Inconsistent triad
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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
[edit | edit source]- Knowledge is justified true belief.[3]
- Humans cannot provide justification for their beliefs.[4]
- Humans possess knowledge.[5]
Political philosophy
[edit | edit source]- A just society maximizes individual liberty.[6]
- A just society maximizes material equality.[7]
- A just society cannot maximize both liberty and equality.[8]
Ethics
[edit | edit source]- Actions that maximize overall well-being are morally right.[9]
- Lying can sometimes maximize overall well-being.[10]
- Lying is always morally wrong.[11]
See also
[edit | edit source]References
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Further reading
[edit | edit source]- Brewer, B. (2011). The Inconsistent Triad. Perception, Causation, and Objectivity, 68.
- Howard-Snyder, F., Howard-Snyder, D., & Wasserman, R. (2009). The Power of Logic (4th Edition). New York: McGraw-Hill. (p. 336) Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).