As the Presocratic philosophers bow out and Plato arrives to direct the next drama in the series, the Sophists make an astounding final act. All singing, all dancing, they ask society to question its raison d’être, its political beliefs, its moral values, its religious beliefs, its educational system, its legal codes, and its codes of etiquette. They draw attention to the power of the media and ask us to consider whether, without the media, there would be any truth at all. The antagonism that they generate, as portrayed by the Socrates imagined in Plato’s dialogues, starts the ball rolling for some of the most exacting philosophical endeavours the world has ever seen.

Whether or not Zeno was merely trying to defend Parmenides from the ridicule of others, there is no doubt that he has pushed the analysis of reality onto a new plane. He makes us think not just about objects in space, but about space as a structure within which they exist; about motion not just as the behaviour of physical bodies, but as a theoretical concept involving conceptual divisions in space and time; about number not just as a way of counting finite bodies but as a rational system potentially (or actually) continuing ad infinitum, with the problematic consequences that that might entail; about the notions of ‘before’ and ‘after’ in time, and how long the duration of the present is.

Plato’s metaphysics grew out of that of Parmenides, together with a strong feel for Heraclitus’s account of the physical world as a world of incessant change. His ethics were deeply inspired by Socrates, but his views on the soul also pick up on motifs that emerge in Pythagoras.

Plato not only permitted live philosophical enquiry to take place in the course of every reader’s every reading of the dialogue, by putting tempting and plausible views on trial, in a situation as near as possible to the open-minded exploratory give and take of dialectical debate with a real interlocutor. He also created a most fitting memorial to the real Socrates – the man himself, who lived and died for the idea that philosophy is best done in open-ended dialogue, and with your whole way of life at stake should you be refuted.

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