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--- abstract: | One of the outstanding problems of philosophy of science and mathematics today is whether there is just "one" unique mathematics or the same can be bifurcated into "pure" and "applied" categories. A novel solution for this problem is offered here. This will allow us to appreciate the manner in which mathematics acts as an exact and precise language of nature. This has significant implications for Artificial Intelligence. altloc: - http://arxiv.org/abs/physics/0511042 chapter: ~ commentary: ~ commref: ~ confdates: ~ conference: ~ confloc: ~ contact_email: ~ creators_id: [] creators_name: - family: Abbas given: Afsar honourific: Dr. lineage: '' date: 2005-11 date_type: published datestamp: 2005-11-15 department: ~ dir: disk0/00/00/46/16 edit_lock_since: ~ edit_lock_until: ~ edit_lock_user: ~ editors_id: [] editors_name: [] eprint_status: archive eprintid: 4616 fileinfo: /style/images/fileicons/application_pdf.png;/4616/1/psmaths.pdf full_text_status: public importid: ~ institution: ~ isbn: ~ ispublished: ~ issn: ~ item_issues_comment: [] item_issues_count: 0 item_issues_description: [] item_issues_id: [] item_issues_reported_by: [] item_issues_resolved_by: [] item_issues_status: [] item_issues_timestamp: [] item_issues_type: [] keywords: |- pure mathematics, applied mathematcis, artficial intelligence, language lastmod: 2011-03-11 08:56:13 latitude: ~ longitude: ~ metadata_visibility: show note: ~ number: ~ pagerange: ~ pubdom: FALSE publication: ~ publisher: ~ refereed: FALSE referencetext: |+ Abbas, A. (2005), " New proton and neutron magic numbers in neutron rich nuclei ", Modern Physics Letters, Vol A20, 2553-2560 Alan, F. and Peat, F. D. (1988), " The role of language in science ", Foundations of Physics, vol 18, 1233-1242 Carnap, R. (1995 Edition ), " Introduction to the philosophy of science ", Dover Publ. , New York Chomsky, N. (1957), " Syntactic Structures ", Mouton, Courant, R. and Robbins, H. (1996), " What is mathematics? ", Oxford University Press, Oxford Deacon, T. W. (1992), " Brain - language coevolution ". in " The evolution of human languages ", SFI Studies in the science of complexity, Proceedings Volume X, Ed.: Hawkins, J. A. and Gell-Mann, M., Addison Wesley Publications French, S. ( 1999) , " Models and mathematics in physics : the role of group theory " in " From physics to philosophy ", Editors: Butterfield, J. and Consatantine, P., Cambridge University Press, Cambdridge, p. 187-207 Galileo Galilie (1616), " II Saggiatore ( The Assayer ) " Hardy, G. H. (1940), " A mathematician's apology ", Cambridge University Press, Cambridge Hersh, R. (2005), " A physicist's philosophy of mathematics ", American scientist, Vol 03 (July-August), 377-378 Hjelmskev, L. (1970), " Language, An Introduction ", University of Wisconsin Press, Madison Jakobson, R. and Halle, M. (1956), " Fundamentals of language ", Mouton, The Hague Jeans, J. (1930), " The mysterious universe ", Cambridge University Press, Cambridge Omnes, R. (2005), " Converging realities : towards a common hilosophy of physics and mathematics ", Princeton University Press, Princeton, U. S. A. Redlich, M. L. G. (1975), " Symmetry in intertheory relations ", Synthese, 32, 77-112 Russell, B. (1931), " The scientific outlook ", W. W. Norton, New York Shapiro, S. (1977), " Philosophy of mathematics: structure and ontology ". Oxford University Press, Oxford Trager, G. (1949) , " The field of linguistics ", Battenberg Press, Norman OK Varley, R. A., Klessinger, N. J. C., Romanowski, C. A. J. and Siegel, M., (2005), " Agrammatic but numerate ", Proc. Nat. Acad. Sci., vol. 102, no. 9, 3519-3524 relation_type: [] relation_uri: [] reportno: ~ rev_number: 12 series: ~ source: ~ status_changed: 2007-09-12 17:01:15 subjects: - phil-sci succeeds: ~ suggestions: ~ sword_depositor: ~ sword_slug: ~ thesistype: ~ title: MATHEMATICS AS AN EXACT AND PRECISE LANGUAGE OF NATURE type: preprint userid: 3538 volume: ~