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Wedge Out: A Three Premise Rule for Effective Reasoning

Learn how to use the Wedge Out strategy to simplify complex reasoning problems and reach valid conclusions. This strategy involves identifying missing conditionals and using them as new goals to achieve your desired outcome.

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Wedge Out: A Three Premise Rule for Effective Reasoning

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  1. Wedge Out (vOut) BIG MISTAKE: 1. PvQ 2. P 1 vO

  2. Wedge Out (vOut) BIG MISTAKE: 1. PvQ 2. P 1 vO This is NOT vOut, and besides... the reasoning is INVALID!

  3. Wedge Out (vOut) So What is Wedge Out? Wedge Out is a THREE PREMISE RULE. a.k.a (Simple Constructive) Dilemma

  4. Wedge Out (vOut) So What is Wedge Out? Wedge Out is a THREE PREMISE RULE. a.k.a (Simple Constructive) Dilemma An illustration of a Dilemma: We have to use CHEMO or RADIATION. CvR If CHEMO then the patient SUFFERS. C>S If RADIATION then the patient SUFFERS. R>S So the patient SUFFERS. S

  5. Wedge Out (vOut) So What is Wedge Out? Wedge Out is a THREE PREMISE RULE. a.k.a (Simple Constructive) Dilemma A v B A>G B>G G

  6. Wedge Out (vOut) So What is Wedge Out? Wedge Out is a THREE PREMISE RULE. a.k.a (Simple Constructive) Dilemma A v B A>G B>G G A v B G

  7. Wedge Out Strategy A v B A>G B>G G A v B G How to use vOut. 1. AvM A MvA GOAL

  8. Wedge Out Strategy A v B A>G B>G G A v B G How to use vOut. 1. AvM A MvA 1,?,? vO When a disjunction is available, use the vOut strategy.

  9. Wedge Out Strategy Missing Conditionals A v B A>G B>G G How to use vOut. 1. AvM A MvA 1,?,? vO A v B G

  10. Wedge Out Strategy A v B A>G B>G G How to use vOut. 1. AvM A MvA 1,?,? vO A v B Missing Conditionals G

  11. Wedge Out Strategy A v B A>G B>G G A v B G How to use vOut. 1. AvM A A>(MvA) GOAL M>(MvA) GOAL MvA 1,?,? vO Make the missing conditionals new goals.

  12. Wedge Out Strategy A v B A>G B>G G A v B G How to use vOut. 1. AvM A A>(MvA) ?-? >I M>(MvA) GOAL MvA 1,?,? vO Use the >In strategy to get the first goal.

  13. Wedge Out Strategy A v B A>G B>G G A v B G How to use vOut. 1. AvM A 2. A PA MvA GOAL A>(MvA) 2-? >I M>(MvA) GOAL MvA 1,?,? vO How to get MvA?

  14. Wedge Out Strategy A v B A>G B>G G A v B G How to use vOut. 1. AvM A 2. A PA 3. MvA 2 vI 4. A>(MvA) 2-3 >I M>(MvA) GOAL MvA 1,?,? vO Just use vI!

  15. Wedge Out Strategy A v B A>G B>G G A v B G How to use vOut. 1. AvM A 2. A PA 3. MvA 2 vI 4. A>(MvA) 2-3 >I M PA MvA GOAL M>(MvA) ?-? >I MvA 1,?,? vO Use the >I strategy to get the second goal.

  16. Wedge Out Strategy A v B A>G B>G G A v B G How to use vOut. 1. AvM A 2. A PA 3. MvA 2 vI 4. A>(MvA) 2-3 >I 5. M PA 6. MvA 5 vI 7. M>(MvA) 5-6 >I 8. MvA 1,4,7 vO ... and finish the second subproof the same way.

  17. Wedge Out Strategy A v B G Summary of the vOut Strategy: Whenever AvB is available, and G is your goal ... A v B G GOAL

  18. Wedge Out Strategy A v B G Summary of the vOut Strategy: Whenever AvB is available, and G is your goal ... calculate the missing conditionals (namely A>G and B>G) and make them new goals. When these conditionals are proven, your old goal will follow by vOut. A v B A>G GOAL B>G GOAL G ?,?,? vO For more click here

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