Communication across viewpoints

Abstract
A case situation arising in a normal interaction among people is the baseline for discussing properties of the theory of viewpoints. In particular we consider how to ensure agreement on the meaning of certain utterances by agents who have different perspectives on the situation, while maintaning other knowledge as private. We argue that communication should be modeled as adding facts to the common knowledge of agents. We introduce the principle of ''referent sharing'' in communications and argue that common knowledge resulting from communication should only use constants whose referent is manifest to the parties involved
Keywords Viewpoints  contexts  metalevel theories  reflective theories  natural deduction
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