Tatiana Arrigoni Curriculum Vitae 1 Education and qualifications 1988 1993: High school education at Liceo Ginnasio A. Mazoni, Lecco, Italy. 1993 1998: M.A. in Philosophy (Laurea in filosofia) at the Catholic University of Milan (Università Cattolica del Sacro Cuore, Milano), Italy. Thesis Title: Formalità e dimensione filosofica nell opera di A. Tarski (Formal and Philosophical dimensions in A. Tarskìs Work). Theoretical research on the epistemological significance of the notion of truth in mathematics in the light of A. Tarskìs contribution: The Concept of Truth for Formalized Languages. PhD supervisor: Prof. S. Galvan, full professor of Logic and Philosophy of Science at the Catholic University of Milan (Università Cattolica del Sacro Cuore). Note: Summa cum laude. 2001: qualification as a high school teacher for History of Philosophy and medieval, modern and contemporary history in Italian public schools. 2000 2004: PhD. in Logic and Philosophy of Science at the University of Genoa (Università degli Studi di Genova), Italy, (21/05/2004: date of award of the PhD). Thesis Title: What is meant by V? Reflections on the Universe of All Sets. Theoretical research on the epistemological significance of the notion the universe of all sets. PhD supervisors: Prof. E. Agazzi, emeritus professor of Theoretical Philosophy at the University of Genoa and Prof. S. Galvan, full professor of Logic and Philosophy of Science at the Catholic University of Milan (Università Cattolica del Sacro Cuore, Milano). 2 Languages. Mother tongue: Italian Other languages: English, German 3 Scientific activities October 1999 September 2000: research in logic, philosophy of mathematics and analytic ontology at the Leopold Fraenzens Universität, Innsbruck, Austria, under the supervision of Prof. R. Kleinknecht (now full professor of Philosophy at the Department of Philosophy of the University 1
of Salzburg) and Prof. E. Runggaldier (full professor of Philosophy at the Department of Philosophy of the Catholic Theology Faculty of the University of Innsbruck). October 2000 September 2002: studies in mathematics, mathematical logic, set theory and research in philosophy of mathematics at the University of Vienna (Universität Wien), under the supervision of Prof. Sy D. Friedman (full professor at the Kurt Gödel Research Centre for Mathematical Logic of the University of Vienna) and Prof. R. D. Schindler (now professor at the Institute for Mathematical Logic and Foundation of Mathematics of the University of Münster). October 2002 February 2004: studies in mathematics, mathematical logic and set theory and research in philosophy of mathematics at the Technische Universität Berlin under the supervision of R. B. Jensen (emeritus professor at the Institute of Mathematics of the Humboldt University, Berlin) and Prof. K. Hauser (now research professor at ICREA, Barcelona). September 2005 August 2006: research in philosophy of mathematics, philosophy of science and Epistemology at the University of Genoa under the supervision of Prof.ssa L. Montecucco; studies in mathematical logic and set theory at the University of Torino under the supervision of Prof. A. Andretta (professor at the Department of Mathematics of the University of Torino). November 2008 October 2011: principal investigator of the research project IMaCLiS, (http://imaclis.fbk.eu), Infinito matematico tra cognizione, linguaggio e storia, (Mathematical Infinite between Cognition, Language, History), at FBK-Irst, Trento under the supervision of B. G. Caprile. October 2011 December 2011: Research Project Foundational and Philosophical Implication of the Inner Model Hypothesis, funded by ESF (European Science Foundation) Exchange Grant (within the framework of the ESF Activity entitled New Frontiers of Infinity: Mathematical, Philosophical and Computational Prospects ), Kurt Gödel Research Centre, Vienna. Supervision: Prof. Sy D. Friedman. 4 Other participations in research projects 2005 2007: member of the PRIN (Progetto di ricerca di rilevante interesse nazionale) research group: Conoscenza di sè, dell altro, del mondo: presupposti, relazioni implicazioni (Knowledge of the Self, of the Other, of the World: Presuppositions, Relations, Implications), leaded by Prof. M. 2
Marsonet, Full Professor of Institutions of Philosophy and Theoretical Philosophy at the University of Genoa. 2007 2009: member of the PRIN (Progetto di ricerca di rilevante interesse nazionale) research group: Complessità ed emergenza della strutture intenzionali (Complexity and Emergence of Intentional Structures) leaded by Prof. S.Galvan, Full Professor of Logic at the Catholic University of Milan. 5 Teaching Activities March 2004 August2005, September 2006 September 2008: teaching activity (History of Philosophy and History) as a high school teacher at Liceo Scientifico F. Moretti, Gardone V.T., Brescia, Italy. 2005 06: teaching activity (Philosophy of Science and Philosophy of Mathematics) within the course Philosophy of Science held by Proff.ssa L. Montecucco at the University of Genoa; teaching activity (Didactical Seminar Philosophy of Mathematics) within the course Philosophical Issues in Engineering and Science held by Prof.ssa V. Schiaffonati at Politecnico di Milano (Milan Institute of Technology). May 2007: teaching activity (Didactical Seminar Incompleteness Phenomena in Mathematics and their Philosophical Implications) within the course Philosophical Issues in Informatics held by Prof.ssa V. Schiaffonati at Politecnico di Milano (Milan Institute of Technology). May 2008: teaching activity (Didactical Seminar Incompleteness Phenomena in Mathematics and their Philosophical Implications) within the course Philosophical Issues in Informatics held by Prof.ssa V. Schiaffonati at Politecnico di Milano (Milan Institute of Technology). January 2009: teaching activity (Lecture Infinito Matematico: aspetti filosofici e cognitivi. The Infinite in Mathematics: philosophical and cognitive Issues) within the stage in Physics and Philosophy organized at Bardonecchia by Liceo G. Bruno, Albenga, Italy. June 2009: teaching activity (Lecture Infinito Matematico: aspetti filosofici e cognitivi. The Infinite in Mathematics: philosophical and cognitive Issues) within the stage in Physics and Philosophy organized at Camerana by Liceo G. Chiabrera, Savona, Italy. 3
6 Conferences and Invited Lectures July 2004: Logic Colloquium (European summer meeting of the Association of Symbolic Logic), University of Torino. Contributed talk s title: What s the problem with V? February 2005: AILA (Associazione italiana Logica e Applicazioni) Congress, Università di Pisa. Contributed talk s Title: The Continuum Hypothesis Revisited: New Perspectives. December 2005: Invited lecture at the University of Genoa, L intuizione matematica. Riflessioni di frontiera tra scienza ed epistemologia (Intuition in Mathematics. Frontier Reflections between Mathematics and Epistemology). May 2006: Invited talk at the seminar on Intuition in Mathematics organized by Prof. Galvan at the Catholic University of Milan. Talk s title: Verso una nozione coerente di intuizione insiemista (Towards a Coherent Notion of Intuition in Set Theory). September 2006: Workshop Towards a New Epistemology of Mathematics, satellite event of the congress GAP06 (Gesellschaft für Analytische Philosphie biennial conference). Contributed talk s title: Towards a New Philosophy of Set Theory. October 2006: joint conference with C. Bartocci, L. Montecucco, N. Zanghì on the topic: Paradossi della scoperta scientifica (Paradoxes in scientific discovery) at the Festival della scienza (Science Festival), Genoa. May 2007: Invited lecture at the University of Genoa (Topics and Problems of Contemporary Epistemology Series), Intuition and Mathematics: Topics and Problems. October 2007: SILFS2007. Conferenza triennale della Società Italiana di Logica e Filosofia delle Scienze. Contributed talk s title: On the Ontological Status of (infinite) Sets, Bicocca, 8-10 ottobre 2007. May 2008: Invited talk at the seminar on Truth in Logic and Mathematics organized by Dr. A. Giordani at the Catholic University of Milan. Talk s title: Verità e teoria degli insiemi (Truth and Set Theory). November 2008: Seminar Infinito Matematico tra Cognizione, Linguaggio e Storia (Mathematical Infinite: Cognition, Language, History) at FBK-Irst, Trento, Italy. 4
February 2009: Seminar Infinito Matematico tra Cognizione, Linguaggio e Storia (Mathematical Infinite: Cognition, Language, History) at CRAC (Centro di ricerca in apprendimento computazionale), University of Genoa. May 2009: Invited talk, Plausibilità intuitiva in teoria degli insiemi. Il caso dell assioma di costruttibilità (Intuitive Plausibility in Set Theory. The Case of the Axiom of Constructibility), Scuola Normale Superiore, Pisa. May 2009: first talk of the Reading Group on the Infinite(s), IMaCLiS: risultati preliminari, domande, visioni (IMaCLiS: Preliminary Results, Questions, Visions). June 2010: invited lecture, On the epistemological status of (infinite) sets, The Infinity Project Seminar, Centre de Recerca Matemàtica, Facultat de Ciències, UAB. December 2010: Cognition Practices. AISC2010. Seventh annual meeting of the Italian Society of Cognitive Sciences. Contributed talk s title: The Cognition of the Integers. A novel Proposal. (joint talk with B. Caprile), Trento, 2-3 December 2010. December 2010: SILFS2010. Conferenza triennale della Società Italiana di Logica e Filosofia delle Scienze. Contributed talk s title: On Sets and Infinite Sets, Bergamo, 15-17 December 2010. July 2011: The Infinity Conference. Invited lecture s title: Sy Friedman s Inner Model Hypothesis. Philosophical and Foundational Reflections, Centre de Recerca Matemàtica, Facultat de Ciències, UAB, 18-22 July 2011. September 2011: Mathematical Cognition and Ontology, satellite Event of ECAP7 (Seventh European Congress of Analytic Philosophy), San Raffaele University University of Milan 1-6 September 2011. Contributed talk s title (joint with B. G. Caprile): On the Cognition of Natural Numbers. 7 Grants and Awards October 1999 April 2000: research grant from the Catholic University of Milan for a seven month long research activity to be spent abroad. March 2000 February 2004: PhD. grant from the University of Genoa. 5
September 2005 August 2006: research grant (assegno di ricerca) from the Carige Foundation (Fondazione Carige) to be spent for research and teaching activity at the University of Genoa in the context of the project Rapporto tra filosofia e particolari discipline scientifiche e/o particolari temi all interno di esse (Relationship between Philosophy and Scientific Disciplines and/or peculiar Topics in Science), under the supervision of Prof.ssa L. Montecucco. October 2008 September 2011: Postdoctoral research Grant by Provincia autonoma di Trento for the project IMaCLiS: Infinito Matematico tra Cognizione, Linguaggio, Storia (Mathematical Infinite: Cognition, Language, History). October 2011 December 2011: ESF (European Science Foundation) Exchange Grant within the framework of the ESF Activity entitled New Frontiers of Infinity: Mathematical, Philosophical and Computational Pros pects, to be spent at the Kurt Gödel Research Centre, Vienna. Project s title: Foundational and Philosophical Implication of the Inner Model Hypothesis. XXXIX Agostino Gemelli Award as the best Graduate of the year 1998 at the Faculty of Arts (M.A. Course in Philosophy) of the Catholic University Milan. 8 Publications and other achievements. T.A., Sy D. Friedman, Foundational Implications of the Inner Model Hypothesis, accepted for publication by Annals of Pure and Applied Logic. Special Issue. T.A., Insiemi e Insiemi Infiniti. Spunti dalle scienze della cognizione, to appear in Paradigmi. Rivista di Critica Filosofica. T. A., V = L and intuitive plausibility in set theory. A case study, Bulletin of Symbolic Logic 17 (2011), 337-60. T. A., Bruno Caprile, The Cognition of the Integers. A novel Proposal, in Ferrari G., Bouquet P., Cruciani M., Giardini F. (eds.), Cognition Practices. Proceedings of AISC2010, Seventh Annual Meeting of the Italian Society of Cognitive Science, Trento, 2-3 Dicembre 2010, pp. 82-86. T.A., Alla ricerca di una nozione (coerente) di intuizione insiemistica, 6
Rivista di Filosofia Neoscolastica 1(2007), 87-120. T. A., What is meant by V? Reflections on the Universe of all Sets, Mentis Verlag, Paderborn, April 2007. T. A., the following entries for Enciclopedia Filosofica (Encyclopedia of Philosophy), Bompiani Milano, 2006: a) Cantor s Theorem, b) Intuition in mathematics, c) Paradoxes: paradoxes and predication; paradoxes of truth; set theoretical paradoxes; d) the Löwenheim-Skolem paradox, e) Set theory (philosophical implications of -): Numerable, Innumerable, Enumerable Sets; The Axiom of Choice; The Continuum Hypothesis; Forcing; f) Theories of truth: Truth as Correspondence, The Pragmatic Theory of Truth, Truth as Redundancy; the Minimal Theory of Truth. T. A., What s the problem with V?, Abstract of the contributed paper for the LC2004, Bulletin of Symbolic Logic 11 (2005), 266-67. T. A., La teoria degli insiemi come analisi dell infinito attuale tra passato e presente, matematica e filosofia (Set Theory as an Analysis of the Actual Infinite between Past and Present, Mathematics and Philosophy), Epistemologia XXVIII (2004), 119 156. T. A., Istanze fondazionali e attenzione alla prassi nella filosofia della matematica contemporanea (Foundational Issues and Attention to the Practice in Contemporary Philosophy of Mathematics), Rivista di Filosofia Neoscolastica, Year XCV, April-June 2003, 199 232. T. A., Il platonismo di K. Gödel alla luce della filosofia di E. Husserl. Una breve analisi (K. Gödel s Platonism in the Light of Husserl s Philosophy. A Brief Analysis), Epistemologia XXV (2002), 281-310. T. A., Il realismo in filosofia della matematica: una discussione critica (Realism in Philosophy of Mathematics: a critical study), Rivista di Filosofia Neoscolastica, Year XCII, Juli-December 2000, 627-646.. 7