Contraposition

June 8, 2011 1 Comment

Contraposition is a transformation in categorical (Aristotlean) logic. It involves two steps:

  1. Switch the subject and predicate terms.
  2. take the complement of both terms.

For example, assume the A-Type sentence ‘All 4-chan users are trolls.’ (in common language, ‘everyone on 4-chan is a troll!’) If we transform this with contraposition we turn it into:

  1. switch the subject and predicate terms: ‘All trolls are 4-chan users’
  2. take the complement of both terms: ‘All non-trolls are non-4-chan users.’
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Related posts:

  1. Contraposition A
  2. Contraposition I
  3. Contraposition E
  4. Venn Diagram tool coming soon
  5. Obversion A
Tags: , , Categorical Logic, Contraposition, Definitional Matters
One Comments to “Contraposition”
  1. [...] example of Venn diagram-enhanced categorical reasoning. This one is of E-type (Universal Negative) contraposition. Does ‘No cats are felines’ imply ‘No non-cats are [...]

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