Effects and Propositions

  title={Effects and Propositions},
  author={William Demopoulos},
  journal={Foundations of Physics},
The quantum logical and quantum information-theoretic traditions have exerted an especially powerful influence on Bub’s thinking about the conceptual foundations of quantum mechanics. This paper discusses both the quantum logical and information-theoretic traditions from the point of view of their representational frameworks. I argue that it is at this level—at the level of its framework—that the quantum logical tradition has retained its centrality to Bub’s thought. It is further argued that… 

Generalized Probability Measures and the Framework of Effects

This paper is dedicated to the memory of Itamar Pitowsky. It develops the idea that the generalized probability measures of quantum mechanics are the probabilities of “effects.” As explained below,

Are Non-Boolean Event Structures the Precedence or Consequence of Quantum Probability?

This paper will avail of Pitowsky's program, along with its extensions in the work of Jeffrey Bub and William Demopoulos, to better explicate QBism's aims and goals.

Quantum-Bayesian Coherence

It is argued that the Born Rule should be seen as an empirical addition to Bayesian reasoning itself, and how to view it as a normative rule in addition to usual Dutch-book coherence is shown.

Forthcoming in Studies in History and Philosophy of Modern Physics Friedman ’ s Thesis

This essay examines Friedman’s recent approach to the analysis of physical theories. Friedman argues against Quine that the identification of certain principles as ‘constitutive’ is essential to a

Friedman׳s thesis

Putting probabilities first. How Hilbert space generates and constrains them

We use correlation arrays, the workhorse of Bub's (2016) Bananaworld, to analyze the correlations found in an experimental setup due to Mermin (1981) for measurements on the singlet state of a pair

Traces in probability space

William Demopoulos died in May 2017, altogether too young, and with a manuscript nearing completion that needed some tidying editorial attention. This is the volume under review, and Demopoulos’

Some disputed aspects of inertia, with particular reference to the equivalence principle

This chapter discusses Friedman’s thesis on background-structure in classical field theories and the notion of a constitutive principle in Helmholtz and Poincare.

The Case for Quantum State Realism

.....................................................................................................................................................iii Acknowledgements



Is logic empirical

Philosophic Foundations of Quantum Mechanics

IN the preface of this work, the author tells us that he “has tried to develop a philosophical interpretation of quantum physics which is free from metaphysics”; a somewhat puzzling sentence, since

Completeness and Realism in Quantum Mechanics

Kochen and Specker ([5], Theorem 1) have shown that a finite partial Boolean algebra Dof quantum mechanics has no two-valued homomorphisms. In my view, this theorem bears on the completeness of

The Logic of Quantum Mechanics

One of the aspects of quantum theory which has attracted the most general attention, is the novelty of the logical notions which it presupposes. It asserts that even a complete mathematical

Physical theory and its interpretation : essays in honor of Jeffrey Bub

Preface A new modal interpretation of quantum mechanics in terms of relational properties Joseph Berkovitz and Meir Hemmo Why special relativity should not be a template for a reformulation of

Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory

Bohmian mechanics is arguably the most naively obvious embedding imaginable of Schrödinger's equation into a completely coherent physical theory. It describes a world in which particles move in a

Quantum Mechanics as a Theory of Probability

We develop and defend the thesis that the Hilbert space formalism of quantum mechanics is a new theory of probability. The theory, like its classical counterpart, consists of an algebra of events,

The mathematical foundations of quantum mechanics

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

Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum Probability

It is shown how the rules of rational betting imply all the interesting features of quantum probability, even in such finite gambles, including the uncertainty principle and the violation of Bell's inequality among others.


  • M. Born
  • Philosophy
    The British Journal for the Philosophy of Science
  • 1953
THE following pages are a reply to Erwin Schrodinger's article, ' Are There Quantum Jumps ? Parts I and II ' , published in August and November 1952, in this Journal. A discussion on this subject was