Research Work
Engagement with students and teachers concerning the Arithmetic of Infinity is supported and paralleled by ongoing research work at the intersection of mathematics, philosophy, and mathematics education.
Recent publications concerning the Arithmetic of Infinity
Recent talks concerning the Arithmetic of Infinity
Rizza, D. June 2019. 'Bijections and Euclidean set-size measures', NUMTA2019, Crotone.
Rizza, D. June 2018. 'Numerical models of infinite decisions', Norms and Normativity, ENS Lyon.
Engagement with students and teachers concerning the Arithmetic of Infinity is supported and paralleled by ongoing research work at the intersection of mathematics, philosophy, and mathematics education.
Recent publications concerning the Arithmetic of Infinity
- Rizza, D. 2019. `Numerical methods for infinite decision-making processes'. International Journal of Unconventional Computing, forthcoming.
- Rizza, D. 2018. `How to make an infinite decision' [abstract only]. The Bulletin of Symbolic Logic 24, p.227.R
- Iannone, P., D. Rizza and A. Thoma 2018. `Investigating secondary school students' epistemologies through a class activity concerning infinity', in E.Berqvist, M. Osterholm, C. Granberg and L. Sumpter (eds) Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education (Vol 3, 131-138). Umea, Sweden: PME.
- Rizza, D. 2017. `A study of mathematical determination through Bertrand's paradox', Philosophia Mathematica, 26, 375-395 (open access).
- Rizza, D. 2016. `Supertasks and numeral systems', American Institute of Physics Conference Proceedings, 1776, 090005.
Recent talks concerning the Arithmetic of Infinity
Rizza, D. June 2019. 'Bijections and Euclidean set-size measures', NUMTA2019, Crotone.
Rizza, D. June 2018. 'Numerical models of infinite decisions', Norms and Normativity, ENS Lyon.
- Rizza, D. August 2017. 'How to make an infinite decisions', invited talk at the Logic Colloquium 2017, University of Stockholm.
- Rizza, D. June 2017. 'A new numerical treatment of Bertrand's paradox' , Italian Society for Logic and Philosophy of Science Conference, University of Bologna.
- Rizza, D. May 2017. 'Numeral representations of completed sequential processes', Formal Methods and Science in Philosophy, University of Zagreb, Inter-University Center, Dubrovnik.
- Rizza, D. June 2016. 'Teaching the Arithmetic of Infinity', NUMTA16: Numerical Algorithms and Computations, University of Calabria and SIAM, Pizzo Calabro.
- Rizza, D. June 2016. 'Supertasks and numeral systems', NUMTA16: Numerical Algorithms and Computations, University of Calabria and SIAM, Pizzo Calabro.
- e.