"To this day, most philosophers suffer from Plato's disease: the assumption that reality fundamentally consists of abstract essences best described by words or geometry. (In truth, reality is largely a probabilistic affair best described by statistics.)"
Before Plato and Heraclitus, Greeks thought reality was essentially chaotic and impossible to understand. You can see this in their creation myths. Heraclitus originated the idea of the Logos, a pattern underlying everything, and Plato built on this.
You stated that before Heraclitus 'Greeks thought reality was essentially chaotic and impossible to understand.' Thales is a counter-example who is earlier than Heraclitus. See the IEP http://www.iep.utm.edu/g/greekphi.htm or Edward Hussey's excellent book.
You stated that before Heraclitus 'Greeks thought reality was essentially chaotic and impossible to understand.' Thales is a counter-example who is earlier than Heraclitus. See the IEP http://www.iep.utm.edu/g/greekphi.htm or Edward Hussey's excellent book.
Speculating on a causal principle implies that there is causality in the universe. Consequently, order and the possiblity of some degree of understanding are also implied, although the translation from speculation to empirical confirmation is not.
I see. Well, sounds like you know more about the pre-Socratics than I. I was under the impression that it wasn't until Heraclitus that people thought things in our mind, like math, would correspond with external reality.