theories 1725–1752
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Leibniz’s syncategorematic infinitesimals
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Orbital motion and force in Newton’s $$\textit{Principia}$$ Principia ; the equivalence of the descriptions in Propositions 1 and 6
inferred← citeshttps://doi.org/10.1007/s00407-015-0170-zopenalex-snapshot
Lost in translation? Reading Newton on inverse-cube trajectories
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“A masterly though neglected work”, Boscovich’s treatise on conic sections
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The Principia’s second law (as Newton understood it) from Galileo to Laplace
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Borelli’s edition of books V–VII of Apollonius’s Conics, and Lemma 12 in Newton’s Principia
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The Integrability of Ovals: Newton's Lemma 28 and Its Counterexamples
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The Argument(s) for Universal Gravitation
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Algebraic Collisions
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Conceptual Frameworks on the Relationship Between Physics–Mathematics in the Newton Principia Geneva Edition (1822)
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Reading Newton’s Principia through Euclidean Proportion and Nonstandard Analysis
inferred← citeshttps://doi.org/10.1007/s11229-011-9983-8openalex-snapshot
The mathematical form of measurement and the argument for Proposition I in Newton’s Principia
inferred← citeshttps://doi.org/10.1007/s11229-014-0568-1openalex-snapshot
Explanation and the dimensionality of space
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Mathematical hygiene
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Histories of mathematical practice: reconstruction, genealogy, and the unruly pasts of ruly knowledge
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Edmond Halley and Apollonius: second-order historical knowledge in mathematics education
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The history of the Méchanique analitique
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Isaac Newton, Robert Simson and Adam Smith
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The Event Calculus
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An Ocean of Truth
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Isaac Newton, Philosophiae naturalis principia mathematica, first edition (1687)
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Commonsense Reasoning: An Event Calculus Based Approach
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Infinitesimals in the foundations of Newton's mechanics
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Force, deflection, and time: Proposition VI of Newton's Principia
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Newton’s attempt to construct a unitary view of mathematics
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Euler and the structure of mathematics
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Isaac Newton and the publication of his mathematical manuscripts
inferred← citeshttps://doi.org/10.1016/j.shpsa.2004.06.003openalex-snapshot
Newtonianism in early Enlightenment Germany, c. 1720 to 1750: metaphysics and the critique of dogmatic philosophy
inferred← citeshttps://doi.org/10.1016/j.shpsa.2004.06.006openalex-snapshot
Early eighteenth-century Newtonianism: the Huguenot contribution
inferred← citeshttps://doi.org/10.1016/j.shpsa.2004.06.007openalex-snapshot
Isaac Newton and Augustan Anglo-Latin poetry
inferred← citeshttps://doi.org/10.1016/s0039-3681(01)00009-7openalex-snapshot
Analytical symbols and geometrical figures in eighteenth-century calculus
inferred← citeshttps://doi.org/10.1016/s0315-0860(02)00027-7openalex-snapshot
Kepler's area law in the Principia: filling in some details in Newton's proof of Proposition 1
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Conceptualism and contextualism in the recent historiography of Newton's Principia
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Science in the Scottish Enlightenment
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Newton as Philosopher
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Literature, Language, and the Rise of the Intellectual Disciplines in Britain, 1680–1820
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From velocities to fluxions
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Histories of natural philosophy I. Histories of method
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The Cambridge Companion to Newton
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Introduction
inferred← citeshttps://doi.org/10.1017/cco9781139058568.003openalex-snapshot
Newton's philosophical analysis of space and time
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Newton's concepts of force and mass, with notes on the laws of motion
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Instantaneous impulse and continuous force: the foundations of Newton'sPrincipia
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The methodology of thePrincipia
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Newton's argument for universal gravitation
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Newton and celestial mechanics
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Newton's optics and atomism
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Newton's metaphysics
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A brief introduction to the mathematical work of Isaac Newton
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Newton, active powers, and the mechanical philosophy
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A preliminary reassessment of Newton's alchemy
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The religion of Isaac Newton
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Isaac Newton, historian
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Newton and eighteenth-century Christianity
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Newton and the Leibniz–Clarke correspondence
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Bibliography
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Success and failure in Newton's lunar theory
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Mathematical models in Newton's Principia : A new view of the ‘Newtonian Style’
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God and Boscovich’s Demon
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Philosophy of religion and two types of atheology
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‘There are great alterations in the geometry of late’. The rise of Isaac Newton’s early Scottish circle
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Introducing differential calculus in Spain: The fluxion of the product and the quadrature of curves by Tomàs Cerdà
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Proving the Binomial Theorem in Britain, 1750–1830
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Competing to Popularize Newtonian Philosophy
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The War on NewtonJ. B. Shank.The Newton Wars and the Beginning of the Enlightenment. xv + 571 pp., illus., bibl., index. Chicago/London: University of Chicago Press, 2008.
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Reading Galileo’s Discorsi in the Early Modern University
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Varieties of mathematical understanding
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The Emergence of a Scientific Culture
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Copyright Page
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Preface
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Introduction
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Science and Modernity
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Augustinian Synthesis to Aristotelian Amalgam
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Renaissance Natural Philosophies
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The Interpretation of Nature and the Origins of Physico‐Theology
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Reconstructing Natural Philosophy
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Reconstructing the Natural Philosopher
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The Aims of Enquiry
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Corpuscularianism and the Rise of Mechanism
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The Scope of Mechanism
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Experimental Natural Philosophy
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The Quantitative Transformation of Natural Philosophy
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The Unity of Knowledge
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Conclusion
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Newton's real influence on Adam Smith and its context
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Isaac Newton
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The physics–mathematics interplay in Newton Principia Geneva Edition (1822): a new case study on the three-body problem, Proposition LXVI–Theorem XXVI
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French Newtonianism
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The early rise and spread of evolutionary game theory: perspectives based on recollections of early workers
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The Reception of Newton's Gravitational Theory by Huygens, Varignon, and Maupertuis: How Normal Science may be Revolutionary
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Discussing Tides Before and After Newton: Roger Joseph Boscovich’sDe aestu maris
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Newton's Training in the Aristotelian Textbook Tradition: From Effects to Causes and Back
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De Moivre as Teacher
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The Two Thomases
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Reading Milton and Newton in the Radical Reformation: Poetry, Mathematics, and Religion
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Publishers and Gendered Readership in English-Language Editions of Il Newtonianismo per le Dame
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Geometría del movimiento: algunos elementos de su desarrollo histórico
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El sacramento olvidado: la confirmación en la archidiócesis de Santiago, fines del XVI a 1833
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On the invisibility and impact of Robert Hooke’s theory of gravitation
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Das velocidades às fluxões
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A dinâmica na geometria (O cálculo da força centrífuga feito por Huygens)
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Método versus Cálculo en las críticas de Newton a Descartes y Leibniz
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ADAM SMITH ON THE PROCESS OF CIVILIZATION AND THE ROLE OF COUNTERFACTUAL REASONING
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Exploring Newton and Leibniz’s Intuition and Heuristic Pedagogy on the Fundamental Theorem of Calculus
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Obraz natury w kulturze intelektualnej, literackiej i artystycznej doby staropolskiej
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Science, Metaphysics, and the Hand of God: the case of Thomas Reid
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Two Pious Newtonians on the Concept of Gravity: Why Andrew Baxter and Colin Maclaurin Disagreed about Divine Causation and the Limits of the Mind
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Method versus calculus in Newton’s criticisms of Descartes and Leibniz
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Euler, Reader of Newton: Mechanics and Algebraic Analysis
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On the Jesuit Edition of Newton’s Principia. Science and Advanced Researches in the Western Civilization
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Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy
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Newtonova metodologie a kritika mechanického materialismu
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Kepler's Area Law in the Principia: Filling in some details in Newton's proof of Prop. 1
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Entre 'Schulphilosophie' y Ciencia Moderna. La filosofía de Christian Wolff
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Galileo’s Parabola Observed from Pappus’ Directrix, Apollonius’ Pedal Curve (Line), Galileo’s Empty Focus, Newton’s Evolute, Leibniz’s Subtangent and Subnormal, Ptolemy’s Circle (Hodograph), and Dürer-Simon Parabola (16.03.2019)
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Squeezing of the Super-Elastic Double-Helix Photon in the Gravitational Field (Hidden in Very-Well Known Old Formulae). Pound - Rebka - Snider Effect Studied by the Advanced LIGO Instrument, Pioneer Anomaly and CMB (Cosmic Microwave Background) (23.11.201
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De la précision dans la mesure du temps à la théorie de la gravitation universelle (1630-1740)
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Of words and numbers : The writing of generality in the emergence of enumerative geometry (1852-1893)
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Le pli : Deleuze entre Leibniz et le Baroque
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Les représentations en mathématiques
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A French Jesuit in the Royal Society of London: Father Louis-Bertrand de Castel, S.J. and Enlightenment Mathematics, 1720-1735
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