Question 1
Statements:
All accessible are essential.
Some accessible are valuable.
Conclusions:
I. Some essential are valuable.
II. All essential being valuable is a possibility.
III. Some valuable are essential.
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 accessible are essential" → accessible DISTRIBUTED, essential UNDISTRIBUTED
Statement 2: "Some accessible are valuable" → 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 essential are valuable" - FOLLOWS
✓ Conclusion II: "All essential being valuable is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some valuable are essential" - 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 accessible are essential" → accessible DISTRIBUTED, essential UNDISTRIBUTED
Statement 2: "Some accessible are valuable" → 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 essential are valuable" - FOLLOWS
✓ Conclusion II: "All essential being valuable is a possibility" - No negatives exist - FOLLOWS
✓ Conclusion III: "Some valuable are essential" - Conversion of I - FOLLOWS
Answer: All conclusions I, II and III follow