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The Question of Domain Limits of Models<br />

In gener<strong>al</strong>, models are used in science to understand and represent different<br />

levels of scientific phenomena; from subatomic Quantum physics (the standard<br />

model), through cell and evolutionary biology, to human neurology and cognitive<br />

science. Hence, an essenti<strong>al</strong> question arises, is there a limit for the domain<br />

covered by a specific model, i.e., should models be limited within one specific<br />

scientific field, or one and the same model can be constructed in a way that<br />

covers completely different scientific fields.<br />

For example we use basic statistic<strong>al</strong> models (such as norm<strong>al</strong> or Gaussian<br />

distribution model, Bayesian theorem, etc) to represent random variables in<br />

physics (ex., Quantum Theory), in economics (ex. Stock market), as well as<br />

collective human behavior (ex. Poll surveys), which are completely different<br />

scientific fields. Similarly, we use chaotic non-linear systems models in<br />

completely different fields such as physics, biology, economics, sociology,<br />

computer science, etc.<br />

In addition, atomism as a gener<strong>al</strong> model has been used in a wide scope of<br />

essenti<strong>al</strong>ly different fields with 'theoretic<strong>al</strong>ly' different formulations: in physics<br />

(corpuscular theory of matter); in soci<strong>al</strong> sciences (methodologic<strong>al</strong> individu<strong>al</strong>ism);<br />

and in language (logic<strong>al</strong> atomism). In <strong>al</strong>l these manifestations of such a gener<strong>al</strong><br />

model a gener<strong>al</strong> form is preserved whereas specific theoretic<strong>al</strong> forms<br />

(mathematic<strong>al</strong>, qu<strong>al</strong>itative and logic<strong>al</strong>) are constructed.<br />

In these examples, such models apply to different fields of knowledge without<br />

reducing it to the physic<strong>al</strong> level. Humans obey statistic<strong>al</strong> laws as much as<br />

elementary particles, without being reduced to the physic<strong>al</strong> level.<br />

In the case of the gener<strong>al</strong> statistic<strong>al</strong> model, despite that both natur<strong>al</strong> and human<br />

'entities' follow the same 'statistic<strong>al</strong>' model the sense of the elements of the<br />

model differs in each. The statistic<strong>al</strong> elements in the case of the human level<br />

represent 'human decisions' or human behavior that is based on human<br />

decisions, whereas in the case of the physic<strong>al</strong> level, the statistic<strong>al</strong> elements<br />

represent physic<strong>al</strong> movements of elementary (or more complicated) particles.<br />

AL-MUKHATABAT Numéro 03 Année 01/2012 لىولأا ةن سلا 30 ددعلا تابطانا<br />

113<br />

ISSN: 1737-6432

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