20 citations · 21 across the 4 of their papers we have counts for
6 papers · 1 filter
On Hamilton-Jacobi theory: its geometry and relation to pilot-wave theory
Jeremy Butterfield
This paper gives a technically elementary treatment of some aspects of Hamilton-Jacobi theory, especially in relation to the calculus of variations. The second half of the paper de…
A Topos Perspective on the Kochen-Specker Theorem: IV. Interval Valuations
J. Butterfield, C. J. Isham
We extend the topos-theoretic treatment given in previous papers of assigning values to quantities in quantum theory. In those papers, the main idea was to assign a sieve as a part…
Some Worlds of Quantum Theory
Jeremy Butterfield
This paper assesses the Everettian approach to the measurement problem, especially the version of that approach advocated by Simon Saunders and David Wallace. I emphasise conceptua…
A Topos Perspective on the Kochen-Specker Theorem: III. Von Neumann Algebras as the Base Category
J. Hamilton, C. J. Isham, J. Butterfield
We extend the topos-theoretic treatment given in previous papers of assigning values to quantities in quantum theory, and of related issues such as the Kochen-Specker theorem. This…
A topos perspective on the Kochen-Specker theorem: II. Conceptual Aspects, and Classical Analogues:
C. J. Isham, J. Butterfield
In a previous paper, we have proposed assigning as the value of a physical quantity in quantum theory, a certain kind of set (a sieve) of quantities that are functions of the given…
A topos perspective on the Kochen-Specker theorem: I. Quantum States as Generalized Valuations
C. J. Isham, J. Butterfield
The Kochen-Specker theorem asserts the impossibility of assigning values to quantum quantities in a way that preserves functional relations between them. We construct a new type of…