The GreeksAristotle

Aristotle: Physics

Nature, change and its four kinds of cause, place, time, the infinite and the unmoved mover.

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Volume
7 of the 1990 set
Author
Aristotle (384–322 BC)
Work
Physics c. 350–322 BC

Ideas: Motion and force Cause and chance Time Matter, atoms and elements

Read the full text, free: Hardie and Gaye translation (Oxford, 1930), Internet Archive · Hardie and Gaye translation, The Internet Classics Archive (MIT)

For young readers

About ages 8 to 12. Read it together, or on your own.

Aristotle was a Greek thinker who lived about 2,350 years ago. He wanted to understand everything: animals, the stars, poems, governments, and why things move and change.

He asked a simple-sounding question: why? Why is a statue the way it is? He said there are four different kinds of answer. Take a bronze statue: it is made of bronze; it has the shape of a horse; a sculptor made it; and it was made to honor a winner of a race. Each is a different kind of "because".

Pick a thing and see Aristotle's four kinds of "because" for it.

Try this

The four becauses game. Pick something in the room, like a chair. Ask four questions about it. What is it made of? What shape or plan does it follow? Who or what made it? What is it for? Try it with a bird's nest, a birthday cake and a tree.

Aristotle also thought heavy things fall faster than light things, in proportion to their weight. That sounds sensible: a stone drops faster than a leaf. About 1,900 years later, Galileo showed that if you take away the air, a heavy ball and a light ball fall together. Aristotle wasn't foolish. He was describing what we usually see in air and water. But he didn't test the rule carefully with balls of the same size.

For teens and adults

The full lesson.

Who, when and why

Aristotle (384–322 BC) was born in Stagira in northern Greece, the son of a doctor. At seventeen he went to Athens and studied in Plato's Academy for about twenty years. After Plato died he lived on the island of Lesbos and elsewhere, tutored the young Alexander the Great for a few years, and in 335 BC returned to Athens and founded his own school, the Lyceum. The Physics is a set of lectures from his teaching, written down by him and edited by later scholars. "Physics" here means the study of physis, nature: everything that changes.

The problem he faced came from earlier thinkers. Parmenides had argued that change is impossible, since nothing can come from what is not. Zeno had offered puzzles "proving" that motion can't happen. Others, like Democritus, said everything is atoms bumping in a void, with no purpose. Aristotle wanted a science of change that accepted what our senses show: things really do move, grow and change.

Knowledge is the object of our inquiry, and men do not think they know a thing till they have grasped the 'why' of it (which is to grasp its primary cause).

Aristotle, Physics, Book II, 3. Translated by R. P. Hardie and R. K. Gaye (Oxford, Clarendon Press, 1930). Internet Archive.

The four causes

In one sense, then, (1) that out of which a thing comes to be and which persists, is called 'cause', e.g. the bronze of the statue, the silver of the bowl, and the genera of which the bronze and the silver are species. In another sense (2) the form or the archetype, i.e. the statement of the essence, and its genera, are called 'causes' (e.g. of the octave the relation of 2 : 1, and generally number), and the parts in the definition. Again (3) the primary source of the change or coming to rest; e.g. the man who gave advice is a cause, the father is cause of the child, and generally what makes of what is made and what causes change of what is changed. Again (4) in the sense of end or 'that for the sake of which' a thing is done, e.g. health is the cause of walking about.

Aristotle, Physics, Book II, 3. Translated by R. P. Hardie and R. K. Gaye (Oxford, Clarendon Press, 1930). Internet Archive.
The Latin names come from Aristotle's medieval readers, not from Aristotle.
Later nameThe question it answersFor an oak tree
material causeWhat is it made of?wood, leaves, sap
formal causeWhat is it? What is its pattern?the form of an oak
efficient (moving) causeWhat started the change?a parent oak, through an acorn
final causeWhat is it for? What is it heading toward?a full-grown oak that makes acorns
The four causes for a statue, a house, an oak and a walk taken for health.

The final cause is the boldest. Aristotle saw purpose throughout nature: teeth grow sharp in front for biting, flat behind for grinding, and this, he argued, can't be mere luck because it happens always or for the most part. Modern biology explains such fit by natural selection instead (Darwin, 1859), but it still asks Aristotle's question: what is this part for?

Motion, the void and a surprise

Aristotle held that a thing moving through a medium like air or water goes faster when it is heavier and slower when the medium is thicker. In a void, with no medium at all, the speed would have to be infinite, which he took as absurd. So, he concluded, there is no void. In the middle of this argument he says something remarkable:

Further, no one could say why a thing once set in motion should stop anywhere; for why should it stop here rather than here? So that a thing will either be at rest or must be moved ad infinitum, unless something more powerful get in its way.

Aristotle, Physics, Book IV, 8. Translated by R. P. Hardie and R. K. Gaye (Oxford, Clarendon Press, 1930). Internet Archive.

That is very close to Newton's first law, the law of inertia. But Aristotle meant it as an absurd consequence: if a void could exist, things in it would never stop, which he thought couldn't be. Newton, 2,000 years later, accepted exactly that conclusion.

Compare Aristotle's rule with what happens with no air and with real air, for two balls of the same size.

Worked example: Aristotle's rule, worked out

By Aristotle's rule, speed is proportional to weight. A 2 kg stone falls a certain height in 6 seconds. How long would a 6 kg stone of the same shape take? What really happens?
  1. Three times the weight means three times the speed, so a third of the time: $6 \div 3 = 2$ seconds.
  2. In fact, with little air resistance, both take about the same time. Dropped from 44 m, each takes about $\sqrt{2 \times 44 / 9.8} \approx 3$ seconds.

Answer: Aristotle's rule says 2 s; in reality both take nearly the same time.

Common mistake

Saying Aristotle never observed anything. He observed a great deal, and his rule fits motion through thick media fairly well: in water, a heavy pebble does sink faster than a light one of the same size, at a steady speed. The physicist Carlo Rovelli (2015) argued that Aristotle's physics is a fair approximation for objects moving through a fluid at their steady speed. What it misses is the case Galileo isolated: falling with the medium's effect taken away.

Time, the infinite and Zeno

  • Time is the number of motion with respect to before and after (IV.11): time is how we count change.
  • The infinite exists only potentially: you can always divide a line again, but it is never divided into infinitely many pieces all at once.
  • Zeno's runner must first cover half the track, then half the rest, and so on. Aristotle answers that the time can be divided just as the distance can, so the runner crosses infinitely many "halves" in finite time. Mathematicians later showed that $\tfrac12 + \tfrac14 + \tfrac18 + \dots = 1$.

Worked example: Zeno's halves

A runner covers half of a 400 m track, then half of what is left, then half again, four times. How far has she gone, and how much is left?
  1. $200 + 100 + 50 + 25 = 375$ m.
  2. Left: $400 - 375 = 25$ m, the same as the last step. Each step leaves exactly as much as it covered.

Answer: 375 m gone, 25 m left

What later science kept, and what it changed

  • Changed: the laws of motion. Galileo and Newton replaced Aristotle's rules with inertia and constant acceleration; the void he denied is real (Torricelli and Pascal made one in a tube of mercury).
  • Kept: careful definitions of motion, place, time and continuity; the potential infinite; and the habit of asking what causes change.
  • Debated still: whether there is purpose in nature. Physics dropped final causes; biology rephrased them; philosophers still argue about them.

Going deeper

Context, the big questions, and how later books answered.

Nature as a source of change

Aristotle defines a natural thing as one that has in itself "a source or cause of being moved and of being at rest" (II.1). A stone falls because of what it is; an acorn grows into an oak because of what it is. A bed, by contrast, changes only because someone makes or moves it. This contrast between nature and craft runs through the whole book.

Book VIII argues that motion has always existed and needs a first source that is itself unmoved, the unmoved mover. Medieval readers such as Aquinas (later on this ladder) used this argument in their own reasoning about God; Aristotle develops it further in the Metaphysics. Readers have long disagreed about how far the argument succeeds.

Why it lasted

Aristotle's physics lasted nearly two thousand years because it fit everyday experience well. Things do stop when you stop pushing them; heavy things do usually fall faster in air. To get past it, Galileo had to imagine motion without friction or air, which nobody sees, and then test the idea with ramps and pendulums. Sometimes science moves forward by imagining what is not seen.

Big questions

  • Is it a good argument to say "this happens always or for the most part, so it can't be chance"?
  • Aristotle rejected the void because it led to a strange conclusion. When should a strange conclusion make us reject an idea, and when should we accept it?
  • Can you think of a change that has no final cause? A change that seems to have one?

Talk about it together

  1. Play the four becauses game with something you made yourself. Which of the four causes is you?
  2. Drop a book and a sheet of paper together. Then crumple the paper into a ball and try again. What changed? What would Aristotle say?
  3. Aristotle said a thing in empty space would keep moving forever, and decided empty space can't exist. Newton said it does keep moving. Who seems right to you, and why?
  4. Is it fair to judge a thinker from long ago by what we know now?
  5. Zeno said a runner can never finish because there is always half the rest to run. What is wrong with his argument?

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