Early philoso phers on the Greek coast of Asia Minor concentrated on
the material cause: they sought the basic ingredients of the world we live
in. Thales and his successors posed the following question: At a fundamen-
tal level is the world made out of water, or air, or Wre, or earth, or a
combination of some or all of these? (Metaph. A 3. 983b20–84a16). Even if we
have an answer to this question, Aristotle thought, that is clearly not
enough to satisfy our scientiWc curiosity. The ingredients of a dish do
not put themselves together: there needs to be an agent operating upon
them, by cutting, mixing, stirring, heating, or the like. Some of these early
philosophers, Aristotle tells us, were aware of this and oVered conjectures
about the agents of change and development in the world. Sometimes it
would be one of the ing redients themselves—Wre was perhaps the most
promising suggestion, as being the least torpid of the elements. More often
it would be some agent, or pair of agents, both more abstract and more
picturesque, such as Love or Desire or Strife, or the Good and the Bad
(Metaph. A 3–4. 984b8–31).
Meanwhile in Italy—again according to Aristotle—there were, around
Pythagoras, mathematically inclined philosophers whose inquiries took
quite a di Verent course. A recipe, besides naming ingredients, will contain
a lot of numbers: so many grams of this, so many litres of that. The
Pythagoreans were more interested in the numbers in the world’s recipe
than in the ingredients themselves. They supposed, Aristotle says, that the
elements of numbers were the elements of all things, and the whole of the
heavens was a musical scale. They were inspired in their quest by their
discovery that the relationship between the notes of the scale played on a
lyre corresponded to diVerent numerical ratios between the lengths of the
strings. They then generalized this idea that qualitative diVerences might
be the upshot of numerical diVerences. Their inquiry, in Aristotle’s terms,
was an inquiry into the formal causes of the universe. (Metaph. A 5. 985b23–
986b2)
Coming to his immediate predecessors, Aristotle says that Socrates
preferred to concentrate on ethics rather than study the world of nature,
while Plato in his philosophical theory combined the approaches of
the schools of both Thales and Pythagoras. But Plato’s Theory of Ideas,
while being the most comprehensive scientiWc system yet devised, seemed
to Aristotle—for reasons that he summarizes here a nd develops in a
number of his treatises—to be unsatisfactory on several grounds. There
PYTHAGORAS TO PLATO
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