vx((DxHx) → (Ox v Ux)) : Everything in my dreams that has horns is either an owl or a human being. (a) Good Translation (b) Bad Translation Submit
vx((DxHx) → (Ox v Ux)) : Everything in my dreams that has horns is either an owl or a human being. (a) Good Translation (b) Bad Translation Submit
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

Transcribed Image Text:**Logical Formulation and Translation Evaluation**
**Statement:**
∀x((Dx ∧ Hx) → (Ox ∨ Ux)) : Everything in my dreams that has horns is either an owl or a human being.
**Translation Evaluation:**
- **Option (a):** Good Translation
- **Option (b):** Bad Translation *(Selected)*
**Explanation:**
The logical expression uses universal quantification (∀x) to state that for every element x, if x exists in "my dreams" (Dx) and has "horns" (Hx), then x is either "an owl" (Ox) or "a human being" (Ux).
The choice marked is *(b) Bad Translation*, indicating the provided English translation is considered incorrect according to the logical statement structure.
**Considerations:**
- Check the structure of the logical expression against the natural language translation for accuracy.
- Assess the completeness and correctness of interpreting logical operators and quantifiers in translations.
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