Question 1
Statements:
Only strategies are ideas.
All ideas are methods.
Conclusions:
I. All strategies are methods.
II. Some methods are strategies.
Understanding 'Only' Statement:
"Only strategies are ideas" means "All ideas are strategies" (reversal!)
Conversion:
Original: Only strategies are ideas
Converted: All ideas are strategies
Venn Diagram:
Step 1: "All ideas are strategies" → ideas inside strategies
Step 2: "All ideas are methods" → ideas inside methods
Step 3: ideas inside both strategies and methods
Checking Conclusions:
✗ Conclusion I: "All strategies are methods"
We only know ideas is inside both - strategies could be larger - DOES NOT FOLLOW
✓ Conclusion II: "Some methods are strategies"
All ideas are strategies and all ideas are methods
The ideas portion is common to both - FOLLOWS
Answer: Only conclusion II follows
"Only strategies are ideas" means "All ideas are strategies" (reversal!)
Conversion:
Original: Only strategies are ideas
Converted: All ideas are strategies
Venn Diagram:
Step 1: "All ideas are strategies" → ideas inside strategies
Step 2: "All ideas are methods" → ideas inside methods
Step 3: ideas inside both strategies and methods
Checking Conclusions:
✗ Conclusion I: "All strategies are methods"
We only know ideas is inside both - strategies could be larger - DOES NOT FOLLOW
✓ Conclusion II: "Some methods are strategies"
All ideas are strategies and all ideas are methods
The ideas portion is common to both - FOLLOWS
Answer: Only conclusion II follows