1 / 15

Comprehensive Summary of Strategies for Logical Proofs and Goal Setting

This summary outlines key strategies from Chapters 2-5 focused on logical reasoning and goal-oriented approaches. It covers techniques for proving multiple goals (A and B), including methods such as In and Out strategies for effective proof construction. Further exploration of negation strategies is discussed, emphasizing the importance of choosing the right contradictions to resolve conflicting statements. Each strategy is outlined clearly to aid in understanding the underlying logic and application, providing a valuable resource for students and professionals alike.

eugenia-garrett
Télécharger la présentation

Comprehensive Summary of Strategies for Logical Proofs and Goal Setting

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Strategy Review Here is a summary of all the strategies given for Chapters 2-5.

  2. &In Strategy A&B GOAL When you have A&B as a GOAL

  3. &In Strategy A GOAL B GOAL A&B &I When you have A&B as a GOAL Try to prove A and B separately. Then paste them together with &In.

  4. &Out Strategy 4) A&B If you have a sentence with the shape A&B,

  5. &Out Strategy 4) A&B 5) A 4 &O 6) B 4 &O If you have a sentence with the shape A&B, then use &Out to obtain A and B.

  6. >In Strategy A>B GOAL When you have A>B as a GOAL

  7. >In Strategy A PA : B GOAL A>B >I When you have A>B as a GOAL Make A a PA and try to prove B. When B is proven, A>B will follow from >In.

  8. >Out Strategy A>G G GOAL When your GOAL G is to the right of an > in an available line,

  9. >Out Strategy A>G A GOAL G >O When your GOAL G is to the right of an > in an available line, Make the antecedent A of that line a new GOAL. When A is proven, G will follow from >Out.

  10. Negation Strategy A GOAL -A GOAL If you are stuck.

  11. Negation Strategy -A PA : ?&-? A PA : ?&-? A -O -A -I If you are stuck. Set the opposite of your GOAL as a PA, and derive a contradiction.

  12. Choosing Contradictions -A PA ?&-? GOAL A -O Avoid choosing A&-A as your contradiction.

  13. Choosing Contradictions -A PA A&-A BAD IDEA A -O Avoid choosing A&-A as your contradiction.

  14. Choosing Contradictions -(B&C) -A PA ?&-? GOAL A -O If a complex negation sentence is available...

  15. Choosing Contradictions -(B&C) -A PA (B&C)&-(B&C)GOOD IDEA A -O If a complex negation sentence is available... it is a good idea to use it as part of a contradiction. For more click here

More Related