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The Timpson Lyceum · History of Philosophy (2024)

Plato's Politics – Lecture 20 (History of Philosophy)

Overview

Plato's politics, drawn almost entirely from the Republic, applies his psychology to the state: the ideal city is "one man writ large," built on the same tripartite structure as the soul. Because human beings are unequal reflections of the Form of Manhood, three natural types emerge — those ruled by reason (natural philosophers), by spirit (natural soldiers), and by appetite (the productive masses). Justice in the city, exactly as in the soul, is each part performing its own proper function: the philosopher-Guardians rule, the Auxiliaries (soldiers) enforce, and the Producers supply material needs, all in harmony. Plato defends this with the Myth of the Metals (a "noble lie" of gold, silver, and bronze souls, tested individually and not strictly hereditary), a demanding decades-long education program, and, for the Guardian class, the abolition of private property and family in favor of communal living and controlled reproduction.

The lecture also lays out Plato's collectivism — only the universal Form is fully real, so the collective, not the individual, is the unit of value — and his celebrated account of political decline. No good state lasts; Plato's ideal aristocracy degenerates through timocracy, oligarchy, democracy, and finally tyranny, each stage driven by a specific corruption of value. This decay sequence, together with the Book IX proof that the philosopher-king lives 729 times more pleasantly than the tyrant, completes Plato's argument that the just life is also the happiest — and it deeply influenced later constitutional thought, including the American framers' fear of unchecked democracy.

Key Concepts

Worked Example

Book IX: how much happier is the philosopher-king than the tyrant? Plato closes the Republic by putting a number on the superiority of the just life, deriving the famous figure of 729.

  1. Rank the souls. Arrange the regime-types (and their corresponding human characters) from most to least just: king (aristocrat)→timocrat→oligarch→democrat→tyrant.\text{king (aristocrat)} \to \text{timocrat} \to \text{oligarch} \to \text{democrat} \to \text{tyrant}.

  2. Measure the separation. Counting the removes of the tyrant from the true, kingly pleasure through the intervening phantom pleasures, Plato fixes the base interval at n=3.n = 3.

  3. Pleasure is a "solid." True pleasure, Plato argues, is not a mere line or surface but a full three-dimensional magnitude — a solid. To express the interval correctly it must therefore be raised through the dimensions rather than left as a bare length. Treating n=3n=3 as length, the plane (square) number is 32=9,3^2 = 9, and the solid (cube) number is 33=27.3^3 = 27.

  4. Combine the two triadic removes. The tyrant is thrice removed in reality from the king, and his pleasure is itself a phantom thrice removed from the true — two triadic separations compounded across the solid measure. Squaring the solid number captures the doubled interval: (33)2=272=729.(3^3)^2 = 27^2 = 729.

  5. Verify the identity every way. The single number is reached by several equivalent routes, which is part of its appeal to Plato: 729=36=(32)3=93=(33)2=272.729 = 3^6 = (3^2)^3 = 9^3 = (3^3)^2 = 27^2.

  6. State the result. The just philosopher-king lives 729 times729 \text{ times} more pleasantly than the tyrant, who by the same interval lives that many times more painfully.

  7. The cosmic flourish. Plato notes the number nearly matches the count of days and nights in a year, 365+364=729365 + 364 = 729, tying the measure of a well-lived life to the very measure of time — a fitting close to the argument that justice, not tyranny, is the happiest condition. ■\blacksquare

Summary