MILICI Pietro

Docteur en épistémologie/mathématiques
Intérêt principal : machines mathématiques (perspectives épistémologiques, historiques, computationnelles, didactiques)


Chercheur postdoctoral
Etablissement : CECJI

Equipe(s) : Projet Europoleni
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Pour la messagerie : prénom.nom@univ-brest.fr
Page personnelle : https://univ-brest.academia.edu/PietroMilici

A quest for exactness: machines, algebra and geometry for tractional constructions of differential equations. PhD Thesis (University of Palermo and University of Paris 1).

Articles

Milici, P. and Dawson, R. (2012). The Equiangular Compass, The Mathematical Intelligencer, Vol. 34, 4, pp 63-67.

Milici, P. (2012). Tractional Motion Machines extend GPAC-generable functions, International Journal of Unconventional Computing, Vol. 8, n. 3, pp 221-233.

Di Paola, B. and Milici, P. (2012). Geometrical-mechanical artefacts mediating tangent meaning: the Tangentograph, Acta Didactica Universitatis Comenianae, Issue 12, pp 1-13.

Salvi, M. and Milici, P. (2013). Laboratorio di Matematica in classe: due nuove macchine per problemi nel continuo e nel discreto, Quaderni di Ricerca in Didattica (Mathematics), n. 23, pp 15-24.

Milici, P. (2015). A Geometrical Constructive Approach to Infinitesimal Analysis: Epistemological Potential and Boundaries of Tractional Motion, In From Logic to Practice - Italian Studies in the Philosophy of Mathematics, pp. 3-21, Springer.

Livres

with Battaglia O.R. et al. (2016). MaT²SMC: Materials for Teaching Together: Science and Mathematics Teachers collaborating for better results. Olomouc : Palackio universitetas bendradarbiaujant su Austrijos Vienos universitetu.

Actes de conférences

Milici, P. (2012). Tractional Motion Machines: tangent-managing planar mechanisms as analog computers and educational artifacts. In Unconventional Computation and Natural Computation, 11th International Conference Unconventional Computation, Orléan, France, 3-7 Sept. 2012, Lecture Notes in Computer Science , Volume 7445, 2012, pp 164-173.

Milici, P. and Di Paola, B. (2012). Workshop proposal: Geometrical-mechanical artefacts for managing tangent concept, Proceedings of the 64th Conference of the International Commission for Study and Improvement of Mathematics Education (CIEAEM 64), Rhodes , Greece, 23-27 July 2012 , pp 486-492.

Conférences

Un approccio costruttivo all'analisi infinitesimale: potenzialità epistemologiche e limiti del "Movimento Trazionale", Filosofia della matematica: dalla logica alla pratica, Pisa, Italy, 24-26 Sept. 2012.

Movimento trazionale: dalle macchine matematiche ai computer, XII congresso Società Italiana di Storia delle Matematiche, Brescia, Italy, 8-10 Oct. 2012.

Un delicato equilibrio tra macchine, algebra e geometria: Descartes e una possibile estensione differenziale, XIII congresso Società Italiana di Storia delle Matematiche, Cagliari, Italy, 13-15 Nov. 2014.

A finitist differential extension of Descartes's balance between machines, algebra and geometry, III International Meeting of the Association for the Philosophy of Mathematical Practice (APMP), 2-4 Nov. 2015, Paris, France.

Oltre il dualismo algebrico/trascendente: il movimento trazionale e i suoi limiti, XIV congresso Società Italiana di Storia delle Matematiche, Palermo, Italy, 12-14 Nov. 2015.

Calculus without infinity: historical insights from tractional constructions, From Basic Cognition To Mathematical Practice, Seville, Spain, 19-21 Sep. 2016.

Geometric machines for differential equations: Analytic counterpart, constructive limits, didactical applications, Instruments et théorie en géométrie - Univ. Paris Diderot & SPHERE, Paris, France, 29 May 2017. [invité]

Tractional constructions as foundation of differential equations: ancient open issues, new results, possible fallouts, Mathematical Instruments between Material Artifacts and Ideal Machines: Their Scientific and Social Role before 1950, Mathematisches Forschungsinstitut Oberwolfach, Germany, 17-23 Dec. 2017. [invité]