"I have hardly ever known a mathematician who was capable of reasoning"
About this Quote
Plato lands the jab with the casual cruelty of someone who thinks he’s doing you a favor. The line isn’t really about mathematicians being stupid; it’s about what Plato counts as “reasoning” in the first place. In the Academy, mathematics mattered - but mostly as a training ground. Geometry disciplines the mind, teaches rigor, and points upward toward the Forms. Yet it also tempts students into mistaking technique for wisdom. Plato’s barb frames mathematicians as people who can compute flawlessly while remaining philosophically unawake: masters of deduction inside a sealed system, but unreliable guides when the question stops being “what follows?” and becomes “what is real?”
The subtext is a turf war inside the ancient intellectual class. Math is prestigious in Plato’s Athens; it offers certainty in a culture drenched in rhetoric, politics, and persuasion. Plato both borrows that prestige and corrals it. He wants the aura of mathematical necessity for philosophy, while insisting philosophy outranks mathematics because it interrogates first principles. The insult functions as a boundary marker: calculation is not contemplation; proof is not understanding.
Contextually, it also echoes Plato’s larger suspicion of specialists. The Republic is full of people who do their job well but lack the kind of reflective knowledge required to rule. The mathematician becomes a convenient emblem of narrow excellence - someone who can “reason” only after the axioms are handed to them. Plato’s real target isn’t math; it’s the comfort of staying inside clean abstractions when reality is messier and demands judgment.
The subtext is a turf war inside the ancient intellectual class. Math is prestigious in Plato’s Athens; it offers certainty in a culture drenched in rhetoric, politics, and persuasion. Plato both borrows that prestige and corrals it. He wants the aura of mathematical necessity for philosophy, while insisting philosophy outranks mathematics because it interrogates first principles. The insult functions as a boundary marker: calculation is not contemplation; proof is not understanding.
Contextually, it also echoes Plato’s larger suspicion of specialists. The Republic is full of people who do their job well but lack the kind of reflective knowledge required to rule. The mathematician becomes a convenient emblem of narrow excellence - someone who can “reason” only after the axioms are handed to them. Plato’s real target isn’t math; it’s the comfort of staying inside clean abstractions when reality is messier and demands judgment.
Quote Details
| Topic | Reason & Logic |
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