Formal Languages in Logic: A Philosophical and Cognitive Analysis
Cambridge University Press, 11/8/2012
EAN 9781107020917, ISBN10: 1107020913
Hardcover, 282 pages, 22.8 x 15.2 x 2 cm
Language: English
Formal languages are widely regarded as being above all mathematical objects and as producing a greater level of precision and technical complexity in logical investigations because of this. Yet defining formal languages exclusively in this way offers only a partial and limited explanation of the impact which their use (and the uses of formalisms more generally elsewhere) actually has. In this book, Catarina Dutilh Novaes adopts a much wider conception of formal languages so as to investigate more broadly what exactly is going on when theorists put these tools to use. She looks at the history and philosophy of formal languages and focuses on the cognitive impact of formal languages on human reasoning, drawing on their historical development, psychology, cognitive science and philosophy. Her wide-ranging study will be valuable for both students and researchers in philosophy, logic, psychology and cognitive and computer science.
Introduction
1. Two notions of formality
2. On the very notion of a formal language
3. The history, purposes and limitations of formal languages
4. How we do reason, and the need for counterbalance in science
5. Formal languages and extended cognition
6. De-semantification
7. The debiasing effect of formalization
Conclusion.
Advance praise: 'Since the rise of logical empiricism, formal languages have become essential tools of doing philosophy. But why does formalization work? And what are its limitations? This book fills a crucial gap in the literature by addressing these questions from a cognitive, historical, and logical point of view. I recommend it to formal philosophers, critics of formal philosophy, and everyone with an interest in the techniques of conceptual engineering per se.' Hannes Leitgeb, Ludwig Maximilians Universität Munich