Natural Deduction
Version 1.0.0 · Updated 2026-07-30
CORE DEFINITION
A formal proof system that simulates human natural reasoning processes, handling logical connectives through introduction and elimination rules, relying on inference rules rather than axioms for deduction.
SCAFFOLDING EFFECT
Reduce cognitive load
Making proof processes conform to intuitive thinking. Compared with axiomatic systems, natural deduction is closer to actual human argumentation and serves as a bridge to understanding the essence of logical reasoning.
Anchor fast decisions
Natural deduction is centered on a set of inference rules, with each logical connective (¬, ∧, ∨, →, ∀, ∃) having 'introduction rules' and 'elimination rules'. Proofs proceed by applying rules step by step from premises to conclusions; assumptions can be 'temporarily introduced' within their scope and 'discharged' at appropriate times (e.g., conditional proof, reductio ad absurdum). The system does not presuppose a set of axioms; the rules themselves are considered self-evident, so the proof process aligns with intuitive reasoning.
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/%E8%87%AA%E7%84%B6%E6%BC%94%E7%BB%8Everified
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