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Published in:
A Logical Framework for Graded Predicates Read chapter Read first chapter

2017 | OriginalPaper | Chapter

Beating the Gatecrasher Paradox with Judiciary Narratives

Author : Rafal Urbaniak

Published in: Logic, Rationality, and Interaction

Publisher: Springer Berlin Heidelberg

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Abstract

A probabilistic model for the narrative approach to reasoning in legal fact-finding is developed and applied to the gatecrasher paradox.

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Footnotes
1
The paradox is mathematically the same as the prisoners in a yard scenario [13], where a group of prisoners commits a group killing, and it’s impossible to identify the single innocent prisoner.
 
2
The content of the guilt statement is \(\mathtt {G}\) which has the form of \(G\equiv g_1\wedge \cdots \wedge g_l\) for appropriate \(g_1, \dots , g _l\in \mathcal {L}\).
 
3
In contexts in which it is irrelevant whether a narration is an accusing one or not, I will suppress the superscripts.
 
4
A set of sentences is relevant for the case if it is consistent with the background knowledge and there is a narration such that its posterior probability given all background knowledge together with that set is different from its posterior probability given all background knowledge only. A set of sentences is a minimal relevant set if no proper subset thereof is a relevant set. A sentence is relevant if it or its negation is a member of a minimal relevant subset.
 
Literature
1.
Allen, R.J.: No plausible alternative to a plausible story of guilt as the rule of decision in criminal cases. In: Cruz, L.L.J. (ed.) Proof and Standards of Proof in the Law, Northwestern University School of Law, pp. 10–27 (2010)
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Jonathan Cohen, L.: Subjective probability and the paradox of the gatecrasher. Ariz. State Law J. 627–634 (1981)
6.
Dant, M.: Gambling on the truth: the use of purely statistical evidence as a basis for civil liability. Columbia J. Law Soc. Probl. 22, 31–70 (1988)
7.
Di Bello, M.: Statistics and probability in criminal trials. Ph.D. thesis, University of Stanford (2013)
8.
Haack, S.: Evidence Matters: Science, Proof, and Truth in the Law. Cambridge University Press, Cambridge (2014)CrossRef
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Haack, S.: Legal probabilism: an epistemological dissent. In: [8], pp. 47–77. Cambridge University Press, Cambridge (2014)
10.
Ho, H.L.: A Philosophy of Evidence Law: Justice in the Search for Truth. Oxford University Press, Oxford (2008)CrossRef
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Lepage, F.: Partial probability functions and intuitionistic logic. Bull. Sect. Logic 41(3/4), 173–184 (2012)MathSciNetMATH
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Stein, A.: Foundations of Evidence Law. Oxford University Press, Oxford (2005)CrossRef
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Tribe, L.H.: A further critique of mathematical proof. Harv. Law Rev. 84, 1810–1820 (1971)CrossRef
16.
Tribe, L.H.: Trial by mathematics: precision and ritual in the legal process. Harv. Law Rev. 84(6), 1329–1393 (1971)CrossRef
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Metadata
Title
Beating the Gatecrasher Paradox with Judiciary Narratives
Author
Rafal Urbaniak
Copyright Year
2017
Publisher
Springer Berlin Heidelberg
Book
Logic, Rationality, and Interaction

Print ISBN: 978-3-662-55664-1

Electronic ISBN: 978-3-662-55665-8

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-662-55665-8_44

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