Homework SourseThe Logic Book 6th Edition Ch 35 q 4 Symbolize the following
The Logic Book 6th Edition: Ch 3.5, q. 4:
Symbolize the following arguments and use truth-tables to test for truth-functional validity. Use full truth-tables to establish truth-functional validity and shortened truth-tables to establish truth-functional invalidity.
f) If the butler murdered Devon, then the maid is lying, and if the gardener murdered Devon, then the weapon was a slingshot. The maid is lying if and only if the weapon wasn\'t a slingshot, and if the weapon wasn\'t a slingshot, then the butler murdered Devon. Therefore the butler murdered Devon.
Solution
If the butler murdered Devon, then the maid is lying,
and if the gardener murdered Devon, then the weapon was a slingshot. The maid is lying if and only if the weapon wasn\'t a slingshot, and if the weapon wasn\'t a slingshot, then the butler murdered Devon. Therefore the butler murdered Devon.
The maid is lying if and only if the weapon wasn\'t a slingshot:Q is TRUE and s is False
then p only True r must false.
i.e the butler murdered Devon.
| butler murdered Devon (p) | maid is lying(q) | gardenermurdered Devon (r) | weapon was a slingshot(s) |
| T | T | F | F |
| F | F | T | T |
