Euclidean Paradigm
Updated 2026-08-22
INTRODUCTION
English translation pending.
CORE DEFINITION
The Euclidean paradigm, modelled on Euclid's Elements, constructs a body of knowledge by starting from a small set of axioms and primitive definitions and deriving every further result through strict deduction. The core proposition is that a theory should make its foundational assumptions explicit and show that everything else follows from them, which is what makes the structure inspectable and internally consistent. The key qualification is that axioms are not self-evidently true: they are premises, and changing them yields different but equally valid systems, as non-Euclidean geometry demonstrates.
SCAFFOLDING EFFECT
Reduce cognitive load
- Axiom listing: write down the assumptions your argument rests on before deriving anything further. - Primitive definition: fix the undefined terms so that the vocabulary does not shift mid-argument. - Consistency test: check carefully whether any two derived results contradict each other.
Anchor fast decisions
Making assumptions explicit confines the argument's vulnerability to a small set of premises, so disagreement can be located precisely rather than scattered through the reasoning. Deduction then guarantees that if the axioms hold, the conclusions hold. This is why the paradigm is powerful for organizing theory and also why it cannot validate its own starting points.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E5%87%A0%E4%BD%95%E5%8E%9F%E6%9C%ACverified
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