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The Probability Puzzle

David Wallace

in The Emergent Multiverse: Quantum Theory according to the Everett Interpretation

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199546961
eISBN:
9780191741418
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546961.003.0006
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

This chapter begins my discussion of probability — generally held to be the most severe difficulty for the Everett interpretation. The chapter argues that since mathematically speaking probability ... More


New Perspectives in Stochastic Geometry

Wilfrid S. Kendall and Ilya Molchanov (eds)

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199232574
eISBN:
9780191716393
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199232574.001.0001
Subject:
Mathematics, Geometry / Topology

Stochastic geometry is a subject with roots stretching back at least 300 years, but one which has only been formed as an academic area in the last 50 years. It covers the study of random patterns, ... More


Everettian Statistical Inference

David Wallace

in The Emergent Multiverse: Quantum Theory according to the Everett Interpretation

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199546961
eISBN:
9780191741418
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546961.003.0008
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

This chapter extends chapter 5's formal proof into a general discussion of how we should assess evidence — and, in particular, how we should test scientific theories — given the possibility that ... More


The Probability Foundations of Econometrics

Qin Duo

in The Formation of Econometrics: A Historical Perspective

Published in print:
1997
Published Online:
November 2003
ISBN:
9780198292876
eISBN:
9780191596803
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198292872.003.0002
Subject:
Economics and Finance, History of Economic Thought, Econometrics

Records the fundamental event of the probability revolution in econometrics. Focuses upon how probability theory was brought into econometrics in relation to the main econometric modelling issues, ... More


Mathematical Preliminaries

Partha P. Mitra and Hemant Bokil

in Observed Brain Dynamics

Published in print:
2007
Published Online:
May 2009
ISBN:
9780195178081
eISBN:
9780199864829
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195178081.003.0005
Subject:
Neuroscience, Techniques, Molecular and Cellular Systems

This chapter reviews a broad range of mathematical topics relevant to the rest of the book. It begins with a brief discussion of real and complex numbers and elementary real and complex functions, ... More


Probability and Quantum Theory

E. Brian Davies

in Science in the Looking Glass: What Do Scientists Really Know?

Published in print:
2007
Published Online:
September 2008
ISBN:
9780199219186
eISBN:
9780191711695
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199219186.003.0007
Subject:
Physics, History of Physics

This chapter discusses a series of examples which illustrate various peculiarities of probability theory. It shows that there are many situations in which two people may legitimately ascribe ... More


Introduction to Probability and Random Variables

M. Vidyasagar

in Hidden Markov Processes: Theory and Applications to Biology

Published in print:
2014
Published Online:
October 2017
ISBN:
9780691133157
eISBN:
9781400850518
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691133157.003.0001
Subject:
Mathematics, Probability / Statistics

This chapter provides an introduction to probability and random variables. Probability theory is an attempt to formalize the notion of uncertainty in the outcome of an experiment. For instance, ... More


Epistemic Probability: Some Current Views

Alvin Plantinga

in Warrant and Proper Function

Published in print:
1993
Published Online:
November 2003
ISBN:
9780195078640
eISBN:
9780199872213
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195078640.003.0008
Subject:
Philosophy, Metaphysics/Epistemology

In circumstances where one proposition A (or group of propositions G) is propositional evidence for another proposition B, my believing A (or G) can confer warrant (for me) upon B. I use the term ... More


Symmetry, Rationality, and the Born Rule

David Wallace

in The Emergent Multiverse: Quantum Theory according to the Everett Interpretation

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199546961
eISBN:
9780191741418
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546961.003.0007
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

Building on work originally carried out by David Deutsch, the chapter develops a mathematically rigorous framework for discussing the quantum probability rule in terms of the preferences between ... More


A Cornucopia of Everettian Consequences

David Wallace

in The Emergent Multiverse: Quantum Theory according to the Everett Interpretation

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199546961
eISBN:
9780191741418
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546961.003.0013
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

This chapter reviews a collection of other philosophical and conceptual consequences of the Everett interpretation: the popular-science idea that chaos theory makes the future sensitively dependent ... More


The Laws of Belief: Ranking Theory and Its Philosophical Applications

Wolfgang Spohn

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199697502
eISBN:
9780191739323
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199697502.001.0001
Subject:
Philosophy, Metaphysics/Epistemology, Philosophy of Science

Ranking theory will be claimed to deliver the first full account of the dynamics of belief and to be the legitimate sister of probability theory. This entails its deep significance for fundamental ... More


From Cosmos to Chaos: The Science of Unpredictability

Peter Coles

Published in print:
2006
Published Online:
January 2010
ISBN:
9780198567622
eISBN:
9780191718250
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567622.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Cosmology has undergone a revolution in recent years. The exciting interplay between astronomy and fundamental physics has led to dramatic revelations, including the existence of the dark matter and ... More


Probably Poe

Maurice S. Lee

in Uncertain Chances: Science, Skepticism, and Belief in Nineteenth-Century American Literature

Published in print:
2011
Published Online:
May 2012
ISBN:
9780199797578
eISBN:
9780199932412
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199797578.003.0001
Subject:
Literature, American, 19th Century Literature

Focusing on Poe’s detective fiction, this chapter discusses the spread of probability theory in the 1830s and 1840s—in logic and mathematics, in sociology and statistics, and in gaming practices, ... More


Second Interlude

David Wallace

in The Emergent Multiverse: Quantum Theory according to the Everett Interpretation

Published in print:
2012
Published Online:
September 2012
ISBN:
9780199546961
eISBN:
9780191741418
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546961.003.0009
Subject:
Philosophy, Philosophy of Science, Metaphysics/Epistemology

This interlude considers, in dialog form, various objections and responses to Everett interpretation based on concerns of probability, further exploring the position developed in chapters 4–6 of this ... More


Probabilism

Colin Howson

in Hume's Problem: Induction and the Justification of Belief

Published in print:
2000
Published Online:
November 2003
ISBN:
9780198250371
eISBN:
9780191597749
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198250371.003.0005
Subject:
Philosophy, Philosophy of Science

Considers whether probability theory offers a way round Hume's argument, as has sometimes been contended. There are theorems of formal probability theory that appear to show that suitable evidence ... More


Model Construction Revisited

Qin Duo

in The Formation of Econometrics: A Historical Perspective

Published in print:
1997
Published Online:
November 2003
ISBN:
9780198292876
eISBN:
9780191596803
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198292872.003.0007
Subject:
Economics and Finance, History of Economic Thought, Econometrics

Looks at problems associated with econometric model construction for the period immediately after the formative phase, and tries to link up the previous chapters and to show what has been left ... More


Mathematical Prelude: A Selective Introduction to Logic and Set Theory for Social Scientists

Gary Goertz and James Mahoney

in A Tale of Two Cultures: Qualitative and Quantitative Research in the Social Sciences

Published in print:
2012
Published Online:
October 2017
ISBN:
9780691149707
eISBN:
9781400845446
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691149707.003.0002
Subject:
Sociology, Social Research and Statistics

This chapter considers some key ideas from logic and set theory as they relate to qualitative research in the social sciences, including ideas concerning necessary and sufficient conditions. It also ... More


Random Processes in Physics and Finance

Melvin Lax, Wei Cai, and Min Xu

Published in print:
2006
Published Online:
January 2010
ISBN:
9780198567769
eISBN:
9780191718359
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567769.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book discusses random processes in physics, from basic probability theory to the Fokker-Planck process and Langevin equation for the Fokker Planck process and diffusion. It includes diverse ... More


Review of probability

Melvin Lax, Wei Cai, and Min Xu

in Random Processes in Physics and Finance

Published in print:
2006
Published Online:
January 2010
ISBN:
9780198567769
eISBN:
9780191718359
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567769.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter reviews probability theory, limiting the discussion to the study of random events as opposed to random processes, the latter being a sequence of random events extended over a period of ... More


Uncertain Belief: Is it Rational to be a Christian?

David J. Bartholomew

Published in print:
2000
Published Online:
October 2011
ISBN:
9780198270140
eISBN:
9780191683923
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198270140.001.0001
Subject:
Religion, Theology, Philosophy of Religion

The certainties which underpinned Christian belief have crumbled in a world where science sets the standard of what is true. A rational case for belief must therefore be constructed out of ... More


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