On the interrelation between systems of spheres and epistemic entrenchment relations

2013 ◽  
Vol 22 (1) ◽  
pp. 126-146 ◽  
Author(s):  
M. D. L. Reis
Keyword(s):  
Epistemic Entrenchment

Iterated belief change based on epistemic entrenchment

Erkenntnis ◽  
1994 ◽  
Vol 41 (3) ◽  
pp. 353-390 ◽  
Author(s):  
Abhaya C. Nayak
Keyword(s):  
Belief Change ◽  
Epistemic Entrenchment

scholarly journals EPISTEMIC ENTRENCHMENT-BASED MULTIPLE CONTRACTIONS

2013 ◽  
Vol 6 (3) ◽  
pp. 460-487 ◽  
Author(s):  
EDUARDO FERMÉ ◽  
MAURÍCIO D. L. REIS
Keyword(s):  
Axiomatic Characterization ◽  
Epistemic Entrenchment ◽  
New Class ◽  
Multiple Contraction ◽  
System Of Spheres ◽  
Class Of Functions

AbstractIn this article we present a new class of multiple contraction functions—the epistemic entrenchment-based multiple contractions—which are a generalization of the epistemic entrenchment-based contractions (Gärdenfors, 1988; Gärdenfors & Makinson, 1988) to the case of contractions by (possibly nonsingleton) sets of sentences and provide an axiomatic characterization for that class of functions. Moreover, we show that the class of epistemic entrenchment-based multiple contractions coincides with the class of system of spheres-based multiple contractions introduced in Fermé & Reis (2012).

scholarly journals Epistemic-entrenchment Characterization of Parikh’s Axiom

2017 ◽  
Author(s):  
Theofanis Aravanis ◽  
Pavlos Peppas ◽  
Mary-Anne Williams
Keyword(s):  
Belief Revision ◽  
Weak Version ◽  
Epistemic Entrenchment ◽  
New Information ◽  
Additional Constraints ◽  
Belief Set

In this article, we provide the epistemic-entrenchment characterization of the weak version of Parikh’s relevance-sensitive axiom for belief revision — known as axiom (P) — for the general case of incomplete theories. Loosely speaking, axiom (P) states that, if a belief set K can be divided into two disjoint compartments, and the new information φ relates only to the first compartment, then the second compartment should not be affected by the revision of K by φ. The above-mentioned characterization, essentially, constitutes additional constraints on epistemic-entrenchment preorders, that induce AGM revision functions, satisfying the weak version of Parikh’s axiom (P).

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