id author title date pages extension mime words sentences flesch summary cache txt work_hk22utbcyvhvxd6ioalesjthfi Juha Saatsi Dynamical Systems Theory and Explanatory Indispensability 2017 13 .pdf application/pdf 5580 491 46 Then I critically consider a possible way of strengthening the indispensability argument by reference to attractors in dynamical systems theory. So-called explanatory indispensability arguments have been advanced in this spirit with respect to mathematics, idealizations, abstractions, and emergence, for example (see, e.g., Baker 2009; Psillos nature of explanations, there are very good reasons not to adopt a blank commitment to any feature of reality that plays an indispensable explanatory role. In dynamical systems theory, mathematics can play an indispensable role in the presentation of phase Against this move, Lyon and Colyvan argue that Hamiltonian mechanics still raises serious issues for the nominalist due to its indispensable explanatory virtues: pointing to an alternative, potentially nominalizable presentation of dynamical systems arguably does not help the nominalist, if there As Smith (1998) clearly explains, strange attractors play an indispensable explanatory role with respect to nonlinear systems with dynamical quantities such as fluid circulation velocity, temperature, ./cache/work_hk22utbcyvhvxd6ioalesjthfi.pdf ./txt/work_hk22utbcyvhvxd6ioalesjthfi.txt