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Logical reasoning

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The three methods for logical reasoning, deduction, induction and abduction can be explained in the following way: <ref>T. Menzies. Applications of Abduction: Knowledge-Level Modeling. November 1996.</ref>

Given preconditions α, postconditions β and the rule R1: α ∴ β (α therefore β).

  • Deduction means determining β. It is using the rule and its preconditions to make a conclusion (α ∧ R1 ⇒ β).
  • Induction means determining R1. It is learning R1 after numerous examples of β and α.
  • Abduction means determining α. It is using the postcondition and the rule to assume that the precondition could explain the postcondition (β ∧ R1 ⇒ α).

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[edit] References

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nl:redenering fr:Concepts logiques zh:逻辑推理

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