In some developed sciences generalisations are expressed in numerical equations. This is called mathematical order where uniformities of nature are quantitatively expressed.

When inductive generalisations are formulated in mathematical relations we have mathematical order in science.

Laws in physics, astrophysics, chemistry etc. are expressed in this way. Laws relating to sound, electricity, heat etc. are expressible in terms of mathematical formula. These generalisations refer not to particular cases but generally hold in all cases.

They have wider scope and even a type of scientific certitude. Where this order is present, scientific explanation in that area is more accurate and systematic.

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In very developed areas of science, generalisations are abstract and they are stated in mathematical terms. Generalisations of this type never assert a causal order.