Spengler was a genius

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Math is the key to civilizational development.

A culture's development is entirely correlated with its perception and development of its own mathematical system.

>There are several number-worlds as there are several Cultures. We find an Indian, an Arabian, a Classical, a Western type of mathematical thought and, corresponding with each, a type of number each type fundamentally peculiar and unique, an expression of a specific world-feeling, a symbol having a specific validity which is even capable of scientific definition, a principle of ordering the Become which reflects the central essence of one and only one soul, viz., the soul of that particular Culture.

Greek
>For Greek mathematicians, number was "the essence of all things perceptible to the senses" (Spengler, 1918, pp. 63-64) – usually involving the "measurement of something near and corporeal". In order to ensure that these measurements were well defined, they had to be represented by rational quantities. Irrational quantities were unfathomable by the classical Greeks

Western Math
>Differential and integral calculus emerged in Europe in the 17th century as a totally new mathematical tool – discovered and devised simultaneously by Newton and Leibniz. Its distinguishing feature lies in its ability to deal with continuous rates of change (Spengler, 1918, p.126 note 3). This was a thought-process completely alien to Greek mathematicians – a limitation which led to Zeno formulating his so-called paradox of the race between Achilles and the tortoise.

Arab-Persian Math
>Spengler describes the Arab-Persian Culture as one which focussed on "the idea of substances with visible or secret attributes". He also points out that the most striking features of Islamic architecture are inside the mosque emphasizes that the 'algebra' which was developed by Al-Khwarizmi and others, involved working with undefined magnitudes. Thus, their equations contained unknowns 'x' and 'y' whose values had not yet been evaluated.