The Unexpected Applicability of Paraconsistent Logic: A Chomskyan Route to Dialetheism

Foundations of Science

Volumn 18, Issue 4, 2013, Pages 625-640

  McGinnis, Nicholas D ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

Chomsky dialetheism inconsistency; Tolerance language paraconsistent priest

Indexed keywords

FORMAL LOGIC; PHILOSOPHICAL ASPECTS; SEMANTICS;

CHOMSKY DIALETHEISM INCONSISTENCY; INCONSISTENCY TOLERANCES; NATURAL LANGUAGES; PARACONSISTENT LOGIC; SCIENTIFIC THEORIES;

COMPUTER CIRCUITS;

EID: 84890434367     PISSN: 12331821     EISSN: 15728471     Source Type: Journal    
DOI: 10.1007/s10699-012-9294-7     Document Type: Article

References (36)

1. Abe, J., et al. (2006). Intelligent paraconsistent logic controller and autonomous mobile robot Emmy II. In Lecture notes in computer science (Vol. 4252, pp. 851-857).
2. Batens D. et al (2000) A Survey of Inconsistency-Adaptive Logics. In: Batens D. et al. (Eds.) Frontiers of Paraconsistent Logics. Research Studies Press Ltd, Baldock.
3. Beall, J. C., Priest, G., Armour-Garb, B. (Eds.) (2004) The law of non-contradiction: New philosophical essays. Clarendon Press, Oxford.
4. Beall J. C. (2004) At the Intersection of Truth and Falsity. In: Beall J. C., Priest G., Armour-Garb B. (Eds.) The law of non-contradiction: New philosophical essays. Clarendon Press, Oxford, pp 1-19.
5. Bertossi, L., Hunter, A., & Schaub, T. (2004). Introduction to inconsistency tolerance. In L. Bertossi, A. Hunter & T. Schaub (Eds.), Inconsistency tolerance. Berlin: Springer.
6. Bremer M. (2005) An introduction to paraconsistent logics. Peter Lang, Frankfurt am Main.
7. Brown B. (2002) On paraconsistency. In: Jacquette D. (Ed.) A companion to philosophical logic. Blackwell, New York, p 629.
8. Burge, T. (1979). Individualism and the mental. In Midwest studies in philosophy (Vol. 4, pp. 73-121).
9. Chomsky N.: (1995a) Language and nature. Mind 104: 1-61.
10. Chomsky N. (1995b) The minimalist program. The MIT Press, Cambridge, MA.
11. Chomsky, N. (2007). Approaching UG from below. In U. Sauerland & H. Martin Grtner (Eds.), Interfaces + Recursion = Language? (pp. 1-29). New York: Mouton de Gruyter.
12. Chomsky, N. (1997). Language and thought. In Perspectives on power (pp. 1-30). Montreal: Black Rose Books.
13. Da Costa N. (1974) On the theory of inconsistent formal systems. Notre Dame Journal of Formal Logic XV(4): 497-510.
14. Da Costa, N., Krause, D., & Bueno, O. (2004) Paraconsistent logics and paraconsistency: Technical and philosophical developments. In CLE E-Prints (Vol. 4, No. 3).
15. Davidson D. (1967) Truth and meaning. Synthese 17: 304-323.
16. Gold E. M. (1967) Language identification in the limit. Information and Control 10(5): 447-474.
17. Hewitt C. (2008) ORGs for scalable, robust, privacy-friendly cloud computing. IEEE Internet Computing 12(5): 96-99.
18. Hornstein N., Nunes J., Grohman K. (2005) Understanding minimalism. Cambridge University Press, Cambridge.
19. Imam, F., MacCaull, W., & Kennedy, M. A. (2007). Merging healthcare ontologies: inconsistency tolerance and implementation issues. In CBMS: Twentieth IEEE international symposium on computer-based medical systems (CBMS'07) (pp. 530-535).
20. Kassoff, M., & Genesereth, M. (2007). Predicalc: A logical spreadsheet management system. The Knowledge Engineering Review, 22(3).
21. Lewis D. (1982) Logic for equivocators. Nous 16(3): 431-441.
22. Lewis D. (2004) Letters to Beall and Priest. In: Beall J. C., Priest G., Armour-Garb B. (Eds.) The law of non-contradiction: New philosophical essays. Clarendon Press, Oxford, pp 176-177.
23. Ludlow P. (1999) Semantics, tense and time. MIT Press, Cambridge, MA.
24. Mares E. (2004) Semantic Dialetheism. In: Beall J. C., Priest G., Armour-Garb B. (Eds.) The law of non-contradiction: New philosophical essays. Clarendon Press, Oxford, pp 264-275.
25. McGilvray J. (1998) Meanings are syntactically individuated and found in the head. Mind & Language 13(2): 225-280.
26. Priest G. (1987) In contradiction: A study of the transconsistent. Martinus Nijhoff Publishers Group, Dordrecht.
27. Priest G. (2001) An introduction to non-classical logic. Cambridge University Press, Cambridge.
28. Priest G. (1991) Minimally inconsistent LP. Studia Logica 50(2): 321-331.
29. Priest G. (1997) Sylvan's Box. Notre Dame Journal of Formal Logic LXII(4): 573-582.
30. Putnam H. (2000) Rethinking mathematical necessity. In: Crary A., Read R. (Eds.) The New Wittgenstein. Routledge, London, pp 218-231.
31. Putnam H. (1975) The meaning of 'Meaning'. Minnesota Studies in the Philosophy of Science 7: 131-193.
32. Read S. (1988) Relevant logic. Basil Blackwell, New York.
33. Rodriguez A. (2004) Inconsistency issues in spatial databases. In: Bertossi L., Hunter A., Schaub T. (Eds.) Inconsistency tolerance. Springer, Berlin, pp 237-269.
34. Stainton R. (2006) Meaning and reference: Some Chomskian themes. In: Lepore E., Smith B. (Eds.) The Oxford handbook of philosophy of language. Oxford University Press, Oxford, pp 913-940.
35. Stainton, R. (2011). In defense of public languages. Linguistics and Philosophy, 34(5), 479-488.
36. Young, C. A. (2007). Spreadsheets using logic instead of math may revolutionize data management. Stanford Report. http://news. stanford. edu/news/2007/april25/logic-042507. html. Accessed 25 April.