Question 1
Statements:
Some systems are ideas.
Some ideas are theories.
Conclusions:
I. Some systems are theories.
II. No systems is a theories.
Venn Diagram Method:
Step 1: "Some systems are ideas" → systems and ideas overlap partially
Step 2: "Some ideas are theories" → ideas and theories overlap partially
Step 3: Multiple possibilities exist:
- systems and theories may overlap (some A are C)
- systems and theories may be separate (no A is C)
- systems and theories may partially overlap
Analytical Method:
I + I combination gives NO definite conclusion.
The overlapping portions may or may not be the same part of ideas.
Verification:
✗ Conclusion I: "Some systems are theories" - NOT DEFINITE (possible but not certain)
✗ Conclusion II: "No systems is a theories" - NOT DEFINITE (possible but not certain)
Answer: Neither conclusion I nor II follows
Step 1: "Some systems are ideas" → systems and ideas overlap partially
Step 2: "Some ideas are theories" → ideas and theories overlap partially
Step 3: Multiple possibilities exist:
- systems and theories may overlap (some A are C)
- systems and theories may be separate (no A is C)
- systems and theories may partially overlap
Analytical Method:
I + I combination gives NO definite conclusion.
The overlapping portions may or may not be the same part of ideas.
Verification:
✗ Conclusion I: "Some systems are theories" - NOT DEFINITE (possible but not certain)
✗ Conclusion II: "No systems is a theories" - NOT DEFINITE (possible but not certain)
Answer: Neither conclusion I nor II follows