Relative to What? - Interpretation with higher-place predicates

Abstract Ordinary language contains groups of related predicates with different arities. Interpreting utterances that appear to contain an n-place predicate by using an n+m-place predicate to dissolve merely apparent disagreements and other misunderstandings is an established practice in everyday discourse. This paper aims to present hermeneutical maxims to guide and evaluate these interpretations through arity raising. In interpreting utterances by using a higher-place predicate, we should use only expressions that their authors themselves reasonably could have used and which would have been suitable to achieve their supposed purposes. The goal is to achieve a charitable, accurate reading that also maximizes the text's transparency to improve our understanding of it.