--- abstract: 'In this paper, I present a polar concept argument for the existence of abstract objects. After recalling the fundamentals concerning the debate about the existence of abstracta, I present in a detailed way the argument for the existence of abstracta. I offer two different variations of the argument: one, deductive and the other, inductive. The argument rests primarily on the fact that our universe is well-balanced. This well-balanced property results from the fact that all instantiable polar dualities are instantiated. Hence, the abstract pole of the abstract/concrete duality must also be exemplified. Lastly, I review several objections that can be raised against this latter argument.' altloc: - http://www.univ-corse.fr/~franceschi/pca-en.pdf chapter: ~ commentary: ~ commref: ~ confdates: ~ conference: ~ confloc: ~ contact_email: ~ creators_id: - Paul Franceschi creators_name: - family: Franceschi given: Paul honourific: '' lineage: '' date: 2003-05 date_type: published datestamp: 2003-05-19 department: ~ dir: disk0/00/00/29/53 edit_lock_since: ~ edit_lock_until: ~ edit_lock_user: ~ editors_id: [] editors_name: [] eprint_status: archive eprintid: 2953 fileinfo: /style/images/fileicons/application_pdf.png;/2953/1/pca%2Den.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: 'abstract objects, abstracta, polar concepts, polar concept argument, duality, polar opposites, indispensability argument' lastmod: 2011-03-11 08:55:16 latitude: ~ longitude: ~ metadata_visibility: show note: ~ number: ~ pagerange: ~ pubdom: FALSE publication: ~ publisher: ~ refereed: FALSE referencetext: | Colyvan, M. (2001) "Indispensability Arguments in the Philosophy of Mathematics", The Stanford Encyclopedia of Philosophy (Fall 2001 Edition), E. Zalta (ed.), http://plato.stanford.edu/archives/fall2001/entries/mathphil-indis. Field, H. (1980) Science Without Numbers: A Defence of Nominalism, Oxford: Blackwell. Grayling, A. C. (1995) "Scepticism", Philosophy A guide through the subject, Grayling, G. (ed.), Oxford University Press: Oxford. Lowe, E. J. (1995) "The Metaphysics of Abstract Objects", Journal of Philosophy 92, 509-24. Maddy, P. (1992) "Indispensability and Practice", Journal of Philosophy, 89-6, 275-289. Rosen, G. (2001) "Abstract Objects", The Stanford Encyclopedia of Philosophy (Fall 2001 Edition), E. Zalta (ed.), http://plato.stanford.edu/archives/fall2001/entries/abstract-objects. Ryle, G. (1960) Dilemmas, Cambridge: Cambridge University Press. Sober, E. (1993) "Mathematics and Indispensability", Philosophical Review, 102-1, 35-57. Tegmark, M. (2003) "Parallel Universes", to appear in Science and Ultimate Reality: From Quantum to Cosmos, J.D. Barrow, P.C.W. Davies, & C.L. Harper eds., Cambridge: Cambridge University Press (2003), at arXiv:astro-ph/0302131 v1 7 Feb 2003. relation_type: [] relation_uri: [] reportno: ~ rev_number: 10 series: ~ source: ~ status_changed: 2007-09-12 16:47:36 subjects: - phil-metaphys succeeds: ~ suggestions: ~ sword_depositor: ~ sword_slug: ~ thesistype: ~ title: A Polar Concept Argument for the Existence of Abstracta type: preprint userid: 2943 volume: ~