Proof of (p ⇒ q) =(¬p ∨ q) in Mathematical Logic

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SUMMARY

The discussion focuses on proving the theorem (p ⇒ q) = (¬p ∨ q) in mathematical logic. Participants emphasize the use of truth tables as a definitive method for demonstrating the equivalence of these logical expressions. The referenced links provide additional resources for understanding transformation rules in Boolean algebra, which are essential for this proof. The consensus is that truth tables effectively illustrate the validity of the theorem.

PREREQUISITES
  • Understanding of propositional logic
  • Familiarity with truth tables
  • Knowledge of Boolean algebra
  • Basic skills in mathematical proofs
NEXT STEPS
  • Study the construction and interpretation of truth tables
  • Explore Boolean algebra transformation rules
  • Learn about logical equivalences in propositional logic
  • Review examples of mathematical proofs in logic
USEFUL FOR

Students of mathematical logic, educators teaching logic concepts, and anyone interested in understanding logical equivalences and proofs.

Byeonggon Lee
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Hi :smile: I am studying mathematical logic by a pdf file. But there is no proof about this therorem so I don't understand.. How to prove this?
 
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