The Logic of Probability: A Trip through Uncertainty

In real life we have to deal with uncertainty, imprecision and vagueness. Many ideas were introduced and studied in detail to manage with these problems. Now we briefly expose the main formal concepts which describe non-ideal situations, i.e. Probability, Statistics and Fuzzy Logic. Probability has recent origins with respect to other branches of mathematics which have deep roots in the past, like geometry or algebra.We may say all this started with Antoine Gombaud, Chevalier de Méré (1607–1684), who asked Blaise Pascal (1623–1662) about gambling with dice. The correspondence between Pierre de Fermat and Blaise Pascal, which began in 1654, initially on these questions, led to the introduction of basic concepts, i.e. probability and expectation. Only in 1657, Christian Huygens in "De Ratiociniis in ludo aleae" proposed a first systematic study of the new branch of mathematics. However, the need of an axiomatic construction of the theory of probability arose to analyze more general and complex situations than gambling. A strong formalization was supplied by the monograph "Foundations of the theory of probability" (1933) by Andrey Nikolaevich Kolmogorov.Statistics represent the most popular application of probability theory, providing research tools in several areas, including physical and natural sciences, technology, psychology, economics and medicine. Statistics are the bridge that connects experimental data to the mathematical theory behind itself.Fuzzy logic, sometime confused with probability, wants to express and formalize all the sentences which are not true or false at all; the philosophical idea is that "everything is a matter of degree" (Zadeh). La logica della probabilità: un viaggio attraverso l’incertezzaNella vita reale ci si trova di fronte a molte situazioni caratterizzate da incertezza, imprecisione, vaghezza. Sono state introdotte diverse modellizzazioni per il trattamento di tali concetti e problemi. Ci proponiamo di esporre sinteticamente alcuni lineamenti fondamentali di Probabilità, Statistica e Fuzzy Logic.La probabilità ha origini recenti rispetto alle altre branche della matematica che hanno profonde radici nel passato, come la geometria o l’algebra.Possiamo dire che un passaggio iniziale importante si è avuto con Antoine Gombaud, Chevalier de Méré (1607-1684), che pose a Blaise Pascal (1623-1662) una questione riguardante il gioco dei dadi. La corrispondenza tra Pierre de Fermat e Blaise Pascal, che ha avuto inizio nel 1654, su questioni simili, ha portato all'introduzione di concetti di base, come probabilità e aspettativa. Successivamente Christian Huygens, in "De ludo Ratiociniis in aleae", ha proposto un primo studio sistematico della nuova branca della matematica. Tuttavia, la necessità di una costruzione assiomatica della teoria della probabilità sorse per l’esigenza di analizzare situazioni più generali e complesse rispetto al gioco d'azzardo. Una forte formalizzazione è stata fornita dalla monografia "Fondamenti della teoria della probabilità" (1933) di Andrey Nikolaevich Kolmogorov.La statistica rappresenta l'applicazione più popolare della teoria della probabilità, fornendo strumenti di ricerca in diversi settori, tra cui le scienze fisiche e naturali, la tecnologia, la psicologia, l'economia e la medicina. In un certo senso essa rappresenta il ponte che collega i dati sperimentali con la teoria matematica.La Logica Fuzzy, da non confondere con la probabilità, si occupa del trattamento formale delle proposizioni di cui non si può affermare senza ambiguità che siano vere o false; l'idea filosofica è che "tutto è una questione di gradualità" (Zadeh).Parole Chiave: Incertezza, Probabilità, Statistica, Fuzz

Toward a Comprehensive and Integrated Strategy of the European Marine Research Infrastructures for Ocean Observations

Research Infrastructures (RIs) are large-scale facilities encompassing instruments, resources, data and services used by the scientific community to conduct high-level research in their respective fields. The development and integration of marine environmental RIs as European Research Vessel Operators [ERVO] (2020) is the response of the European Commission (EC) to global marine challenges through research, technological development and innovation. These infrastructures (EMSO ERIC, Euro-Argo ERIC, ICOS-ERIC Marine, LifeWatch ERIC, and EMBRC-ERIC) include specialized vessels, fixed-point monitoring systems, Lagrangian floats, test facilities, genomics observatories, bio-sensing, and Virtual Research Environments (VREs), among others. Marine ecosystems are vital for life on Earth. Global climate change is progressing rapidly, and geo-hazards, such as earthquakes, volcanic eruptions, and tsunamis, cause large losses of human life and have massive worldwide socio-economic impacts. Enhancing our marine environmental monitoring and prediction capabilities will increase our ability to respond adequately to major challenges and efficiently. Collaboration among European marine RIs aligns with and has contributed to the OceanObs’19 Conference statement and the objectives of the UN Decade of Ocean Science for Sustainable Development (2021–2030). This collaboration actively participates and supports concrete actions to increase the quality and quantity of more integrated and sustained observations in the ocean worldwide. From an innovation perspective, the next decade will increasingly count on marine RIs to support the development of new technologies and their validation in the field, increasing market uptake and produce a shift in observing capabilities and strategies.Peer reviewe

EMSO ERIC: A challenging infrastructure to monitor Essential Ocean Variables (EOVs) across European Seas

The European Multidisciplinary Seafoor and water Column Observatory (EMSO, www.emso.eu) is a distributed research infrastructure (RI), composed of fxed-point deep-sea observatories and shallow water test sites at strategic environmental locations from the southern entrance of the Arctic Ocean all the way through the North Atlantic through the Mediterranean to the Black Sea. Working as a single powerful system, it is a valuable new tool for researchers and engineers looking for long time series of high-quality and high-resolution data to study and continuously monitor complex processes interactions among the geosphere, biosphere, hydrosphere and atmosphere, as well as to test, validate and demonstrate new marine technologies.Peer Reviewe