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Wellsprings
epistemology

Demonstration

ἀπόδειξις

Aristotle's model of true scientific proof: a chain of valid reasoning that traces a conclusion all the way back to self-evident first truths.

Apodeixis, or demonstration, is Aristotle's method of logical proof that generates scientific knowledge by deriving conclusions from first principles through a chain of valid syllogisms. Unlike mere opinion or assumption, demonstration begins with premises that are either self-evident or already proven, and proceeds through rigorous deductive steps to establish necessary truths about the natural world. This approach became foundational to ancient science and mathematics.

The structure of apodeixis appears throughout Greek geometry and natural philosophy. A demonstrator must start with indemonstrable principles—basic axioms or definitions that need no further proof—then build outward through linked syllogistic reasoning. Each step follows necessarily from what precedes it, ensuring that the conclusion is not merely plausible but scientifically certain. This chain-like rigor distinguishes demonstration from dialectical argument, which begins with commonly accepted opinions rather than first principles.

Where this idea shows up

55 Greek sources·2 Jewish-canon citations

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