“one Is a Lonely Number”: Logic and Communication

نویسنده

  • JOHAN VAN BENTHEM
چکیده

Logic is not just about single-agent notions like reasoning, or zero-agent notions like truth, but also about communication between two or more people. What we tell and ask each other can be just as logical as what we infer in Olympic solitude. We show how communication and other interactive phenomena can be studied systematically by merging epistemic and dynamic logic, leading to new types of question. §1. Logic in a social setting. 1.1. Questions and answers. Consider the simplest type of communication: a question-answer episode between two agents. Here is an example. I approach you in a busy Roman street, A.D. 180, intent on rescuing my former general Maximus, now held as a gladiator, and ask: Q Is this the road to the Colosseum? As a well-informed and helpful Roman citizen, you answer truly:

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تاریخ انتشار 2006