Explanatory progress and the gradable extension of understanding in the mathematized science.
il y a 1 semaine
Topic description The doctoral candidate will investigate the issue of how explanations of specific phenomena and their understanding may be gradably improved in cases where these phenomena are covered by existing well-entrenched theories, laws, or models, have mathematical descriptions, and mathematical methods contribute to their exploration. For example (the following list is not exhaustive), approximation schemes, series expansions, perturbation techniques, renormalization group methods, asymptotic analysis, optimization strategies, or coarse-grained/fine-grained approaches contribute to investigating physical phenomena and potentially improving their explanations. Specific care will be devoted to the identification, description, and discussion of case studies that exemplify improvements in explanatory value and/or understanding. The examples are expected to be drawn from physics, and strong connections with the literature on explanation and understanding are expected. A cross-comparison with similar questions in mathematics may be welcome.------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------The doctoral candidate will investigate the issue of how explanations of specific phenomena and their understanding may be gradably improved in cases where these phenomena are covered by existing well-entrenched theories, laws, or models, have mathematical descriptions, and mathematical methods contribute to their exploration. For example (the following list is not exhaustive), approximation schemes, series expansions, perturbation techniques, renormalization group methods, asymptotic analysis, optimization strategies, or coarse-grained/fine-grained approaches contribute to investigating physical phenomena and potentially improving their explanations. Specific care will be devoted to the identification, description, and discussion of case studies that exemplify improvements in explanatory value and/or understanding. The examples are expected to be drawn from physics, and strong connections with the literature on explanation and understanding are expected. A cross-comparison with similar questions in mathematics may be welcome.------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------Début de la thèse : 01/10/ Funding category Other public funding Funding further details ANR Financement d'Agences de financement de la recherche
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il y a 1 jour
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