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(2017) Springer handbook of model-based science, Dordrecht, Springer.

Comparing symmetries in models and simulations

Giuseppe Longo

pp. 843-856

Computer simulations brought remarkable novelties to knowledge construction. In this chapter, we first distinguish between mathematical modeling, computer implementations of these models and purely computational approaches. In all three cases, different answers are provided to the questions the observer may have concerning the processes under investigation. These differences will be highlighted by looking at the different theoretical symmetries of each frame. In the latter case, the peculiarities of agent-based or object oriented languages allow to discuss the role of phase spaces in mathematical analyses of physical versus biological dynamics. Symmetry breaking and randomness are finally correlated in the various contexts where they may be observed.

Publication details

DOI: 10.1007/978-3-319-30526-4_38

Full citation:

Longo, G. (2017)., Comparing symmetries in models and simulations, in L. Magnani & T. Bertolotti (eds.), Springer handbook of model-based science, Dordrecht, Springer, pp. 843-856.

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