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Combining > with - Strategies

Combining > with - Strategies. 1 1. -C > -P A [1] 1 P > C GOAL [2]. Since the GOAL has the form A > B, use the > In Strategy. Combining > with - Strategies. 1 1. -C > -P A [1] 2 2. P PA [3] C GOAL [4] 1 P > C 2-? > I [2].

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Combining > with - Strategies

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  1. Combining > with - Strategies 1 1. -C>-P A [1] 1 P>C GOAL [2] Since the GOAL has the form A>B, use the >In Strategy

  2. Combining > with - Strategies 1 1. -C>-P A [1] 2 2. P PA [3] C GOAL [4] 1 P>C 2-? >I [2] Since the GOAL has the form A>B, use the >In Strategy

  3. Combining > with - Strategies 1 1. -C>-P A [1] 2 2. P PA [3] C GOAL [4] 1 P>C 2-? >I [2] Since nothing can be done, try the -Out Strategy

  4. Combining > with - Strategies 1 1. -C>-P A [1] 2 2. P PA [3] 3 3. -C PA [5] ?&-? GOAL C 3-? -O [4] 1 P>C 2-? >I [2] What should the Contradiction be?

  5. Combining > with - Strategies 1 1. -C>-P A [1] 2 2. P PA [3] 3 3. -C PA [5] ?&-? GOAL C 3-? -O [4] 1 P>C 2-? >I [2] What should the Contradiction be? DON’T CHOOSE C&-C!

  6. Combining > with - Strategies 1 1. -C>-P A [1] 2 2. P PA [3] 3 3. -C PA [5] C ????? C&-C GOAL C 3-? -O [4] 1 P>C 2-? >I [2] What should the Contradiction be? DON’T CHOOSE C&-C!

  7. Combining > with - Strategies 1 1. -C>-P A [1] 2 2. P PA [3] 3 3. -C PA [5] P&-P GOAL [6] C 3-? -O [4] 1 P>C 2-? >I [2] Choose “new” material for a contradiction.

  8. Combining > with - Strategies 1 1. -C>-P A [1] 2 2. P PA [3] 3 3. -C PA [5] 4. -P 1,3 >O [7] P&-P GOAL [6] C 3-? -O [4] 1 P>C 2-? >I [2]

  9. Combining > with - Strategies 1 1. -C>-P A [1] 2 2. P PA [3] 3 3. -C PA [5] 1,3 4. -P 1,3 >O [7] 1,2,3 5. P&-P 2,4 &I [6] 1,2 6. C 3-5 -O [4] 1 7. P>C 2-6 >I [2]

  10. Combining > with - Strategies See p. 116 of your book. 1 1. -A>-P A [1] 2 2. A>I A [2] 1,2 P>I GOAL [2] The goal has the form A>B, so use the >In strategy

  11. Combining > with - Strategies 1 1. -A>-P A [1] 2 2. A>I A [2] 3 3. P PA [3] I GOAL [4] 1,2 P>I 3-? >I [2] How can we get I?

  12. Combining > with - Strategies 1 1. -A>-P A [1] 2 2. A>I A [2] 3 3. P PA [3] I GOAL [4] 1,2 P>I 3-? >I [2] The GOAL I is to the right of an arrow in line 2!

  13. Combining > with - Strategies 1 1. -A>-P A [1] 2 2. A>I A [2] 3 3. P PA [3] A GOAL [5] I 2,? >O [4] 1,2 P>I 3-? >I [2] The GOAL I is to the right of an arrow in line 2! So set the antecedent A as a new GOAL.

  14. Combining > with - Strategies 1 1. -A>-P A [1] 2 2. A>I A [2] 3 3. P PA [3] A GOAL [5] I 2,? >O [4] 1,2 P>I 3-? >I [2] How can we get A? Nothing can be done, so use -Out.

  15. Combining > with - Strategies 1 1. -A>-P A [1] 2 2. A>I A [2] 3 3. P PA [3] 4 4. -A PA [6] ?&-? GOAL [7] A 4-? -O [5] I 2,? >O [4] 1,2 P>I 3-? >I [2] What contradiction should we try for?

  16. Combining > with - Strategies 1 1. -A>-P A [1] 2 2. A>I A [2] 3 3. P PA [3] 4 4. -A PA [6] P&-P 3,? &I [7] A 4-? -O [5] I 2,? >O [4] 1,2 P>I 3-? >I [2]

  17. Combining > with - Strategies 1 1. -A>-P A [1] 2 2. A>I A [2] 3 3. P PA [3] 4 4. -A PA [6] 1,4 5. -P 1,4 >O [8] 1,3,4 6. P&-P 3,5 &I [7] 1,3 7. A 4-6 -O [5] 1,2,3 8. I 2,7 >O [4] 1,2 7. P>I 3-8 >I [2] For more click here

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