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The End of Time

- J. Butterfield
- Philosophy
- 15 March 2001

I discuss Julian Barbour's Machian theories of dynamics, and his proposal that a Machian perspective enables one to solve the problem of time in quantum geometrodynamics (by saying that there is no… Expand

Less is Different: Emergence and Reduction Reconciled

- J. Butterfield
- Philosophy
- 3 June 2011

This is a companion to another paper. Together they rebut two widespread philosophical doctrines about emergence. The first, and main, doctrine is that emergence is incompatible with reduction. The… Expand

A Topos Perspective on the Kochen-Specker Theorem II. Conceptual Aspects and Classical Analogues

- J. Butterfield, C. Isham
- Philosophy
- 31 August 1998

In a previous paper, we proposed assigning asthe value of a physical quantity in quantum theory acertain kind of set (a sieve) of quantities that arefunctions of the given quantity. The motivation… Expand

Topos Perspective on the Kochen-Specker Theorem: I. Quantum States as Generalized Valuations

- C. Isham, J. Butterfield
- Mathematics
- 20 March 1998

AbstractAny attempt to construct a realistinterpretation of quantum theory founders on theKochen–Specker theorem, which asserts theimpossibility of assigning values to quantum quantitiesin a way that… Expand

Emergence, Reduction and Supervenience: A Varied Landscape

- J. Butterfield
- Philosophy
- 25 March 2011

This is one of two papers about emergence, reduction and supervenience. It expounds these notions and analyses the general relations between them. The companion paper analyses the situation in… Expand

Spacetime and the Philosophical Challenge of Quantum Gravity

- J. Butterfield, C. Isham
- Physics
- 2001

We survey some philosophical aspects of the search for a quantum theory of gravity, emphasising how quantum gravity throws into doubt the treatment of spacetime common to the two `ingredient… Expand

Topos Perspective on the Kochen=nSpeckerTheorem: III. Von Neumann Algebras as theBase Category

- J. Hamilton, C. Isham, J. Butterfield
- Mathematics
- 5 November 1999

We extend the topos-theoretic treatment given in previous papers of assigningvalues to quantities in quantum theory, and of related issues such as theKochen–Specker theorem. This extension has two… Expand

On the Emergence of Time in Quantum Gravity

- C.J.Isham, J. Butterfield
- Philosophy
- 8 January 1999

We discuss from a philosophical perspective the way in which the normal concept of time might be said to `emerge' in a quantum theory of gravity. After an introduction, we briefly discuss the notion… Expand

Topos Perspective on the Kochen–Specker Theorem: IV. Interval Valuations

- J. Butterfield, C. Isham
- Mathematics
- 24 July 2001

AbstractWe extend the topos-theoretic treatment given in previous papers (Butterfield, J. and Isham, C. J. (1999). International Journal of Theoretical Physics38, 827–859; Hamilton, J., Butterfield,… Expand

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