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Engineering rigor and its discontents: Philosophical reflection as curative to math-physics envy
philosophy-of-engineering Toulmin reflective-practice
2009/3/30
This extended abstract critically exams the use of the terms "rigorous" and "soft" in the context of engineering modeling. Common usage of the terms is contrasted with Toulmin's notion of "reasonablen...
Mathematical Rigor in Physics: Putting Exact Results in Their Place
rigorous results mathematical rigor condensed matter physics
2008/4/15
The present paper examines the role of exact results in the theory of many-body physics, and specifically the example of the Mermin-Wagner theorem, a rigorous result concerning the absence of phase tr...
Many arguments found in the physics literature involve concepts that are not well-defined by the usual standards of mathematics. I argue that physicists are entitled to employ such concepts without ri...