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Inverse Error

⊙ ATOM 152 words • 🥬 fresh last modified 1 day ago
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  • ola:: Negating the antecedent, does not necessarily negate the consequent
  • @: INPUT[aliases][]
  • it’s just a case of flipping the antecedent with the consequent
  • eg: unidirectional consequence
    • syllogism
      • if you are a chef, you have a job
      • you are not a chef
        • therefore, you have no job
    • not biconditional: both these are not true
      • ❌ if—and only if—you are a chef, then you have a job
      • ❌ if—and only if—you have a job, then you are a chef
      • but the inverse-converse is true
        • ✅ if—and only if—you don’t have a job, then you are not a chef
  • eg: presidency/veto
    • syllogism
      • if I am POTUS, I can veto Congress
      • I am not POTUS
        • therefore, I cannot veto Congress
    • also satisfies bi-conditionally
      • ✅ if—and only if—you are POTUS, then you can veto Congress
      • ✅ if—and only if—you can veto Congress, then you are POTUS
      • the inverse-converse is also true
        • ✅ if—and only if—you cannot veto Congress, then you are not POTUS