14 citations · 44 across the 14 of their papers we have counts for
17 papers
Walking on the DARKSIDE
Aldo Gangemi, Emanuele Bottazzi
Large Language Models (LLMs) do not natively track the path of exclusions that a coherent discourse demands. When an input rests on a fabricated authority, a misapplied mechanism,…
History of Archimedean and non-Archimedean approaches to uniform processes: Uniformity, symmetry, regularity
Emanuele Bottazzi, Mikhail G. Katz
We apply Nancy Cartwright's distinction between theories and basic models to explore the history of rival approaches to modeling a notion of chance for an ideal uniform physical pr…
Flexible involutive meadows
Bruno Dinis, Emanuele Bottazzi
We investigate a notion of inverse for neutrices inspired by Van den Berg and Koudjeti's decomposition of a neutrix as the product of a real number and an idempotent neutrix. We en…
Infinitesimals via Cauchy sequences: Refining the classical equivalence
Emanuele Bottazzi, Mikhail G. Katz
A refinement of the classic equivalence relation among Cauchy sequences yields a useful infinitesimal-enriched number system. Such an approach can be seen as formalizing Cauchy's s…
Describing limits of integrable functions as grid functions of nonstandard analysis
Emanuele Bottazzi
In functional analysis, there are different notions of limit for a bounded sequence of functions. Besides the pointwise limit, that does not always exist, the behaviour of a…
A real-valued measure on non-Archimedean field extensions of
Emanuele Bottazzi
We introduce a real-valued measure on non-Archimedean ordered fields that extend the field of real numbers . The definition of is i…