Reference : Analysis of the Talmudic Argumentum A Fortiori Inference Rule (Kal-Vachomer) using Ma...
Scientific journals : Article
Engineering, computing & technology : Computer science
http://hdl.handle.net/10993/15950
Analysis of the Talmudic Argumentum A Fortiori Inference Rule (Kal-Vachomer) using Matrix Abduction
English
Abraham, Michael [> >]
Gabbay, Dov M. [King’s College London, Department of Computer Science, London, UK; Bar-Ilan University, Ramat-Gan, Israel]
Schild, U. [> >]
2009
Studia Logica
Springer
92
3
281–364
Yes
0039-3215
1572-8730
Berlin
Germany
[en] We motivate and introduce a new method of abduction, Matrix Abduction,
and apply it to modelling the use of non-deductive inferences in the Talmud such as Ana-
logy and the rule of Argumentum A Fortiori. Given a matrix A with entries in {0,1},we allow for one or more blank squares in the matrix, say ai,j=?. The method allows us to decide whether to declare ai,j=0 or ai,j=1 or ai,j=? undecided. This algorithmic method is then applied to modelling several legal and practical reasoning situations including the Talmudic rule of Kal-Vachomer. We add an Appendix showing that this new rule of Matrix Abduction, arising from the Talmud, can also be applied to the analysis of paradoxes in voting and judgement aggregation. In fact we have here a general method for executing non-deductive inferences.
http://hdl.handle.net/10993/15950

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