Notre Dame Journal of Formal Logic

Andersonian Deontic Logic, Propositional Quantification, and Mally

Gert-Jan C. Lokhorst

Abstract

We present a new axiomatization of the deontic fragment of Anderson's relevant deontic logic, give an Andersonian reduction of a relevant version of Mally's deontic logic previously discussed in this journal, study the effect of adding propositional quantification to Anderson's system, and discuss the meaning of Anderson's propositional constant in a wide range of Andersonian deontic systems.

Article information

Source
Notre Dame J. Formal Logic Volume 47, Number 3 (2006), 385-395.

Dates
First available: 17 November 2006

Permanent link to this document
http://projecteuclid.org/euclid.ndjfl/1163775445

Digital Object Identifier
doi:10.1305/ndjfl/1163775445

Mathematical Reviews number (MathSciNet)
MR2264707

Zentralblatt MATH identifier
1120.03016

Subjects
Primary: 03B47: Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics) {For proof-theoretic aspects see 03F52}
Secondary: 03B45: Modal logic (including the logic of norms) {For knowledge and belief, see 03B42; for temporal logic, see 03B44; for provability logic, see also 03F45}

Keywords
Anderson deontic logic relevance logic propositional quantification Mally

Citation

Lokhorst, Gert-Jan C. Andersonian Deontic Logic, Propositional Quantification, and Mally. Notre Dame Journal of Formal Logic 47 (2006), no. 3, 385--395. doi:10.1305/ndjfl/1163775445. http://projecteuclid.org/euclid.ndjfl/1163775445.


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References

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