Positional value and linguistic recursion

Journal of Indian Philosophy

Volumn 35, Issue 5-6, 2007, Pages 487-520

  Kadvany, John ^a  

^a Principal Policy and Decision Science   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 40549094642     PISSN: 00221791     EISSN: 15730395     Source Type: Journal    
DOI: 10.1007/s10781-007-9025-5     Document Type: Article

References (44)

1. Aitchison, Jean (2001). Language change: Progress or decay? (3rd ed.). New York: Cambridge University Press.
2. Bag, A. K. (1975). al-Biruni on Indian Arithmetic, Indian Journal for the History of Science, 10, 174-184.
3. Barber, Charles (2000). The English language revised edition. New York: Cambridge University Press.
4. Baron-Cohen, Simon (1997). Mindblindness: An essay on autism and theory of mind. New York: Cambridge University Press.
5. Boolos, George (1979). The unprovability of consistency. New York: Cambridge University Press.
6. Brinton, Laurel, & Traugott, Elizabeth. (2005). Lexicalization and language change. New York: Cambridge University Press.
7. Brough, John (1951). Theories of general linguistics in. the Sanskrit grammarians. In Staal. 1972: 402-413.
8. Chomsky, Noam (1963). Formal properties of grammars. In Luce et al. 323-418.
9. Chomsky, Noam (1980). Rules and representations. New York: Columbia University Press.
10. Chomsky, Noam, & Miller, George (1963). Introduction to the formal analysis of natural languages. In Luce et al. 269-322.
11. Clark, Herbert (1996). Using language. New York: Cambridge University Press.
12. Datta, Bibhutibhushan, & Singh, Avadesh Narayan (1935). History of Hindu mathematics I, II. Delhi: Bharatiya Kala Prakashan, (Reprinted (2001)).
13. Davis, Martin Davis (Ed.) (1965). The undecidable: Basic papers on undecidable propositions, unsolvable problems and computable functions. Hewlett, New York: Raven Press.
14. nd ed.), New York: Academic Press.
15. Deutscher, Guy (2005). The unfolding of language. New York: Metropolitan Books.
16. Emch, Gerard, Sridharan, R., & Srinivas, M. D. (Eds.) (2005). Contributions to the history of Indian mathematics. New Delhi: Hindustan Book Agency.
17. Enderton, Herbert (1972). A mathematical introduction to logic. New York: Academic Press.
18. Fischer, Michael, & Rabin, Michael (1974). Super-exponential complexity of Presburger arithmetic. SIAM-AMS Proceedings, No. 7, American Mathematics Society, Providence, R.I., 27-41.
19. Gandy, Robin (1995). The confluence of ideas in 1936. In Rolf Herken (Ed.), The universal turing machine: A half-century survey (2nd ed.). New York: Springer-Verlag.
20. Gardner, Howard (1987). The mind's new science: A history of the cognitive revolution. New York: Basic Books.
21. Gentner, Dedre, & Goldin-Meadow, Susan (Eds.) (2003). Language in mind: Advances in the study of langauge and thought. Cambridge: MIT Press.
22. Goody, Jack (1987). The interface between the written and the oral. New York: Cambridge University Press.
23. Ifrah, Georges (2000). The universal history of numbers: From prehistory to the invention of the computer. (David Bellos et al. trans.). New York: John Wiley & Sons.
24. Karmiloff-Smith, Annette (1992). Beyond modularity: A developmental approach to cognitive science. Cambridge, MIT Press.
25. Keller, Agathe (2006). Expounding the mathematical seed: A translation of Bhäskara I on the mathematical chapter of the Äryabhatīya I, II. Boston: Birkhäuser.
26. Klein, Jacob (1936). Greek mathematical thought and the origin of algebra. (Eva Brann trans. 1968). New York: Dover (Reprint (1992)).
27. Luce, R. Duncan, Bush, R., & Galanter, E. (Eds.) (1963). Handbook of mathematical psychology (Vol. II). New York: John Wiley & Sons.
28. Minsky, Marvin (1967). Computation: Finite and infinite machines. New York: Prentice-Hall.
29. Nayar, B. K. (1975) al-Biruni and science communication in Sanskrit. Indian Journal for the History of Science, 10, 249-252.
30. Pullum, Geoffrey, & Scholz, Barbara (2005). Contrasting applications of logic in natural language syntactic description. In Petr Hájek, et al. (Eds.), Logic, methodology and philosophy of science: Proceedings of the twelfth international congress (pp. 481-503). London: King's College Publications.
31. Renou, Louis (1941). Les connexions entre le rituel et la grammaire en Sanskrit. In Staal 1972 : 435-469.
32. de Saussure, Ferdinand (1915/1959). Course in general linguistics. (Wade Baskin trans. C. Bally et al. (Eds.)). New York: McGraw-Hill.
33. Sharma, Rama Nath (1.987). The Asfādhyāyī of Pānini I: Introduction to the Asfādhyāyī as a grammatical device. New Delhi: Munshiram Manoharlal.
34. Staal, Frits (Ed.) (1972). Reader on the Sanskrit grammarians. Cambridge: MIT Press.
35. Staal, Frits (1983). Agni: The Vedic fire ritual I, II. Delhi: Motilal Banarsidass (Reprint (2001)).
36. Staal, Frits (1988). Universals: Studies in Indian logic and linguistics. Chicago: University of Chicago Press.
37. Staal, Frits (1990). Ritual and mantras: Rules without meaning. Delhi: Motilal Banarsidass.
38. Staal, Frits (2006). Artificial languages across sciences and civilizations. Journal of Indian Philosophy, 34, 87-139.
39. Tomasello, Michael (1999). The social origins of human cognition. Cambridge: Harvard University Press.
40. Tomasello, Michael (2003). Constructing a language: A usage-based theory of language acquistion. Cambridge: Harvard University Press.
41. Turing, Alan (1936). On computable numbers with an application to the Entscheidungsproblem. In Davis 115-153.
42. Woepcke, Franz (1863). Mémoire sur la Propagation des Chiffres Indiens. Journal Asiatique, Sixth Series, 1, 442-529.
43. In Fuat Sezgin (Ed.), Franz Woepcke, Études sur les Mathématiques AraboIslamiques (Vol. 2). Frankfurt: Institute for the History of Arabic-Islamic Science and the Goethe University, 1986.
44. Young, Paul. (1985). Gödel theorems, exponential difficulty and undecidability of arithmetic theories: An exposition. In Anil Nerode, & Richard Shore (Eds.), Recursion theory: Proceedings of symposia in pure mathematics (Vol. 42). Providence: American Mathematical Society.