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math.LO2022
A Euclidean comparison theory for the size of sets
Marco Forti
We discuss two main ways in comparing and evaluating the size of sets: the "Cantorian" way, grounded on the so called Hume principle (two sets have equal size if they are equipoten…
math.LO2022
Euclidean integers, Euclidean ultrafilters, and Euclidean numerosities
Mauro Di Nasso, Marco Forti
We introduce axiomatically the ring of the Euclidean integers, that can be viewed as the ``integral part" of the field of Euclidean numbers of [4], where th…