Katherine Brading’s research while affiliated with Duke University and other places

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Publications (57)


Philosophical Mechanics in the Age of Reason
  • Book

February 2024

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45 Reads

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5 Citations

Katherine Brading

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Philosophical Mechanics in the Age of Reason argues that the Enlightenment was a golden age for the philosophy of material bodies, and for efforts to integrate coherently a philosophical concept of body with a mathematized theory of mechanics. Thereby, it articulates a new framing for the history of 18th century philosophy and science. It explains why, more than a century after Newton, physics broke away from philosophy to become an autonomous domain. And it casts fresh light on the structure and foundations of classical mechanics. Among the figures studied are Malebranche, Leibniz, Du Châtelet, Boscovich, and Kant, alongside d’Alembert, Euler, Lagrange, Laplace, and Cauchy.


Building bodies: Euler and impressed force mechanics

January 2024

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3 Reads

Philosophical Mechanics in the Age of Reason argues that the Enlightenment was a golden age for the philosophy of material bodies, and for efforts to integrate coherently a philosophical concept of body with a mathematized theory of mechanics. Thereby, it articulates a new framing for the history of 18th century philosophy and science. It explains why, more than a century after Newton, physics broke away from philosophy to become an autonomous domain. And it casts fresh light on the structure and foundations of classical mechanics. Among the figures studied are Malebranche, Leibniz, Du Châtelet, Boscovich, and Kant, alongside d’Alembert, Euler, Lagrange, Laplace, and Cauchy.


Constructive and principle approaches in d’Almbert’s Treatise

January 2024

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2 Reads

Philosophical Mechanics in the Age of Reason argues that the Enlightenment was a golden age for the philosophy of material bodies, and for efforts to integrate coherently a philosophical concept of body with a mathematized theory of mechanics. Thereby, it articulates a new framing for the history of 18th century philosophy and science. It explains why, more than a century after Newton, physics broke away from philosophy to become an autonomous domain. And it casts fresh light on the structure and foundations of classical mechanics. Among the figures studied are Malebranche, Leibniz, Du Châtelet, Boscovich, and Kant, alongside d’Alembert, Euler, Lagrange, Laplace, and Cauchy.


Malebranche and the Cartesian foundations of natural philosophy

January 2024

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2 Reads

Philosophical Mechanics in the Age of Reason argues that the Enlightenment was a golden age for the philosophy of material bodies, and for efforts to integrate coherently a philosophical concept of body with a mathematized theory of mechanics. Thereby, it articulates a new framing for the history of 18th century philosophy and science. It explains why, more than a century after Newton, physics broke away from philosophy to become an autonomous domain. And it casts fresh light on the structure and foundations of classical mechanics. Among the figures studied are Malebranche, Leibniz, Du Châtelet, Boscovich, and Kant, alongside d’Alembert, Euler, Lagrange, Laplace, and Cauchy.


The Problem of Bodies

January 2024

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7 Reads

Philosophical Mechanics in the Age of Reason argues that the Enlightenment was a golden age for the philosophy of material bodies, and for efforts to integrate coherently a philosophical concept of body with a mathematized theory of mechanics. Thereby, it articulates a new framing for the history of 18th century philosophy and science. It explains why, more than a century after Newton, physics broke away from philosophy to become an autonomous domain. And it casts fresh light on the structure and foundations of classical mechanics. Among the figures studied are Malebranche, Leibniz, Du Châtelet, Boscovich, and Kant, alongside d’Alembert, Euler, Lagrange, Laplace, and Cauchy.


Dedication

January 2024

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1 Read

Philosophical Mechanics in the Age of Reason argues that the Enlightenment was a golden age for the philosophy of material bodies, and for efforts to integrate coherently a philosophical concept of body with a mathematized theory of mechanics. Thereby, it articulates a new framing for the history of 18th century philosophy and science. It explains why, more than a century after Newton, physics broke away from philosophy to become an autonomous domain. And it casts fresh light on the structure and foundations of classical mechanics. Among the figures studied are Malebranche, Leibniz, Du Châtelet, Boscovich, and Kant, alongside d’Alembert, Euler, Lagrange, Laplace, and Cauchy.


Searching for a new physics: Kant and Boscovich

January 2024

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7 Reads

Philosophical Mechanics in the Age of Reason argues that the Enlightenment was a golden age for the philosophy of material bodies, and for efforts to integrate coherently a philosophical concept of body with a mathematized theory of mechanics. Thereby, it articulates a new framing for the history of 18th century philosophy and science. It explains why, more than a century after Newton, physics broke away from philosophy to become an autonomous domain. And it casts fresh light on the structure and foundations of classical mechanics. Among the figures studied are Malebranche, Leibniz, Du Châtelet, Boscovich, and Kant, alongside d’Alembert, Euler, Lagrange, Laplace, and Cauchy.


Copyright Page

January 2024

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1 Read

Philosophical Mechanics in the Age of Reason argues that the Enlightenment was a golden age for the philosophy of material bodies, and for efforts to integrate coherently a philosophical concept of body with a mathematized theory of mechanics. Thereby, it articulates a new framing for the history of 18th century philosophy and science. It explains why, more than a century after Newton, physics broke away from philosophy to become an autonomous domain. And it casts fresh light on the structure and foundations of classical mechanics. Among the figures studied are Malebranche, Leibniz, Du Châtelet, Boscovich, and Kant, alongside d’Alembert, Euler, Lagrange, Laplace, and Cauchy.


Early work in the rational mechanics of constrained motion

January 2024

Philosophical Mechanics in the Age of Reason argues that the Enlightenment was a golden age for the philosophy of material bodies, and for efforts to integrate coherently a philosophical concept of body with a mathematized theory of mechanics. Thereby, it articulates a new framing for the history of 18th century philosophy and science. It explains why, more than a century after Newton, physics broke away from philosophy to become an autonomous domain. And it casts fresh light on the structure and foundations of classical mechanics. Among the figures studied are Malebranche, Leibniz, Du Châtelet, Boscovich, and Kant, alongside d’Alembert, Euler, Lagrange, Laplace, and Cauchy.


Beyond Newton and Leibniz: Bodies in collision

January 2024

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4 Reads

Philosophical Mechanics in the Age of Reason argues that the Enlightenment was a golden age for the philosophy of material bodies, and for efforts to integrate coherently a philosophical concept of body with a mathematized theory of mechanics. Thereby, it articulates a new framing for the history of 18th century philosophy and science. It explains why, more than a century after Newton, physics broke away from philosophy to become an autonomous domain. And it casts fresh light on the structure and foundations of classical mechanics. Among the figures studied are Malebranche, Leibniz, Du Châtelet, Boscovich, and Kant, alongside d’Alembert, Euler, Lagrange, Laplace, and Cauchy.


Citations (25)


... Within France this research program became extremely influential, and some notable successes were achieved. However, there was no complete agreement on the properties of these molecules, which were often seen as point particles but sometimes as having a certain extension; and despite the fact that the explicit aim of this program was to reduce all natural phenomena to the motion of molecules, in practice even the Laplacians found it more convenient to treat matter as continuous in some of their calculations (Brading & Stan 2024). 2 After a brief period of great success, Laplace's program collapsed between 1815 and 1825, and most physicists came to agree that its ontology of point particles was too restrictive to account for all natural phenomena (Fox 1974). ...

Reference:

When matter ceased to matter: The disappearance of the philosophical problem of matter from physics in the late nineteenth century
Philosophical Mechanics in the Age of Reason
  • Citing Book
  • February 2024

... So, the integers with addition is homomorphic to the even integers with addition. 4 An isomorphism is just a special type of homomorphism, with two special constraints. The map φ must also be what's called one-to-one and onto. ...

How physics flew the philosophers' nest
  • Citing Article
  • August 2021

Studies in History and Philosophy of Science Part A

... That very same Lagrangian could also be written in terms of a vector-valued field = φ 1 φ 2 . Or the Lagrangian (1) could be written in terms of a complex field ψ = φ 1 + iφ 2 that has a U (1) symmetry we can ally with a conserved "charge" q implementing a representation θ → ex p(−iqθ) of U (1) on the space C of field states (see Brading & Brown, 2003 for more about how Noether's theorem connects symmetries and properties). I could keep going, but we have enough ways to write the Lagrangian (1) to illustrate "changes of ontological basis." ...

Symmetries and Noether's theorems
  • Citing Chapter
  • December 2003

... He addresses the indeterminism of Einstein's equations, and also refers to Einstein (1914), but does not explicitly relate his analysis to the Lochbetrachtung. See also Howard and Norton (1993) and Brading and Ryckman (2018). For some history of the pde approach to gr see Stachel (1992), Choquet-Bruhat (2014), and Ringström (2015), summarized in Landsman (2021), §1.9. ...

Hilbert on General Covariance and Causality
  • Citing Chapter
  • June 2018

... В конечном счете неореализм в авторской трактовке Уолтца, скорее, сблизился с этой версией. Во втором случае мы имеем дело с той точкой зрения, впервые высказанной, вероятно, французским математиком и физиком Анри Пуанкаре [10], что людям доступно некоторое знание реально существующего, но ненаблюдаемого ими мира, касающееся взаимоотношений WORLD ECONOMY AND INTERNATIONAL RELATIONS 2022 vol. 66 no. 8 ...

Epistemic Structural Realism and Poincaré’s Philosophy of Science
  • Citing Article
  • March 2017

HOPOS The Journal of the International Society for the History of Philosophy of Science

... 10 For different views, and for Newton's distinctions of space and time 'into absolute and relative, true and apparent, mathematical and common', see Huggett (2012) and Schliesser (2013). Brading (2017), analysing Newton's treatment of time, shows how to read the Principia as a contribution to the philosophy of time. I thank an anonymous referee for bringing these works to my attention. ...

Time for empiricist metaphysics
  • Citing Article
  • June 2016

... Kognitiivisen prosessin kerrok sellisuus toimii avaimena sen ym märtämiseksi, miksi intersubjek tiivisuus ja invarianssi on nähty objektiivisen todellisuuden havait semisen välttämättömänä ehtona Paul Diracin, Gottfried Leibnizin, Eino Kailan, Robert Nozickin, Henri Poincarén ja Hermann Weylin ajattelussa (Brading & Crull, 2017;Heinzmann & Stump, 2021;Jacobs, 2021;Ladyman, 2023;MøllerNielsen, 2017;Neu ber, 2012). Tämä perustuu siihen, että intersubjektiivisesti jaettuun todellisuuden luonnetta koske vaan käsitykseen (representaatio) on mahdotonta päätyä subjektii visen kokemuksen tasolta käsin, koska subjektiivisten konstituu tioiden (appearances) olemusta on mahdotonta intersubjektiivisesti varmistaa (ks. ...

Epistemic Structural Realism and Poincare's Philosophy of Science
  • Citing Article
  • November 2013

... Analogously, scientific theories can be characterized as a collection of models sharing a common structure. For discussion on the different kinds of scientific structuralism and its problems, see Van Fraassen(2007);Brading and Landry (2006);Lorenzano (2013). 2 More in-depth discussions about Hesse's proposals can be found inHelman (1988).French (2017) introduced a virtual issue of the British Journal for the Philosophy of Science on the work of Mary Hesse. Another important reference for the discussion of the work of Mary Hesse is the special issue: Philosophical Inquiry (3)1 (2015), which discusses the work of Hesse on the question of how to understand the cognitive role of metaphors.Rentetzi (2005) elaborates on Hesse's view on explanation and shows the relevance of this proposal for contemporary discussions on models of explanation. ...

Scientific Structuralism: Presentation and Representation
  • Citing Article
  • December 2006

Philosophy of Science

... Since situations A and B do not share as a hypothesis relevant properties, on what ground could we establish the system identity? If the identity of an entity depends upon the laws it obeys, as Newton argued (Brading 2013), this path is closed. In order to claim a continuity of the system identity, we need to disentangle between what it means to be such and such system and what it means to be a subject of a law. ...

Three principles of unity in Newton
  • Citing Article
  • September 2013

Studies in History and Philosophy of Science Part A