David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Philosophical Logic 38 (6):589 - 606 (2009)
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||Traditional logic Formalising Top syntactic level Natural logic|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Aristotle (1984). The Complete Works of Aristotle: The Revised Oxford Translation. Princeton University Press.
John M. Dillon (1973). Iamblichi Chalcidensis in Platonis Dialogos Commentariorum Fragmenta. Leiden,Brill.
Michael Friedman (1985). Kant's Theory of Geometry. Philosophical Review 94 (4):455-506.
Niels Jørgen Green-Pedersen (1984). The Tradition of the Topics in the Middle Ages: The Commentaries on Aristotle's and Boethius' Topics. Philosophia Verlag.
Dimitri Gutas (1988). Avicenna and the Aristotelian Tradition: Introduction to Reading Avicenna's Philosophical Works. E.J. Brill.
Citations of this work BETA
No citations found.
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. 562.
Jaakko Hintikka & Esa Saarinen (1979). Information-Seeking Dialogues: Some of Their Logical Properties. [REVIEW] Studia Logica 38 (4):355 - 363.
George Lakoff (1970). Linguistics and Natural Logic. Synthese 22 (1-2):151 - 271.
Jaroslav Peregrin (2010). Logic and Natural Selection. Logica Universalis 4 (2):207-223.
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 downloads97 ( #14,537 of 1,413,158 )
Recent downloads (6 months)5 ( #41,994 of 1,413,158 )
How can I increase my downloads?