1 / 14

Contingent

Contingent. A statement is contingent iff it is neither a logical truth nor a contradiction. Contingent. A statement is contingent iff it is neither a logical truth nor a contradiction. So the output row for a contingent statement must contain at least one F and at least one T.

apapp
Download Presentation

Contingent

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. Contingent A statement is contingent iff it is neither a logical truth nor a contradiction.

  2. Contingent A statement is contingent iff it is neither a logical truth nor a contradiction. So the output row for a contingent statement must contain at least one F and at least one T.

  3. Contingent A statement is contingent iff it is neither a logical truth nor a contradiction. So the output row for a contingent statement must contain at least one F and at least one T. Sample contingent statement: P>Q

  4. Contingent To show a statement A is contingent ... with a table: The output row for A has a F and a T.

  5. Contingent To show a statement A is contingent ... with a table: The output row for A has a F and a T. with a proof: No proof test is possible.

  6. Contingent To show a statement A is contingent ... with a table: The output row for A has a F and a T. with a proof: No proof test is possible. There is also no proof test for invalidity.

  7. Contingent To show a statement A is contingent ... with a table: The output row for A has a F and a T. with a proof: No proof test is possible. with a tree: The tree for -A is open and the tree for A is open.

  8. Contingent To show a statement A is contingent ... with a table: The output row for A has a F and a T. with a proof: No proof test is possible. with a tree: The tree for -A is open and the tree for A is open. Common Mistake: The tree has one open and one closed branch.

  9. Contingent To show a statement A is contingent ... with a table: The output row for A has a F and a T. with a proof: No proof test is possible. with a tree: The tree for -A is open and the tree for A is open. Common Mistake: The tree has one open and one closed branch. WRONG! You need to do TWO trees.

  10. Contingent To show a statement A is contingent ... with a table: The output row for A has a F and a T. with a proof: No proof test is possible. with a tree: The tree for -A is open and the tree for A is open. A is not a logical truth and A is not a contradiction.

  11. Contingent To show a statement A is contingent ... with a table: The output row for A has a F and a T. with a proof: No proof test is possible. with a tree: The tree for -A is open and the tree for A is open. A is not a logical truth and A is not a contradiction.

  12. Contingent To show a statement A is contingent ... with a table: The output row for A has a F and a T. with a proof: No proof test is possible. with a tree: The tree for -A is open and the tree for A is open. A is not a logical truth and A is not a contradiction.

  13. Contingent To show a statement A is contingent ... with a table: The output row for A has a F and a T. with a proof: No proof test is possible. with a tree: The tree for -A is open and the tree for A is open. Sample: Here are trees that show that P>Q is contingent. -(P>Q) P -Q P>Q -P Q open open

  14. Contingent To show a statement A is contingent ... with a table: The output row for A has a F and a T. with a proof: No proof test is possible. with a tree: The tree for -A is open and the tree for A is open. For more click here

More Related