Probability Theory and Causation
A Branching Space-Times Analysis
Bibliographic Data
| ID | 8398296 |
|---|---|
| Authors | Thomas Müller (0000-0003-1225-1483, University of Bonn, corresponding author) |
| Year | 2005 |
| Volume | 56 |
| Issue | 3 |
| Pages | 487-520 |
| Publication date | 2005-09-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | The British Journal for the Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0007-0882 • E-ISSN: 1464-3537 |
| Publisher | Oxford University Press (PUBLISHER • GB) |
| DOI | 10.1093/bjps/axi132 |
| OpenAlex | W2054686020 |
| Language | EN |
| Citations received | 17 |
| References cited | 12 |
We provide a formally rigorous framework for integrating singular causation, as understood by Nuel Belnap's theory of causae causantes, and objective single case probabilities. The central notion is that of a causal probability space whose sample space consists of causal alternatives. Such a probability space is generally not isomorphic to a product space. We give a causally motivated statement of the Markov condition and an analysis of the concept of screening-off. 1. Causal dependencies and probabilities1.1Background: causation in branching space-times 1.2What are probabilities defined for? 2. Basic transitions2.1Basics of basic transitions 2.2Sets of basic transitions 3. Causal probability theory3.1Some simple cases 3.2General causal probabilities 3.3Application: probability of suprema of a chain
Branching (polymer chemistry) · Calculus (dental) · Causation · Epistemology · Markov chain · Sample space · Simple (philosophy) · Space (punctuation) · Statement (logic) · Statistics · Computer Science · Mathematics · Medicine · Philosophy · Philosophy and History of Science · Philosophy and Theoretical Science · Quantum Mechanics and Applications
Quantum state holism
How Causal Probabilities Might Fit into Our Objectively Indeterministic World
On Minkowskian branching structures
Branching space-times
Propensities and probabilities
Objective probability-like things with and without objective indeterminism
A letter on the present state of affairs
Newtonian determinism to branching space-times indeterminism in two moves
Counterfactuals and Historical Possibility
On infinite EPR-like correlations
Branching in the landscape of possibilities
Everettian quantum mechanics without branching time
Funny business in branching space-times
Past, present and future modally introduced
Indeterminism is a modal notion
Stochastic Einstein Locality Revisited
Branching with Uncertain Semantics
Causality
Experimental Test of Bell's Inequalities Using Time- Varying Analyzers
The Direction of Time
How Causal Probabilities Might Fit into Our Objectively Indeterministic World
Branching space-time
A Theory of Causation
The scientific image
Speakable and Unspeakable in Quantum Mechanics
Quantum Theory and the Schism in Physics
| Unique citing works | 17 |
|---|---|
| Citations per year | 0,77 |
| Citation span | 2004 - 2021 (18) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 15 |