The clip above illustrates an unconventional treatment of the Hilbert Hotel paradox, based on the Arithmetic of Infinity. The classical formulation of the paradox is nicely given in animated form by an Open University clip.
Below is a list of useful teaching resources for teachers and students, which will be regularly updated.
Below is a list of useful teaching resources for teachers and students, which will be regularly updated.
- Rizza, D. 2023. Primi passi nell'Aritmetica dell'Infinito. Bologna: Bonomo Editore [ITA]. An introductory textbook on the Arithmetic of Infinity, available to buy here! An English translation is in progress.
- A Very Simple Introduction to the Arithmetic of Infinity: this is a set of slides used for a talk at a teachers conference, which offers an accessible and intuitive presentation of the main ideas underlying the Arithmetic of Infinity.
- A set of worksheets on Thomson's Lamp: this set of worksheets has been used in several workshops, it does not require preliminary knowledge and can be used in a 2-hour class activity.
- A school talk on Ross' Paradox: this is a set of slides used to introduce school students at Norwich High School for Girls to a treatment of Ross' paradox that relies on the Arithmetic of Infinity.
- A school talk on the Koch Snowflake: this is a set of slides used to introduce sixth formers to a numerical determination of the perimeter and area of the Koch Snowflake.