Statement and Assumptions
In Statements and Assumptionsquestions, you are given a statement—a declarative sentence—and you need to identify the underlying assumptions that must be true for the statement to make sense or be valid.
- An assumption is an unstated premise or idea that is taken for granted.
- Assumptions are implicit beliefs or ideas that support the statement.
- These assumptions are necessary for the statement’s logic or argument to hold.
What is a Statement?
- A statement expresses an opinion, fact, or claim.
- It is the starting point for reasoning or argument.
What is an Assumption?
- An assumption is something the speaker takes for granted.
- It is not directly stated but is required for the statement to be meaningful or true.
- Without the assumption, the statement may not hold or might lose its impact.
Key Difference Between Assumptions and Conclusions
| Aspect | Assumption | Conclusion |
|---|---|---|
| Nature | Implicit, unstated premise | Explicit inference or judgment |
| Dependency | Must be true for statement to hold | Follows from statement logically |
| Example | Statement: "We must ban smoking to reduce lung diseases." | |
| Assumption: Smoking causes lung diseases. | ||
| Conclusion: Banning smoking will reduce lung diseases. |
How to Approach Statements and Assumptions Questions
- Read the statement carefully and understand the claim.
- Consider each assumption and decide if the statement depends on it.
- Ask yourself: "If this assumption is false, does the statement lose its meaning or become illogical?"
- Mark assumptions that are necessary for the statement as valid.
- Ignore assumptions that are irrelevant or not necessary.
Conceptual Tips and Common Mistakes
- Don’t confuse assumptions with conclusions.
- An assumption is often unstated but essential; conclusions follow after reasoning.
- Avoid assumptions based on personal opinions or outside knowledge.
- Focus on what must be true for the statement to hold.
- Beware of extreme assumptions that are not necessary.
Examples
Example 1
Statement:
"All employees must submit their reports by Friday to avoid delay penalties."
Assumptions:
- Submitting reports on time avoids penalties.
- Employees are responsible for submitting reports.
- Delay penalties are enforced strictly.
- Employees are aware of the deadline.
Analysis:
- Assumption 1: Necessary; if on-time submission doesn’t avoid penalties, statement loses meaning.
- Assumption 2: Necessary; if employees are not responsible, statement is invalid.
- Assumption 3: Important; if penalties are not enforced, statement loses impact.
- Assumption 4: Helpful but not necessary; statement doesn’t depend on employees’ awareness.
Example 2
Statement:
"The government should reduce taxes to boost economic growth."
Assumptions:
- Lower taxes encourage spending and investment.
- Economic growth depends on taxation policies.
- Government has control over tax rates.
- Tax reduction will not reduce government revenue significantly.
Analysis:
- Assumption 1: Essential for the argument; without this, the statement loses ground.
- Assumption 2: Important; but may or may not be strictly necessary.
- Assumption 3: Logical; statement depends on government’s power to tax.
- Assumption 4: Not necessary; statement doesn’t claim about revenue impact directly.
Example 3
Statement:
"People should use public transport to reduce traffic congestion."
Assumptions:
- Using public transport decreases the number of private vehicles on road.
- Traffic congestion is a problem in the area.
- Public transport is accessible and convenient.
- People prefer private vehicles to public transport.
Analysis:
- Assumption 1: Necessary.
- Assumption 2: Necessary to justify the statement.
- Assumption 3: Helpful but not strictly necessary.
- Assumption 4: Not necessary.