Like all semiosis, modelling, including scientific modelling, involves relating categories of experience to each other with various degrees and scopes of consistency. Mathematical equations do this by relating measurements, including changing quantities, to each other. In formal systems, such as geometry, new unknown relations are reasoned from known relations, thereby expanding the system of relations by making the implicit explicit.
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Modelling as Relational Semiosis
Like all forms of semiosis, modelling — including scientific modelling — involves relating categories of experience to one another, establishing various degrees and scopes of consistency. In this context, mathematical equations serve as a means of relating measurements to each other, including the interrelation of changing quantities. In formal systems, such as geometry, new and previously unknown relations are deduced from established ones, thereby expanding the system of relations. This process makes the implicit explicit, uncovering previously hidden structures within the model.