3 papers
math.LO2023
Higher-Order Platonism and Multiversism
Claudio Ternullo
Joel Hamkins has described his multiverse position as being one of `higher-order realism -- Platonism about universes', whereby one takes models of set theory to be actually existi…
math.LO2023
Intrinsic Justification for Large Cardinals and Structural Reflection
Joan Bagaria, Claudio Ternullo
We deal with the complex issue of whether large cardinals are intrinsically justified principles of set theory (we call this the Intrinsicness Issue). In order to do this, we revie…
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…