## 7 Citations

Some Remarks on the Foundations of Quantum Theory

- Philosophy, PhysicsThe British Journal for the Philosophy of Science
- 2005

Although many physicists have little interest in philosophical arguments about their subject, an analysis of debates about the paradoxes of quantum mechanics shows that their disagreements often…

A Defence of Mathematical Pluralism

- Philosophy
- 2005

We approach the philosophy of mathematics via an analysis of mathematics as it is practised. This leads us to a classification in terms of four concepts, which we define and illustrate with a variety…

Pluralism in mathematics

- MathematicsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2005

We defend pluralism in mathematics, and in particular Errett Bishop's constructive approach to mathematics, on pragmatic grounds, avoiding the philosophical issues which have dissuaded many…

All Souls College Oxford OX 1 4 AL 5 December 2005 : a shorter version is forthcoming in Proceedings of the 28 th Ludwig Wittgenstein Symposium

- Philosophy
- 2022

This paper forms part of a wider campaign: to deny pointillisme. That is the doctrine that a physical theory’s fundamental quantities are defined at points of space or of spacetime, and represent…

Space and its dis-contents : new directions for intrinsicality, substance and dimensionality

- Philosophy
- 2013

Against Pointillisme about Geometry

- Philosophy
- 2005

This paper forms part of a wider campaign: to deny pointillisme. That is the doctrine that a physical theory's fundamental quantities are defined at points of space or of spacetime, and represent…

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The mathematical foundations of quantum mechanics

- PhysicsSynthese
- 2004

Classical mechanics was first envisaged by Newton, formed into a powerful tool by Euler, and brought to perfection by Lagrange and Laplace. It has served as the paradigm of science ever since. Even…

Macroscopic observation of a quantum particle in a slowly varying potential

- Physics
- 1996

Abstract A nonrelativistic quantum particle moving in a potential and observed on a sufficiently large (macroscopic) space–time scale can be described by means of classical particle trajectories,…

Observation of quantum particles on a large space-time scale

- Physics
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A quantum particle observed on a sufficiently large space-time scale can be described by means of classical particle trajectories. The joint distribution for large-scale multiple-time position and…

How We Know about Electrons

- Physics
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In 1997 we celebrated the centenary of Thomson’s (1897) ‘Cathode Rays’ that is conveniently taken as marking the discovery of the electron, our first fundamental particle. The electron is not just…

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- Physics, Engineering
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Convention: Poincaré and Some of His Critics

- PhilosophyThe British Journal for the Philosophy of Science
- 2001

This paper offers an interpretation of Poincaré's conventionalism, distinguishing it from the Duhem–Quine thesis, on the one hand, and, on the other, from the logical positivist understanding of…

Analysis on graphs and noncommutative geometry

- Mathematics
- 1993

Abstract We study the form of the continuous time heat kernel for a second order discrete Laplacian on a weighted graph. The analysis is shown to be closely related to the theory of symmetric Markov…

Isometric approximation property of unbounded sets

- Mathematics
- 2002

We give a necessary and sufficient quantitative geometric condition for an unbounded set A ⊂ Rn to have the following property with a given c > 0: For every ε ≥ 0 and for every map f: A → Rn such…

The Scientific Image

- Philosophy
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In this book van Fraassen develops an alternative to scientific realism by constructing and evaluating three mutually reinforcing theories.