Critical Thinking and Logical Reasoning
🟢 Lite — Quick Review (1h–1d)
Rapid summary for last-minute revision before your exam.
Critical Thinking and Logical Reasoning — Key Facts for Sri Lanka A/L Examination
Core Critical Thinking Skills:
- Analysis: Breaking down complex information
- Evaluation: Judging the value or quality of information
- Inference: Drawing logical conclusions from evidence
- Argument identification: Recognising reasoning patterns
- Assumption identification: spotting unstated premises
Key Logical Fallacies to Avoid:
- Ad hominem: Attacking the person instead of the argument
- False dilemma: Presenting only two options when more exist
- Hasty generalisation: Drawing broad conclusions from few examples
- Begging the question: Using the conclusion as a premise
- Post hoc: Assuming cause from mere sequence
⚡ A/L Exam Tip: In any argument analysis question, identify whether the argument is DEDUCTIVE (conclusive conclusion) or INDUCTIVE (probable conclusion)!
🟡 Standard — Regular Study (2d–2mo)
Standard content for students with a few days to months.
Critical Thinking and Logical Reasoning — Detailed Study Guide
The Nature of Arguments
What is an Argument?:
- A set of statements (premises) intended to support another statement (conclusion)
- Not fighting or disagreeing — but reasoning from evidence to conclusion
Argument Components:
| Component | Description | Example |
|---|---|---|
| Premise(s) | Evidence or reasons | ”All Sri Lankan citizens who pass A/L can apply to university” |
| Conclusion | Claim supported by premises | ”Therefore, Rangi can apply to university” |
| Inference | Logical connection between premises and conclusion | — |
| Hidden assumption | Unstated premise required for argument to work | ”Rangi is a Sri Lankan citizen” |
Types of Reasoning:
Deductive Reasoning:
- General premise → Specific conclusion
- If premises are true, conclusion MUST be true
- Example:
- Premise 1: All mammals are warm-blooded
- Premise 2: Whales are mammals
- Conclusion: Whales are warm-blooded
Inductive Reasoning:
- Specific observations → General conclusion
- Conclusion is probable, not certain
- Example:
- Premise 1: The sun rose yesterday
- Premise 2: The sun rose today
- Conclusion (probable): The sun will rise tomorrow
Abductive Reasoning:
- Observations → Best explanation
- Used in everyday reasoning and science
- Example: “The road is wet; it probably rained”
Argument Analysis
Steps in Analysing an Argument:
- Identify the conclusion (what the arguer wants you to believe)
- Identify the premises (reasons given to support conclusion)
- Determine the logical connection between them
- Check for hidden assumptions
- Evaluate the quality of the reasoning
Question Prompt Indicators:
| If question asks… | You need to… |
|---|---|
| ”What is the main conclusion?” | Identify the central claim |
| ”Which statement is an assumption?” | Find unstated premise |
| ”What evidence would strengthen?” | Identify missing support |
| ”What evidence would weaken?” | Find counter-considerations |
| ”What is the flaw in reasoning?” | Identify logical fallacy |
Evaluating Premise Quality:
- Strong premises: Factual, verifiable, current, relevant
- Weak premises: Unverified claims, outdated, biased, irrelevant
- Test each premise: “Is this statement true? How do we know?”
Logical Fallacies
Fallacies of Relevance:
| Fallacy | Description | Example |
|---|---|---|
| Ad hominem | Attacking the person | ”We shouldn’t listen to him — he’s been divorced twice” |
| Appeal to authority | Using authority inappropriately | ”A famous actor said this diet works” |
| Appeal to emotion | Manipulating feelings | ”Think of the children who will suffer” |
| Appeal to tradition | ”It’s always been done this way" | "Arranged marriages have worked for centuries” |
| Bandwagon | ”Everyone does this" | "All my friends have the latest phone” |
| Red herring | Irrelevant distraction | ”Why worry about climate change when crime is rising?” |
| Straw man | Misrepresenting opponent’s position | ”They want to eliminate all cars!” |
Fallacies of Generalisation:
| Fallacy | Description | Example |
|---|---|---|
| Hasty generalisation | Few examples → broad conclusion | ”My neighbour is unfriendly. All city people are unfriendly” |
| Sweeping generalisation | Exception ignored | ”Fish is good for you. I fed it to my cat and it died” |
| False dilemma | Only two options presented | ”You’re either with us or against us” |
Fallacies of Assumption:
| Fallacy | Description | Example |
|---|---|---|
| Begging the question | Conclusion hidden in premise | ”Murder is wrong because it’s illegal” |
| Circular reasoning | Conclusion proves itself | ”The newspaper is trustworthy because it says so” |
| False cause | Assuming cause from sequence | ”The rooster crowed, then the sun rose” |
Fallacies of Ambiguity:
| Fallacy | Description | Example |
|---|---|---|
| Equivocation | Using word with multiple meanings | ”Saving money is important. Banks save money. Banks are important” |
| Amphiboly | Grammatical ambiguity | ”I saw the man with the telescope” |
⚡ A/L Tip: When you spot a fallacy, name it AND explain WHY it’s a fallacy!
Inference and Conclusion Recognition
Identifying Conclusions: Conclusion indicator words:
- Therefore, thus, hence, so, consequently
- It follows that, this shows that, proves that
- This means, we can conclude, the point is
Premise indicator words:
- Because, since, for, as, given that
- First, second, moreover, furthermore
- The reason is, in fact, evidence shows
Types of Conclusions:
- Factual conclusions: Based on verifiable evidence
- Evaluative conclusions: Judgments about value or quality
- Policy conclusions: Recommendations for action
- Explanatory conclusions: Reasons for phenomena
Evaluating Conclusions:
- Is the conclusion supported by the evidence?
- Are there alternative conclusions?
- Is the reasoning valid (logically correct)?
- Is the reasoning sound (valid AND premises are true)?
🔴 Extended — Deep Study (3mo+)
Comprehensive coverage for students on a longer study timeline.
Critical Thinking and Logical Reasoning — Complete Notes for A/L Sri Lanka
Advanced Logical Structures
Conditional Statements:
| Structure | Meaning | Example |
|---|---|---|
| If P, then Q | When P is true, Q is true | If you study, you will pass |
| P only if Q | P implies Q; Q is necessary for P | You pass only if you study |
| P if Q | Q is sufficient for P | You will pass if you study |
| If P then Q / If not Q then not P | Contrapositive equivalent | If you don’t study, you won’t pass |
Evaluating Conditional Arguments:
- Modus ponens (affirming): If P→Q, P is true, therefore Q is true
- Modus tollens (denying): If P→Q, Q is false, therefore P is false
- Affirming consequent: If P→Q, Q is true, therefore P is true (INVALID!)
- Denying antecedent: If P→Q, P is false, therefore Q is false (INVALID!)
Categorical Syllogisms:
| Figure | Form | Example |
|---|---|---|
| Barbara (AAA-1) | All B are C; All A are B; ∴ All A are C | All tigers are mammals; All mammals are animals; ∴ All tigers are animals |
| Celarent (EAE-1) | No B are C; All A are B; ∴ No A are C | No Sri Lankans are European; All Jaffna residents are Sri Lankans; ∴ No Jaffna residents are European |
| Ferio (EIO-1) | No B are C; Some A are B; ∴ Some A are not C | No Buddhists are Christians; Some people are Buddhists; ∴ Some people are not Christians |
Analogical Reasoning:
- Comparing similar cases to draw conclusions
- Structure: A and B share properties 1, 2, 3. A has property 4. Therefore, B probably has property 4.
- Strength depends on relevance and number of shared properties
- Example: “If Sri Lanka and Singapore can develop with good governance, other developing nations possibly can too”
Causal Reasoning:
| Type | Description | Example |
|---|---|---|
| Necessary cause | Must be present for effect | Oxygen is necessary for fire |
| Sufficient cause | Guarantees the effect | Drowning is sufficient for death by water |
| Contributing cause | One of several causes | Many factors contribute to poverty |
Causal Fallacies:
- Post hoc ergo propter hoc: “After this, therefore because of this” — assuming causation from sequence
- Correlation confused with causation: Two things happening together doesn’t mean one causes the other
- Complex cause: Oversimplifying multi-causal events
Critical Reading
Steps for Critical Reading:
- Identify the genre and context: What type of text is this? Who wrote it? When?
- Identify the main thesis: What is the writer’s central claim?
- Identify the structure: How is the argument organised?
- Identify the evidence: What facts, examples, statistics support the argument?
- Evaluate the evidence: Is it sufficient? Accurate? Relevant? Current?
- Identify assumptions: What does the writer take for granted?
- Identify fallacies: Are there any flaws in reasoning?
- Consider counterarguments: What opposing views exist?
- Form your own evaluation: Do you agree? Why or why not?
Source Evaluation Checklist:
- Who is the author? What are their qualifications?
- What is the publication? Is it reputable?
- When was it published? Is the information current?
- What is the purpose? To inform, persuade, entertain?
- Is the evidence verifiable?
- Are there any obvious biases?
- Is the reasoning logical?
Bias Types to Watch For:
| Bias | Description |
|---|---|
| Confirmation bias | Seeking only information that confirms existing beliefs |
| Anchoring bias | Relying too heavily on first information received |
| Sunk cost fallacy | Continuing because of invested resources |
| Bandwagon effect | Believing something because many believe it |
| Authority bias | Accepting authority figures’ opinions uncritically |
| Availability heuristic | Judging probability by how easily examples come to mind |
Problem-Solving with Critical Thinking
Problem-Solving Framework:
- Define the problem: What exactly is the issue?
- Gather information: What are the relevant facts?
- Identify possible causes: What might lead to this problem?
- Generate solutions: What options exist?
- Evaluate solutions: What are the pros and cons of each?
- Select the best solution: Which addresses the problem most effectively?
- Implement and review: Put it into action, assess results
Decision-Making Framework:
- State the decision to be made
- Identify alternatives
- Establish criteria for evaluation
- Assess each alternative against criteria
- Weigh criteria (some may be more important)
- Make decision
- Review and adjust
Brainstorming Techniques:
- Free association: Generate ideas without judgment
- SCAMPER: Substitute, Combine, Adapt, Modify, Put to other use, Eliminate, Reverse
- Mind mapping: Visual brainstorming
- SWOT: Strengths, Weaknesses, Opportunities, Threats
Critical Thinking in Sri Lankan Context
Applying Critical Thinking to Sri Lankan Issues:
Education in Sri Lanka:
- Premise: Sri Lanka has high literacy rates
- Premise: But unemployment among graduates remains high
- Premise: Many graduates lack practical skills
- Question: Does education equal economic opportunity?
- Conclusion: Education reform must address skills development
Development Challenges:
- Premise: Sri Lanka achieved middle-income status
- Premise: But inequality persists between regions
- Premise: Urban areas attract resources
- Question: Is development truly inclusive?
- Counterargument: Development takes time; progress is measurable
Environmental Concerns:
- Premise: Sri Lanka has high biodiversity
- Premise: But deforestation and coastal erosion continue
- Premise: Economic development often prioritised over environment
- Question: How to balance development and conservation?
- Critical thinking: Consider alternative development models
Social Issues Analysis Framework:
1. What is the problem?
- Define precisely
2. Who is affected?
- Demographics, regions, social groups
3. What are the causes?
- Immediate and underlying
4. What solutions have been tried?
- Sri Lankan context, international comparisons
5. What are the alternatives?
- Policy options, community approaches
6. What are the trade-offs?
- Benefits vs. costs, winners vs. losers
7. What criteria should guide the decision?
- Economic, social, environmental, equity
8. What recommendation follows?
- Based on evidence and reasoning
Critical Thinking in Media and Information
Media Literacy:
- Source attribution: Where does this information come from?
- Fact vs. opinion: Is this verifiable or subjective?
- Hidden agendas: What interest does the author/publisher have?
- Representation: Does this image/text accurately represent reality?
- Framing: How has the information been presented to influence perception?
Evaluating News Sources:
| Source Type | Reliability | Verification |
|---|---|---|
| Established newspapers | Generally reliable | Cross-check with other sources |
| Government statements | May reflect official position | Verify independently |
| Social media | Variable reliability | Check original source |
| Academic journals | High reliability | Peer review process |
| Anonymous sources | Caution needed | Corroborate if possible |
Fact-Checking Skills:
- Check the original source (author, publication, date)
- Cross-reference with reliable sources
- Check for date — old news may be recycled
- Look for evidence and citations
- Consider what perspectives may be missing
⚡ A/L Critical Thinking Question Format: Questions often present an argument and ask you to identify the conclusion, a hidden assumption, a flaw in reasoning, or how to strengthen/weaken the argument. Practice with past papers!
Content adapted based on your selected roadmap duration. Switch tiers using the selector above.