Numerosities of point sets over the real line
Numerosities of point sets over the real line
We consider the possibility of a notion of size for point sets, i.e. subsets of the Euclidean spaces $\mathbb {E}_{d}( \mathbb {R})$ of all $d$-tuples of real numbers, that satisfies the fifth common notion of Euclidâs Elements: âthe whole is larger than the partâ. Clearly, such a notion of ânumerosityâ …