Modus ponens

  • Modus ponens is a rule of inference in logic that states that if two statements are true, then their conjunction is also true. 
  • The rule is used in various fields, including mathematics, philosophy, and probability calculus. 
  • In subjective logic, modus ponens represents a generalization of both modus ponens and the Law of total probability. 
  • Philosophers and linguists have identified cases where modus ponens appears to fail, but opinions vary on how these cases should be disposed of. 
  • The fallacy of affirming the consequent is a common misinterpretation of modus ponens. 

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