Question 1
Statements:
All doctors are entrepreneurs.
Some doctors are musicians.
Conclusions:
I. Some entrepreneurs are musicians.
II. All entrepreneurs being musicians is a possibility.
III. Some musicians are entrepreneurs.
Distribution of Terms:
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.
Statement Analysis:
Statement 1: "All doctors are entrepreneurs" → doctors DISTRIBUTED, entrepreneurs UNDISTRIBUTED
Statement 2: "Some doctors are musicians" → Both UNDISTRIBUTED
Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C
Checking Conclusions:
✓ Conclusion I: "Some entrepreneurs are musicians" - FOLLOWS
✓ Conclusion II: "All entrepreneurs being musicians is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some musicians are entrepreneurs" - Conversion of I - FOLLOWS
Answer: All conclusions I, II and III follow
A term is DISTRIBUTED when statement makes claim about ALL members.
A term is UNDISTRIBUTED when statement refers to SOME members.
Statement Analysis:
Statement 1: "All doctors are entrepreneurs" → doctors DISTRIBUTED, entrepreneurs UNDISTRIBUTED
Statement 2: "Some doctors are musicians" → Both UNDISTRIBUTED
Logical Deduction:
Some B are C (I) + All B are A (A) = I + A = I
Result: Some C are A OR Some A are C
Checking Conclusions:
✓ Conclusion I: "Some entrepreneurs are musicians" - FOLLOWS
✓ Conclusion II: "All entrepreneurs being musicians is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some musicians are entrepreneurs" - Conversion of I - FOLLOWS
Answer: All conclusions I, II and III follow