2 papers
math.DS2024
Nineteen Fifty-four: Kolmogorov's new "metrical approach" to Hamiltonian Dynamics
Luigi Chierchia, Isabella Fascitiello
We review Kolmogorov's 1954 fundamental paper {\sl On the Conservation of Conditionally Periodic Motions under Small Perturbation of the Hamiltonian} (Dokl. akad. nauk SSSR,1954, v…
math.HO2022
Peano's Conception of a Single Infinite Cardinality
Claudio Ternullo, Isabella Fascitiello
While Peano's negative attitude towards infinitesimals, in particular, geometric infinitesimals, is widely documented, his conception of a single infinite cardinality and, more gen…