Dovetailing Belief Base Revision with Truth Approximation
Gustavo Cevolani et al. (Erkenntnis 75(2):183–202, 2011) have shown that their account of verisimilitude of ‘conjunctive theories’ of a finite propositional language can be nicely linked to a variant of AGM belief set revision, viz. belief base revision, in the sense that the latter kind of revision is functional for truth approximation according to the conjunctive account. In the present chapter I offer a generalization of these ideas to the case of approaching any divide of a (finite or infinite) universe, allowing several interpretations, besides true (false) atomic propositions, notably nomic states (not) in equilibrium, nomic (im-)possibilities, (non-)instantiated ‘Q-predicates’ of a monadic language. It shows how and why approximation of ‘the true boundary’ takes place by belief base revision guided by evidence.
In the nomic (im-)possibilities interpretation this chapter essentially deals with a belief base revision perspective on basic and quantitative nomic truth approximation of two-sided theories in the sense of Chaps. 4 and 5. The previous chapter dealt with a belief set revision (i.e., AGM-) perspective on basic and refined nomic truth approximation of (one-sided) exclusion theories. This chapter will leave the challenge open of a belief base revision perspective on refined nomic truth approximation of two-sided theories, and, more generally, a belief base perspective on refined approximation of ‘the true boundary’ belonging to whatever interpretation.
KeywordsBelief base revision Conjunctive theories Generalization Approaching a divide Expansion Contraction Revision Truth approximation Truthlikeness Nomic interpretation Propositional interpretation Partition interpretation Monadic interpretation
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