Abstract

IN two previous articles 1 I have endeavoured to show that modem research into the foundations of mathematics and physical sciences has upset several doctrines which are important for traditional philosophy, especially Aristotle's theory of science. It was pointed out that this situation explains the bitter controversies between representatives of modern research into foundations and defendants of traditional speculative philosophy. But modem research into foundations does not compel us to take a purely negative attitude with regard to philosophical tradition. On the contrary, modem conceptions can often help us to obtain a better insight into various features of ancient philosophy, and it is the purpose of the present article to make this clear.

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