Meaning and Partiality Revised

Muskens presents in Meaning and Partiality a semantics of possibly contradictory beliefs and other propositional attitudes. We propose a different partial logic based on a few key equalities for the connectives and with four values (truth, falsehood, and undefinedness with negative and positive polarity; only the first truth value is designated). Aim and Scope In logical semantics the grammar and meaning of natural language sentences are defined and the logical consequences of the sentences are tested against our intuition [5,8]. A set of sentences provides a model of the world as observed by a person or, more generally, an agent, and the agent is part of the world as are other agents. In such cases it is important to be able to reason about the knowledge, beliefs, assertions and other propositional attitudes of agents. For instance, (1) is a consequence of (2), but (3) is not a consequence of (1) or (2): Mary believes that John cheats. (1) Mary believes that John cheats and smiles. (...

• Type: Conference
• Year: 2001
• Where: SCAI
• Authors: Jørgen Villadsen
• Keywords: John Cheats, Natural Language Sentences, Propositional Attitudes, SCAI 2001, SCAI 2008