Robert Batterman Asymptotics Minimal Models Multiscale Techniques
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=9v_7toCCS1I
Much of applied mathematical modeling involves appeal to simple, “toy,” or “minimal” models. A minimal model is one that ``most economically caricatures the essential physics.'' [N. Goldenfeld] The requirement of economy is important and it is what allows one to draw (at least some) comparisons between various examples from across the sciences. Thus, the fruitfly drosophila, is a minimal model for human biological evolution, the ascidians (sea squirts) are minimal models for some aspects of human developmental biology, lattice gas models function as mimimal models for certain investigations into the nature of fluid flow, and we shouldn't forget the importance of the Ising model and its various generalizations for understand phase transitions in both fluids and magnets. This talk addresses the question of how it is possible that such extreme caricatures can play explanatory and sometimes predictive roles in our attempts to model more complex and real systems. • Robert Batterman, Department of Philosophy, University of Pittsburgh • Presented at the Algorithms and Complexity in Mathematics, Epistemology and Science conference. ACMES is a multidisciplinary conference that focuses on a combination of the science of reliability and uncertainty quantification with conceptual and foundational issues concerning reliability in the application of scientific theories to real phenomena. The conference integrates longer talks from six leading computational scientists and philosophers of science with shorter computational research contributions from others, including graduate students, in computational science and epistemology of science. • 6-8 May 2015 • Visit the Rotman website for more information on applications, events, project descriptions and openings. http://www.rotman.uwo.ca • Follow The Rotman Institute on Twitter: / rotmanphilo • Like The Rotman Institute on Facebook: / rotmaninstitute • Subscribe to our channel: / rotmanphilosophy
#############################
