Quantum Probabilism: New Foundations for Subjective Quantum Probabilities

Doctoral Dissertation
Thumbnail

Abstract

At the intersection of the foundations of statistics and the foundations of quantum theory, one comes across a hotly-debated question: what are the probabilities in quantum theories? Do they all reflect the subjective opinions of various agents, or do some of them reflect objective features of the world? One answer—Lewisian dualism, a view that takes some quantum probabilities to be subjective and others to be objective—has gained near-consensus among philosophers of science. However, our most sophisticated defense of this view (due to Deutsch, Wallace, Saunders, Myrvold, Greaves, and others) has two significant problems. First, it requires a very particular approach to the measurement problem (namely, the Everett interpretation). Second, it relies on the pragmatic goals of scientists (e.g., their aim to avoid losses in bets) rather than their epistemic goals (e.g., their aim to accurately describe the world). I give a new defense of dualism that rectifies both of these problems. I generalize the Deutsch-Wallace argument to defend the objective probabilities in a host of realist approaches to measurement, and I modify the accuracy-dominance argument for probabilism to defend the subjective probabilities in these approaches. I also critically examine several previous attempts to interpret all quantum probabilities subjectively.

Attributes

Attribute NameValues
Alternate Title
  • Quantum Probabilism

Author Jeremy Steeger
Contributor Don A. Howard, Research Director
Contributor Miklós Rédei, Committee Member
Contributor Patricia Blanchette, Committee Member
Contributor Nicholas Y. Teh, Research Director
Contributor Curtis Franks, Committee Member
Degree Level Doctoral Dissertation
Degree Discipline History and Philosophy of Science
Degree Name Doctor of Philosophy
Banner Code
  • PHD-HPS

Defense Date
  • 2019-06-25

Submission Date 2019-07-09
Subject
  • philosophy of physics

  • philosophy of probability

  • accuracy dominance

  • Dutch books

  • philosophy of quantum theory

Language
  • English

Record Visibility and Access Public
Content License
Departments and Units
Catalog Record

Files

Please Note: You may encounter a delay before a download begins. Large or infrequently accessed files can take several minutes to retrieve from our archival storage system.