Possibility Case
Possibility Case syllogism problems involve conclusions that use modal language like 'is a possibility', 'can be', or 'may be'. These are different from definite conclusions. A possibility conclusion is true if there exists at least one valid scenario (Venn diagram) where it holds, AND no definite conclusion contradicts it.
What You'll Learn
Introduction to Possibility Case
Possibility Case syllogism problems involve conclusions that use modal language like 'is a possibility', 'can be', or 'may be'. These are different from definite conclusions. A possibility conclusion is true if there exists at least one valid scenario (Venn diagram) where it holds, AND no definite conclusion contradicts it.
Prerequisites
How to Solve Possibility Case Problems
Step 1: Draw all possible Venn diagrams consistent with the statements
Step 2: For a definite conclusion, it must be true in ALL possible diagrams
Step 3: For a possibility conclusion, it is true if there exists AT LEAST ONE diagram where it holds
Step 4: Additionally, the possibility conclusion must NOT be contradicted by a definite conclusion
Step 5: If a definite negative conclusion exists (e.g., 'No A are B'), then 'All A are B is a possibility' is false
Step 6: If no relationship is definite, many possibilities exist
Step 7: Answer based on whether the possibility can occur
Example Problem
Example: Statements: All A are B. No B is C. Conclusions: I. No A is C. II. All C being A is a possibility. Solution: Step 1: Statements: A inside B; B and C separate Step 2: Conclusion I: 'No A is C' - Since A is inside B and B is separate from C, definitely true → FOLLOWS Step 3: Conclusion II: 'All C being A is a possibility' - This would require C to be inside A. But since no B is C and A is inside B, C cannot be inside A. This is impossible → DOES NOT FOLLOW Step 4: Only conclusion I follows Answer: Only conclusion I follows
Pro Tips & Tricks
- If a definite negative (No/Some not) exists between two terms, the positive possibility is false
- If no definite relationship exists between two terms, both positive and negative possibilities may be true
- A possibility conclusion is different from a definite conclusion - don't confuse them
- 'Is a possibility' means 'can be true', not 'must be true'
- To prove a possibility, draw ONE valid diagram showing it
- To disprove a possibility, show that it contradicts a definite conclusion
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Possibility Case. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Possibility Case is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Possibility Case?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: