Obligations and Prohibitions in Talmudic Deontic Logic

14 Pages Posted: 6 Mar 2012

See all articles by Uri J. Schild

Uri J. Schild

Bar Ilan University Department of Computer Science

M. Abraham

affiliation not provided to SSRN

Dov Gabbay

affiliation not provided to SSRN

Date Written: March 6, 2012

Abstract

This paper examines the deontic logic of the Talmud. We shall find, by looking at examples, that at first approximation we need deontic logic with several connectives: OT A Talmudic obligation, FT A Talmudic prohibition, FDA Standard deontic prohibition, ODA Standard deontic obligation. In classical logic one would have expected that deontic obligation OD is definable by – ODA ≡ FD¬A and that OT and FT are connected by – OT A ≡ FT¬A.

This is not the case in the Talmud for the T (Talmudic) operators, though it does hold for the D operators.We must change our underlying logic.We have to regard {OT , FT } and {OD, FD} as two sets of operators , where OT and FT are independent of one another and where we have some connections between the two sets. We shall list the types of obligation patterns appearing in the Talmud and compare Talmudic Logic with modern deontic logic.

Suggested Citation

Schild, Uri J. and Abraham, M. and Gabbay, Dov, Obligations and Prohibitions in Talmudic Deontic Logic (March 6, 2012). Available at SSRN: https://ssrn.com/abstract=2016787 or http://dx.doi.org/10.2139/ssrn.2016787

Uri J. Schild (Contact Author)

Bar Ilan University Department of Computer Science ( email )

Israel

HOME PAGE: http://u.cs.biu.ac.il/~schild/

M. Abraham

affiliation not provided to SSRN

No Address Available

Dov Gabbay

affiliation not provided to SSRN

No Address Available

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