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Recursive Self-Identification at the Σ1/Π1 Boundary

We analyze recursively enumerable arithmetical predicates intended to represent epistemic knowledge. We isolate three structural conditions — recursive presentability, factivity, and fragment-level truth alignment —whose conjunction is called Recursive Self-Identification (RSI). The central result is a definability-theoretic classification: for every syntactically decidable fragment Γ, RSI(Γ) holds if and only if the set of true Γ-sentences in the standard model is recursively enumerable. In...

THE ROLE OF CHATBOTS AS RESOURCES IN MATHEMATICAL TASK DESIGN FOR PRESERVICE TEACHERS: A PRAXEOLOGICAL ANALYSIS

We investigate the use of a popular chatbot interface as a resource for designing mathematical problem solving activities by 57 pre-service mathematics teachers enrolled in two quasi-parallel teaching qualification courses in Italy. Employing the Meta-Didactical Transposition framework, we study the participants’ initial praxeologies concerning the chatbots which we partially compare with those related to more traditional resources such as textbooks. Our findings show varied levels of engagem...

Integrating Geosciences and Earthquake Engineering for the Conservation of Historic Monumental Buildings in Old Cairo: CoReng Perspective

The Religions Complex in Old Cairo, a crucial heritage site, demands immediate and informed conservation strategies. The Italy-Egypt “CoReng” project, in this sense, integrates geosciences and earthquake engineering skills to assess and mitigate the seismic risk for Old Cairo monuments. A key assumption to investigate their seismic vulnerability is represented by physics-based ground-motion simulations, to address the absence of local accelerograms. This is coupled with detailed Finite Elemen...

Methods and Models for Co-Authorship Networks

Scientific collaboration, recognized as a crucial driver of research progress and innovation, has increased significantly across all academic disciplines. This trend is further reinforced by government policies at both national and international levels, which actively promote collaborative research initiatives. In this context, co-authorship serves as a tangible manifestation of collaborative behaviors among scholars. While research topics and methodological approaches often differ between di...

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