Although the two parts Logic, Language, and Meaning can be used independently, together they provide a comprehensive overview of modern logic as applied in the analysis of natural language. Both parts contain exercises with solutions.
Volume 1: Introduction to Logic
This part starts with a historical overview and provides a thorough introduction to standard propositional and first-order predicate logic. Both syntactic and semantic approaches to reasoning and validity are covered, as well as their interrelationship. Although the focus is primarily on language and meaning, the text is also suitable for readers with a general interest in logic.
In addition, this part contains a survey of topics such as definition descriptions, restricted quantification, second-order logic, and many-valued logic. The pragmatic approach to non-truth-conditional and conventional implicatures is addressed. Furthermore, there is attention to the relationship between logic and formal syntax, including concepts such as rewrite rules, automation, grammatical complexity, and linguistic hierarchy.
Application and Language Level
This teaching material is suitable for students and professionals in logic and linguistics, as well as for self-study. The material concerns logic and natural language and is therefore directly applicable in education and research. No specific language level such as A1–C2 is mentioned, because the subject is content-oriented.
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