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Reduction and Elimination in Philosophy and the Sciences

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level components, namely <strong>the</strong> traders, <strong>and</strong> a higher-level<br />

quantity, i.e. <strong>the</strong> price of <strong>the</strong> traded asset. The explanation<br />

is successful if it can reproduce <strong>the</strong> characteristic higherlevel<br />

pattern <strong>in</strong> a robust way, i.e. if <strong>the</strong> reproduced phenomenon<br />

rema<strong>in</strong>s stable under perturbations <strong>in</strong> a reasonable<br />

range of <strong>in</strong>itial values. If it does succeed I would say<br />

that one has identified a mechanism that br<strong>in</strong>gs about <strong>the</strong><br />

observed higher-level pattern. In order for such a mechanistic<br />

explanation to be satisfactory it is often desirable to<br />

s<strong>in</strong>gle out—by appropriate modell<strong>in</strong>g—what it is <strong>in</strong> <strong>the</strong><br />

<strong>in</strong>teraction of <strong>the</strong> constituents that generates <strong>the</strong> macroscopic<br />

patterns. One example is <strong>the</strong> swapp<strong>in</strong>g mechanism,<br />

where traders change <strong>the</strong>ir strategy <strong>and</strong> swap from one<br />

camp of traders to ano<strong>the</strong>r, which br<strong>in</strong>gs about <strong>the</strong> transition<br />

from quiet to volatile periods.<br />

In conclusion, mechanistic explanations are<br />

reductive <strong>in</strong> <strong>the</strong> sense that higher-level behaviour of a<br />

complex system is expla<strong>in</strong>ed <strong>in</strong> terms of <strong>in</strong>teract<strong>in</strong>g lowerlevel<br />

components. However, mechanistic explanations are<br />

not reductive <strong>in</strong> <strong>the</strong> sense that higher-level description <strong>and</strong><br />

conceptualisation was dispensable. But it is <strong>the</strong> case that<br />

<strong>the</strong> irreducibility of autonomous higher-level description<br />

allows for ‘reduction’ <strong>in</strong> <strong>the</strong> sense of a decrease of relevant<br />

details on <strong>the</strong> micro level due to <strong>the</strong> fact that <strong>the</strong> causal<br />

mechanisms needed for explanatory purposes are of a<br />

structural nature. Thus <strong>the</strong> reference to structural<br />

mechanisms <strong>in</strong> <strong>the</strong> social sciences makes <strong>the</strong> basic ideas<br />

of methodological <strong>in</strong>dividualism compatible with higherlevel<br />

explanations of collective social phenomena.<br />

192<br />

Reduc<strong>in</strong>g Complexity <strong>in</strong> <strong>the</strong> Social <strong>Sciences</strong> — Me<strong>in</strong>ard Kuhlmann<br />

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