Volume 14, Issue 1, 2017
The Closure Principle for Signification
(An Outline of a Dynamic Version)
The Bradwardine-Read multiple-meanings solution to paradoxes invented in 1320s and formally reconstructed and developed in 2000s is based on the so-called “closure principle for signification”, in particular, for sentential meaning. According to this principle, sentences are assumed to signify whatever they imply. As a consequence, paradoxical sentences are proved to signify their own truth and thereby are reduced to simply false self-contradictions. One of the problems of this solution to paradoxes is that the closure principle over-generates if sentences are closed under unrestricted entailment. The present proposal will introduce a restriction based on what will be called the “dynamic closure principle”: sentential meaning will be regarded as closed under the inference steps performed in the (actual or optimal) process of evaluating the respective sentence’s truth-value.