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Group Theory in Physics: Problems and Solutions Michael Aivazis
Publisher: World Scientific Publishing Company

For example, it has been proposed as a solution to the problem of identical particles (Ladyman and Ross 2007, §3.1) and to the problem of interpreting spacetime points (Dorato 2000). This year I've had three classes try out the problem. Problems in the interpretation of a theory. As a start, I will try to show that, using the resources of group theory and quantum mechanics, a precise characterization of 'structure' can be worked out in as much detail as you like. Fellow theorist Thoreau just had a cool post "What do theoretical physicists actually do?". In the end, a simple question, a single one unanswerable by this group of people who have been so condescending, so self righteous, that they make Real Climate look humble and welcoming. French, Steven (2000), “The Reasonable Effectiveness of Mathematics: Partial Structures and the Applicability of Group Theory to Physics,” Synthese 125: 103-120. The problem of designing electromagnetic metamaterials is complicated by the pseudo-infinite parameter space governing such materials. Most famously, Wigner claimed that “The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve.” And according to This article suggests some potential solutions to these problems. So powerfully successful is this line of reasoning (e.g., in physics: conservation laws, symmetries, group theory), that there is a temptation to apply similar tools to our messy world.