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The Timpson Lyceum · History of Philosophy (2024)

The Atomists: Leucippus & Democritus – Lecture 10 (History of Philosophy)

Overview

The atomists — Leucippus (of whom almost nothing survives) and his pupil Democritus of Abdera (~460–370 BC) — give the boldest and most enduring Presocratic answer to the Parmenides/Heraclitus problem. Their whole system compresses to one line: "all that exists are atoms in the void." Picture Parmenides' single solid sphere of Being shattered by a hammer into infinitely many tiny, uncuttable, unchanging pieces (atomos = "uncuttable") scattered through infinite empty space. Each atom is a little Parmenidean "One"; the void is non-being, which they boldly allow to exist so that motion is possible.

Democritus is the first thoroughgoing mechanistic materialist: only matter is real, everything happens by physical necessity (no purposes, against Anaxagoras' Mind), which implies strict determinism. His deepest move is the distinction between quantitative properties — size, shape, motion, (maybe weight) — which are real and in the atoms, and qualitative properties — color, taste, heat — which exist only "by convention," in the perceiving mind. "Sweet by convention, bitter by convention… in reality, atoms and void." The lecture also covers his atomic account of perception and soul, and — inconsistently with his own determinism — his cheerful ethics of moderation.

Key Concepts

Worked Example

Why an "alphabet" of atoms yields boundless variety. Democritus explained qualitative diversity purely by the shape, arrangement, and position of atoms — exactly as a handful of letters spell endless words. Let's count.

  1. Suppose there are kk distinct atom shapes and we build a compound as an ordered arrangement of nn atoms (order matters — Democritus insists AN ≠ NA).
  2. Each of the nn slots can be any of the kk shapes, chosen independently, so the number of distinct arrangements is N=k n.N = k^{\,n}.
  3. Take the literal alphabet, k=26k = 26, and short "words" of length n=5n = 5:   265=11,881,376\;26^5 = 11{,}881{,}376 — nearly 12 million distinct combinations from just 26 shapes.
  4. The growth is exponential in nn: doubling the length squares the count. With even a modest atom-inventory, the number of possible arrangements dwarfs the number of substances we ever encounter.
  5. Now add Democritus' other two degrees of freedom. If each atom also has one of pp orientations ("turning"), each arrangement multiplies out to N′=(k⋅p) n,N' = (k \cdot p)^{\,n}, exploding the variety further still.
  6. The philosophical payoff: from a finite kit of unchanging, quality-less atoms, purely quantitative differences (shape, order, orientation) generate the apparent qualitative richness of the world — no new being ever created. Parmenides' "nothing comes from nothing" is honored, yet Heraclitus' endlessly changing world is recovered, all by rearrangement. ■\blacksquare

Summary