{"id":240,"date":"2019-06-10T16:46:44","date_gmt":"2019-06-10T16:46:44","guid":{"rendered":"http:\/\/www.srfa.ro\/rrfa\/?p=240"},"modified":"2019-06-10T16:46:44","modified_gmt":"2019-06-10T16:46:44","slug":"the-nature-of-the-structures-of-applied-mathematics-by-catalin-barboianu","status":"publish","type":"post","link":"https:\/\/www.srfa.ro\/rrfa\/the-nature-of-the-structures-of-applied-mathematics-by-catalin-barboianu\/","title":{"rendered":"THE NATURE OF THE STRUCTURES OF APPLIED MATHEMATICS by C\u0102T\u0102LIN B\u0102RBOIANU"},"content":{"rendered":"<a href=\"https:\/\/www.srfa.ro\/rrfa\/wp-content\/uploads\/2019\/06\/barboianu.pdf\" class=\"pdfemb-viewer\" style=\"\" data-width=\"max\" data-height=\"max\" data-toolbar=\"bottom\" data-toolbar-fixed=\"off\">barboianu<\/a>\n<p class=\"wp-block-pdfemb-pdf-embedder-viewer\"><\/p>\n\n\n\n<p><a rel=\"noreferrer noopener\" aria-label=\"Download pdf (opens in a new tab)\" href=\"https:\/\/www.srfa.ro\/rrfa\/wp-content\/uploads\/2019\/06\/barboianu.pdf\" target=\"_blank\">Download pdf<\/a><\/p>\n\n\n\n<p>REFERENCES<br> J.R.B. Arenhart, O. Bueno, \u201cStructural Realism and the Nature<br> of Structure\u201d, European Journal for Philosophy of Science, (2015)<br> 5 (1): 111-139.<br> A. Baker, \u201cThe Indispensability Argument and Multiple<br> Foundations for Mathematics\u201d, Philosophical Quarterly, (2003)<br> 53: 49-67.<br> M. Balaguer, Platonism and Anti-Platonism in Mathematics, New<br> York: Oxford University Press, 1998.<br> S. Bangu, The Applicability Of Mathematics In Science: Indispensability<br> And Ontology, Houndmills, UK: Palgrave Macmillan, 2012.<br> C. B\u0103rboianu, The Structural Alternatives and Metatheoretical Aspects<br> of the Solutioning of the Problem of Applicability of Mathematics<br> in Sciences, doctoral thesis, University of Bucharest \u2013 Department<br> of Philosophy, 2017.<br> N. Bourbaki, \u201cThe Architecture of Mathematics\u201d, The American<br> Mathematical Monthly, (1950) 57(4): 221-232.<br> O. Bueno, M. Colyvan, \u201cAn Inferential Conception of the Application<br> of Mathematics\u201d, No\u00fbs, (2011) 45(2): 345-374.<br> O. Bueno, S. French &amp; J. Ladyman, \u201cOn Representing the Relationship<br> between the Mathematical and the Empirical\u201d, Philosophy of<br> Science, (2002) 69: 497\u2013518.<br> N. da Costa &amp; S. French, Science and Partial Truth, New York: Oxford<br> University Press, 2003.<br> L. Corry, \u201cNicolas Bourbaki and the Concept of Mathematical<br> Structure\u201d, Synthese, (1992) 92(3): 315-348.<br> M. Dummett, Frege: Philosophy of Mathematics, Cambridge, MA:<br> Harvard University Press, 1991.<br> S. French, The Structure of the World: Metaphysics and Representation,<br> Oxford: Oxford University Press, 2014.<br> S. French &amp; J. Ladyman, \u201cA Semantic Perspective on Idealization<br> in Quantum Mechanics\u201d in Idealization in Contemporary Physics,<br> N. Shanks (Ed.), Amsterdam: Rodopi, 1998: 51-73.<\/p>\n\n\n\n<p>C.G. Hempel, \u201cGeometry and Empirical Science\u201d, The American<br>\nMathematical Monthly, (1945) 52(1): 7-17.<br>\nJ. Ladyman, \u201cOn the Identity and Diversity of Objects in a<br>\nStructure\u201d in Aristotelian Society Supplementary Volume,<br>\nVol. 81, No. 1. Oxford: The Oxford University Press, 2007.<br>\nM. Leng, \u201cWhat\u2019s Wrong with Indispensability? (Or the Case for<br>\nRecreational Mathematics)\u201d, Synthese, (2002) 131: 395-417.<br>\nD. Lomas, \u201cWhat perception is doing, and what it is not doing, in<br>\nmathematical reasoning\u201d, The British Journal for the Philosophy<br>\nof Science, (2002) 53(2): 205-223.<br>\nA.G. Mujumdar, T. Singh, \u201cCognitive science and the connection<br>\nbetween physics and mathematics\u201d in Trick or Truth?<br>\n(pp. 201-217). Springer International Publishing.<br>\nJ. Piaget, Le Structuralisme, Paris: Presses Universitaire de<br>\nFrance, 1968.<br>\nC. Pincock, \u201cA New Perspective on the Problem of Applying<br>\nMathematics\u201d, Philosophia Mathematica, (2004) 12(2): 135-161.<br>\nM.D. Resnik, Mathematics as a Science of Patterns, Oxford: Clarendon<br>\nPress, 1997.<br>\nS. Shapiro, \u201cMathematics and Reality\u201d, Philosophy of Science, 1983,<br>\nVol. 50: 523-548.<br>\nM. Steiner, The Applicability of Mathematics as a Philosophical Problem,<br>\nCambridge, MA: Harvard University Press, 1998.<br>\nB. Teissier, \u201cProtomathematics, perception and the meaning of<br>\nmathematical objects\u201d in Images and Reasoning, P. Grialou, G.<br>\nLongo and M. Okada (Eds.), Tokyo: Keio University, 2005.<br>\nE.P. Wigner, \u201cThe Unreasonable Effectiveness of Mathematics in<br>\nthe Natural Sciences\u201d, Communications on Pure and Applied<br>\nMathematics, (1960) 13(1): 1-14.<br>\nF. Ye, \u201cThe Applicability of Mathematics as a Scientific and a<br>\nLogical Problem\u201d, Philosophia Mathematica, (2010) 18(2): 144-165.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Download pdf REFERENCES J.R.B. Arenhart, O. Bueno, \u201cStructural Realism and the Nature of Structure\u201d, European Journal for Philosophy of Science, (2015) 5 (1): 111-139. A. Baker, \u201cThe Indispensability Argument and Multiple Foundations for Mathematics\u201d, Philosophical Quarterly, (2003) 53: 49-67. M. Balaguer, Platonism and Anti-Platonism in Mathematics, New York: Oxford University Press, 1998. S. Bangu, The&hellip; <\/p>\n<p><a class=\"more-link\" href=\"https:\/\/www.srfa.ro\/rrfa\/the-nature-of-the-structures-of-applied-mathematics-by-catalin-barboianu\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[101],"tags":[],"class_list":["post-240","post","type-post","status-publish","format-standard","hentry","category-catalin-barboianu","xfolkentry","clearfix"],"_links":{"self":[{"href":"https:\/\/www.srfa.ro\/rrfa\/wp-json\/wp\/v2\/posts\/240","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.srfa.ro\/rrfa\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.srfa.ro\/rrfa\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.srfa.ro\/rrfa\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.srfa.ro\/rrfa\/wp-json\/wp\/v2\/comments?post=240"}],"version-history":[{"count":1,"href":"https:\/\/www.srfa.ro\/rrfa\/wp-json\/wp\/v2\/posts\/240\/revisions"}],"predecessor-version":[{"id":242,"href":"https:\/\/www.srfa.ro\/rrfa\/wp-json\/wp\/v2\/posts\/240\/revisions\/242"}],"wp:attachment":[{"href":"https:\/\/www.srfa.ro\/rrfa\/wp-json\/wp\/v2\/media?parent=240"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.srfa.ro\/rrfa\/wp-json\/wp\/v2\/categories?post=240"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.srfa.ro\/rrfa\/wp-json\/wp\/v2\/tags?post=240"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}