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Inconsistent triad

Three propositions that cannot all be true together From Wikipedia, the free encyclopedia

An inconsistent triad is a set of three propositions that cannot all be true together. For example, 'She was an orphan; Tim outlived her; Tim was her father'.[1]

All inconsistent triads lead to trilemmas:

  • If A and B are true, C must be false.
  • If A and C are true, B must be false.
  • If B and C are true, A must be false.[2]

Epistemology

Main article: Epistemology
  1. Knowledge is justified true belief.[3]
  2. Humans cannot provide justification for their beliefs.[4]
  3. Humans possess knowledge.[5]

Political philosophy

Main article: Political philosophy
  1. A just society maximizes individual liberty.[6]
  2. A just society maximizes material equality.[7]
  3. A just society cannot maximize both liberty and equality.[8]

Ethics

Main article: Ethics
  1. Actions that maximize overall well-being are morally right.[9]
  2. Lying can sometimes maximize overall well-being.[10]
  3. Lying is always morally wrong.[11]

See also

References

Further reading

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