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…
References
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- Physics, EducationNature
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In his later years, Einstein sought a unified theory that would extend general relativity and provide an alternative to quantum theory. There is now talk of a ‘theory of everything’ (although…
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
- 1994
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
- 2000
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…
Lattice Gas Hydrodynamics
- Physics, Engineering
- 1987
1. Introduction 2. Basic ideas 3. Microdynamics: general formalism 4. Microdynamics: various examples 5. Equilibrium statistical mechanics 6. Macrodynamics: Chapman-Enskog method 7. Linearized…
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
- 1980
In this book van Fraassen develops an alternative to scientific realism by constructing and evaluating three mutually reinforcing theories.