*Richard Swinburne (ed.)*

- Published in print:
- 2005
- Published Online:
- January 2012
- ISBN:
- 9780197263419
- eISBN:
- 9780191734175
- Item type:
- book

- Publisher:
- British Academy
- DOI:
- 10.5871/bacad/9780197263419.001.0001
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

Bayes' theorem is a tool for assessing how probable evidence makes some hypothesis. The papers in this book consider the worth and applicability of the theorem. The book sets out the philosophical ...
More

Bayes' theorem is a tool for assessing how probable evidence makes some hypothesis. The papers in this book consider the worth and applicability of the theorem. The book sets out the philosophical issues: Elliott Sober argues that there are other criteria for assessing hypotheses; Colin Howson, Philip Dawid, and John Earman consider how the theorem can be used in statistical science, in weighing evidence in criminal trials, and in assessing evidence for the occurrence of miracles; and David Miller argues for the worth of the probability calculus as a tool for measuring propensities in nature rather than the strength of evidence. The book ends with the original paper containing the theorem, presented to the Royal Society in 1763.Less

Bayes' theorem is a tool for assessing how probable evidence makes some hypothesis. The papers in this book consider the worth and applicability of the theorem. The book sets out the philosophical issues: Elliott Sober argues that there are other criteria for assessing hypotheses; Colin Howson, Philip Dawid, and John Earman consider how the theorem can be used in statistical science, in weighing evidence in criminal trials, and in assessing evidence for the occurrence of miracles; and David Miller argues for the worth of the probability calculus as a tool for measuring propensities in nature rather than the strength of evidence. The book ends with the original paper containing the theorem, presented to the Royal Society in 1763.

*Richard Swinburne*

- Published in print:
- 2005
- Published Online:
- January 2012
- ISBN:
- 9780197263419
- eISBN:
- 9780191734175
- Item type:
- chapter

- Publisher:
- British Academy
- DOI:
- 10.5871/bacad/9780197263419.003.0001
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

This chapter introduces Bayes' Theorem, which is primarily concerned with probability. It discusses some of the different kinds of probability, such as statistical probability, before moving on to a ...
More

This chapter introduces Bayes' Theorem, which is primarily concerned with probability. It discusses some of the different kinds of probability, such as statistical probability, before moving on to a discussion of probability axioms. Bayesianism, prior probability and simplicity, and countable additivity are also studied in the chapter.Less

This chapter introduces Bayes' Theorem, which is primarily concerned with probability. It discusses some of the different kinds of probability, such as statistical probability, before moving on to a discussion of probability axioms. Bayesianism, prior probability and simplicity, and countable additivity are also studied in the chapter.

*A. P. Dawid*

- Published in print:
- 2005
- Published Online:
- January 2012
- ISBN:
- 9780197263419
- eISBN:
- 9780191734175
- Item type:
- chapter

- Publisher:
- British Academy
- DOI:
- 10.5871/bacad/9780197263419.003.0004
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

This chapter discusses Bayes's theorem and the weighing of evidence by the juries. It first examines statistics and the law, before moving on to testing between two hypotheses in court. ...
More

This chapter discusses Bayes's theorem and the weighing of evidence by the juries. It first examines statistics and the law, before moving on to testing between two hypotheses in court. Identification evidence and databases and search are examined as well. The chapter concludes with a brief discussion of some problems of legal reasoning that have been greatly clarified by examining them from a Bayesian perspective.Less

This chapter discusses Bayes's theorem and the weighing of evidence by the juries. It first examines statistics and the law, before moving on to testing between two hypotheses in court. Identification evidence and databases and search are examined as well. The chapter concludes with a brief discussion of some problems of legal reasoning that have been greatly clarified by examining them from a Bayesian perspective.