Journal of Philosophical Logic 38 (6) (2009)
|Abstract||In a recent paper Johan van Benthem reviews earlier work done by himself and colleagues on ‘natural logic’. His paper makes a number of challenging comments on the relationships between traditional logic, modern logic and natural logic. I respond to his challenge, by drawing what I think are the most significant lines dividing traditional logic from modern. The leading difference is in the way logic is expected to be used for checking arguments. For traditionals the checking is local, i.e. separately for each inference step. Between inference steps, several kinds of paraphrasing are allowed. Today we formalise globally: we choose a symbolisation that works for the entire argument, and thus we eliminate intuitive steps and changes of viewpoint during the argument. Frege and Peano recast the logical rules so as to make this possible. I comment also on the traditional assumption that logical processing takes place at the top syntactic level, and I question Johan’s view that natural logic is ‘natural’.|
|Keywords||No keywords specified (fix it)|
|Through your library||Configure|
Similar books and articles
Daniel Gallin (1975). Intensional and Higher-Order Modal Logic: With Applications to Montague Semantics. American Elsevier Pub. Co..
Gabriel Sandu (2009). Logic and Semantics in the Twentieth Century. In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press.
Jaakko Hintikka & Esa Saarinen (1979). Information-Seeking Dialogues: Some of Their Logical Properties. Studia Logica 38 (4):355 - 363.
George Lakoff (1970). Linguistics and Natural Logic. Synthese 22 (1-2):151 - 271.
Wayne Aitken & Jeffrey A. Barrett (2007). Stability and Paradox in Algorithmic Logic. Journal of Philosophical Logic 36 (1):61 - 95.
Jeffrey Barrett (2007). Stability and Paradox in Algorithmic Logic. Journal of Philosophical Logic 36 (1):61 - 95.
Added to index2009-10-17
Total downloads87 ( #8,282 of 549,065 )
Recent downloads (6 months)1 ( #63,185 of 549,065 )
How can I increase my downloads?