Step 1: Translate statements
- Statement 1: “All flowers are beautiful.”
In logic: All F are B (where F = flowers, B = beautiful things).
- Statement 2: “Some beautiful things are fragile.”
In logic: Some B are Fr (where Fr = fragile things).
Step 2: Evaluate Conclusion I
- Conclusion I: “Some flowers are fragile.”
In logic: Some F are Fr.
From “All F are B” and “Some B are Fr,” we cannot conclude that the fragile beautiful things (B that are Fr) include flowers (F). The fragile beautiful things could be non-flowers (e.g., glass vases). Thus, Conclusion I does not necessarily follow.
Step 3: Evaluate Conclusion II
- Conclusion II: “All beautiful things are flowers.”
In logic: All B are F.
The first statement says all flowers are beautiful (All F are B), not that all beautiful things are flowers. Many beautiful things (e.g., paintings) may not be flowers. This reverses the logic and is false. Conclusion II does not follow.
Step 4: Conclusion
Neither conclusion follows logically.