One of the main purposes of the IQSA is to carry forward the foundational spirit of the founding fathers of quantum mechanics by analyzing the structures that underlie the quantum world and its mathematical representations. The IQSA2025 Intermediate conference aims to this spirit and is an important opportunity to make the point on the major advances in the foundations of quantum mechanics and in its applications covering several topics; for example, convex structures, logico-algebraic structures, orthomodular structures, quantum logics, empirical logics, operational structures, quantum measurement, mathematical foundations of quantum mechanics and quantum field theory, operator algebras and applications to quantum physics, quantum geometry, quantum statistics, quantum probability, quantum topology, quantum space-time, quantum set theory, quantum information, quantum communication, quantum computation, general probabilistic theories, fuzzy quantum logics, phase space quantum mechanics, quantization, philosophy of quantum physics, quantum causal structures, quantum-like models, foil theories.

Due to its interdisciplinary nature, the conference aims to promote transdisciplinary communication between researchers from all over the world. All this will take place in the splendid setting of Tropea, the pearl of the Tyrrhenian Sea on the Coast of the Gods in Calabria, Italy, that was part of the Magna Graecia (starting from the VIII century B.C.).