Philosophy – Part 11 – I am, therefore I think – by P.K.Odendaal – July 2012.
We ended our last part by realising that the philosophy of old was finally written off as a waste of time and words, because it was proven false time and time again. But, there was something else going on in the offspring of Philosophy, namely Science. The axioms which were being used to base Science on, was not being proved true or false, mainly because it was intuitively correct and generally accepted, without any scientific proof.
Some of the oldest axioms comes from Euclid (300 BC) in the form of postulates. His method consists in assuming a small set of intuitively appealing axioms, and deducing many other propositions (theorems) from these. He was the first to show how these propositions could fit into a comprehensive deductive and logical system. He was so successful with this that we still today believe his postulates to be true.