(1) (2) (3) {A→~D, B→~F, ~D → (FV ~E)}__ (A & B) → ~E 1 2 3 4 1 1 2 3 1 {PV Q, Q→R}| ~P→ R A → D B→~F ~D (FV ~E) | PV Q | Q→R 3 4 Want: (A & B)→→ ~E {WV Y, W→ (Z & X), (X V Z) → ~Y}___ X ↔ ~Y 1 | WVY 2 | W → (Z & X) | (X V Z) →~Y 1 Want: ~P → R Want: X→~Y

(1) (2) (3) {A→~D, B→~F, ~D → (FV ~E)} (A & B) → ~E 1 2 3 4 1 1 2 3 1 {PV Q, Q→R}| ~P→ R A → D B→~F ~D (FV ~E) | PV Q | Q→R 3 4 Want: (A & B)→→ ~E {WV Y, W→ (Z & X), (X V Z) → ~Y}_ X ↔ ~Y 1 | WVY 2 | W → (Z & X) | (X V Z) →~Y 1 Want: ~P → R Want: X→~Y

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

PHIL 2303 Logic Homework 4/17/2023

See image attached. Use conditional proof with conditional and/or biconditional introductions for each question. For reference, look up on "Loftis, Magnus, and Woods" textbook under "Conditional Proof" section (8.3) in "Proofs in Sentential Logic" chapter. Every premise is separated by commas in each braces for every question. Also, in the need of extra points in this homework, can you create your own derivation that requires conditional proof to solve?

(1)
(2)
(3)
{A→~D, B→~F, ~D → (FV ~E)}__ (A & B) → ~E
1
2
3
4 1
1
2
3 1
A → D
B→~F
~D (FV ~E)
{PV Q, Q→R}| ~P→ R
| PV Q
| Q→R
1
2
3
4
Want: (A & B)→→ ~E
Want: ~P → R
{WV Y, W→ (Z & X), (X V Z) → ~Y}___ X ↔ ~Y
| WVY
| W → (Z & X)
| (X V Z) →~Y
I
Want: X→~Y
.5 bonus points if you can create your own derivation (like the ones above) that requires
conditional proof to solve.

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