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(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
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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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.
Transcribed Image Text:(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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