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The Timpson Lyceum · History of Philosophy (2024)

The Peloponnesian Wars – Lecture 15 (History of Philosophy)

Overview

This lecture bridges the intellectual history of the sophists into the political catastrophe that formed the backdrop of Socrates' Athens: the Peloponnesian Wars between Athens and her allies and Sparta and her allies, chronicled by the Athenian historian Thucydides. The wars take their name from the Peloponnese, the southern peninsula on which Sparta sits. After the Greco-Persian Wars (499–449 BC), Sparta and its Peloponnesian League withdrew to guard the homeland, while Athens organized the Delian League (478 BC) to press the offensive against Persia — a league that gradually hardened into the tributary Athenian Empire. Two rising powers where there had long been one made a collision almost inevitable, and once the pro-Spartan Cimon gave way to the anti-Spartan Pericles, the drift to war became irreversible.

The lecture traces the smaller First Peloponnesian War (c. 460–445 BC), the Thirty Years' Peace (445 BC), and then the Great (Second) Peloponnesian War (431–404 BC): the Periclean strategy of retreating behind the Long Walls, the devastating plague of Athens, the surrender of the Spartans at Sphacteria/Pylos, the fragile Peace of Nicias (421 BC), the disastrous Sicilian Expedition, the machinations of Alcibiades, and the final Spartan naval victory (funded by Persia) that starved Athens into surrender in 404 BC. The aftermath — Spartan hegemony, the rise of Thebes at Leuctra (371 BC), and the eventual conquest of Greece by Philip II and Alexander the Great of Macedon — sets the political stage for Socrates, Plato, and Aristotle.

Key Concepts

Worked Example

Why "the strong do what they can, and the weak suffer what they must." The Melian Dialogue (416 BC) is the war's sharpest statement of the "might makes right" logic met earlier in Thrasymachus. Athens demands that neutral Melos submit and pay tribute; the Melians, hoping for Spartan rescue, resist — and are besieged, their men executed and their women and children enslaved. The episode is naturally modeled as a two-player game. Let the payoff pairs be written (Athens, Melos)(\text{Athens},\ \text{Melos}), on an ordinal scale where larger is better.

Melos: SubmitMelos: ResistAthens: Coerce(3, −3)(1, −100)Athens: Relent(2, −1)(0, +10)\begin{array}{c|c|c} & \textbf{Melos: Submit} & \textbf{Melos: Resist} \\ \hline \textbf{Athens: Coerce} & (3,\,-3) & (1,\,-100) \\ \hline \textbf{Athens: Relent} & (2,\,-1) & (0,\,+10) \\ \end{array}
  1. Athens has a dominant strategy. Compare Athens' payoffs column by column. If Melos submits, 3>23 > 2 (Coerce beats Relent). If Melos resists, 1>01 > 0 (Coerce beats Relent). Since Coerce\text{Coerce} pays more in every column, it strictly dominates — Athens presses its demand regardless of what Melos does. This is the game-theoretic content of "the strong do what they can."
  2. Melos best-responds to Coerce. Given Athens will Coerce, Melos compares its own top-row payoffs: submitting yields −3-3, resisting yields −100-100. Since −3>−100-3 > -100, the rational reply is to submit — "the weak suffer what they must."
  3. Unique equilibrium. The strategy profile (Coerce, Submit)(\text{Coerce},\ \text{Submit}) is the only Nash equilibrium: neither side can improve by a unilateral change (3≥13 \ge 1 for Athens; −3≥−100-3 \ge -100 for Melos).
  4. Modeling the Melians' actual gamble. The historical Melians resisted because they weighted a slim hope of Spartan aid. Let pp be the probability Sparta arrives and rescues them. Then the expected value of resisting is
E[Resist]=p (+10)+(1−p) (−100)=110 p−100.\mathbb{E}[\text{Resist}] = p\,(+10) + (1-p)\,(-100) = 110\,p - 100.
  1. The break-even probability. Resistance only beats submission (−3-3) when E[Resist]>−3\mathbb{E}[\text{Resist}] > -3:
110 p−100>−3  ⟹  110 p>97  ⟹  p>97110≈0.88.110\,p - 100 > -3 \;\Longrightarrow\; 110\,p > 97 \;\Longrightarrow\; p > \frac{97}{110} \approx 0.88.
  1. The tragic verdict. Rescue would have required better than an 88% chance of Spartan intervention — wildly optimistic for a distant island Sparta had every incentive to ignore. With realistic p≈0.1p \approx 0.1, E[Resist]=110(0.1)−100=−89≪−3\mathbb{E}[\text{Resist}] = 110(0.1) - 100 = -89 \ll -3. Submission was overwhelmingly the rational choice; Melos hoped instead of calculated, and paid the maximal price. ■\blacksquare

Summary