Assumption Negation Test
Assumption Negation Test problems involve applying the logical technique of negating a candidate assumption to see if it destroys the argument. If the negated statement makes the argument invalid, the original statement is a genuine assumption.
What You'll Learn
Introduction to Assumption Negation Test
Assumption Negation Test problems involve applying the logical technique of negating a candidate assumption to see if it destroys the argument. If the negated statement makes the argument invalid, the original statement is a genuine assumption.
Prerequisites
How to Solve Assumption Negation Test Problems
Step 1: Read the argument and identify the conclusion
Step 2: Take the candidate assumption and formulate its logical opposite (negation)
Step 3: Insert the negated statement into the argument as if it were true
Step 4: Ask: Does the argument still hold? Can the conclusion still be drawn?
Step 5: If the argument becomes invalid or the conclusion cannot be drawn, the original statement is an assumption
Step 6: If the argument remains valid despite the negation, the original statement is NOT an assumption
Step 7: Apply this test to each candidate assumption
Step 8: Select the assumption(s) that pass the negation test
Example Problem
Example: Argument: 'Since the store is closed, we cannot buy groceries.' Candidate: 'The store being closed means we cannot buy groceries there.' Apply negation test. Solution: Step 1: Conclusion: We cannot buy groceries Step 2: Candidate assumption: Store closed = cannot buy groceries there Step 3: Negation: 'The store being closed does NOT mean we cannot buy groceries there' (we could still buy groceries at the closed store? That's illogical, but properly: 'It is possible to buy groceries even when the store is closed') Step 4: If we CAN buy groceries at a closed store, then the argument 'store closed → cannot buy groceries' fails Step 5: Therefore, the original statement IS an assumption Answer: The candidate passes the negation test; it is a genuine assumption
Pro Tips & Tricks
- Negation of 'all' is 'some not' (not 'none')
- Negation of 'some' is 'none'
- Negation of 'if P then Q' is 'P and not Q'
- Negation of 'only if' is complex - be careful
- Negation should be the logical opposite, not just the contrary
- If the negated statement still allows the conclusion, the original is NOT an assumption
Shortcut Methods to Solve Faster
Common Mistakes to Avoid
Practice Worksheets
Practice makes perfect! Work through these worksheets to master Assumption Negation Test. Each worksheet contains 20 questions with detailed explanations. Start from Worksheet 1 and progress through increasing difficulty levels.
Exam Importance
Assumption Negation Test is an important topic for various competitive exams. Here's how frequently it appears:
Ready to Master Assumption Negation Test?
Start with Worksheet 1 and work your way up to expert level! Each worksheet includes: