How to Derive ((A>B)>A)>A Using Sentential Logic?

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SUMMARY

The discussion focuses on proving the logical statement ((A>B)>A)>A using Sentential Logic (SD). Participants explore the method of assuming (A>B)>A and creating a sub-derivation by assuming ~A to derive a contradiction. The symbol ">" is clarified as representing logical implication. The conversation emphasizes the importance of understanding the structure of implications in logical proofs.

PREREQUISITES
  • Understanding of Sentential Logic (SD)
  • Familiarity with logical implications and their notation
  • Knowledge of sub-derivation techniques in formal proofs
  • Ability to identify and derive contradictions in logical arguments
NEXT STEPS
  • Study the principles of logical implication in depth
  • Practice sub-derivation techniques in Sentential Logic
  • Explore examples of deriving contradictions in formal proofs
  • Learn about the role of assumptions in logical reasoning
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Students of logic, mathematicians, and anyone interested in formal proof techniques in Sentential Logic.

Cornelius
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1. How do you prove, using SD, that ((A>B)>A)>A?


3. I tried to first assume (A>B)>A. Then I made a sub-derivation, assuming ~A. In this sub-derivation, I need to derive a contradiction. How?
 
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What does your symbol ">" mean?
 

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