Paradox Vault
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Paradox of analysis

PARADOX ethics

The paradox of analysis (or Langford–Moore paradox) is a paradox that concerns how an analysis can be correct or informative but not both. The problem was formulated by philosopher G. E. Moore in his book Principia Ethica, and first named by C. H. Langford in his article 'The Notion of Analysis in Moore's Philosophy' (in The Philosophy of G. E. Moore, edited by Paul Arthur Schilpp, Northwestern University, 1942, pp.

Metadata

  • Slug: 00315-paradox-of-analysis
  • Type: PARADOX
  • Tags: ethics
  • Sources: 1
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Axioms

  • Assume the rules of the domain apply uniformly.
  • Assume the observer’s criteria remain fixed.
  • Assume classification boundaries stay consistent.
  • Assume the model describes the real case.
  • Assume repeated steps do not change the outcome.
  • Assume no hidden variables are introduced midstream.

Contradictions

  • Two reasonable lines of inference yield opposite conclusions
  • A global rule conflicts with a local judgment
  • A stable resolution appears to violate a starting premise
  • Changing the framing reverses the outcome
  • Intuition and formalism diverge at the same step

Prompts

  • Which assumption is doing the most hidden work?
  • What changes if you relax the smallest constraint?
  • Does the paradox dissolve or relocate when reframed?
  • What is conserved, and what is sacrificed?

Notes

Sources

Overview

The paradox of analysis (or Langford–Moore paradox) is a paradox that concerns how an analysis can be correct or informative but not both. The problem was formulated by philosopher G. E. Moore in his book Principia Ethica, and first named by C. H. Langford in his article “The Notion of Analysis in Moore’s Philosophy” (in The Philosophy of G. E. Moore, edited by Paul Arthur Schilpp, Northwestern University, 1942, pp.

Tension

  • Two reasonable lines of inference yield opposite conclusions.
  • A global rule conflicts with a local judgment.
  • A stable resolution appears to violate a starting premise.
  • Changing the framing reverses the outcome.
  • Intuition and formalism diverge at the same step.

Why It Matters

This entry tests how a stable rule-set can yield unstable conclusions under certain assumptions.

Prompts

  • Which assumption is doing the most hidden work?
  • What changes if you relax the smallest constraint?
  • Does the paradox dissolve or relocate when reframed?
  • What is conserved, and what is sacrificed?