flowchart LR
G[General principle] --> S[Specific case] --> C[Specific conclusion]
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18 Types of Reasoning
Reasoning is the process of drawing conclusions from premises. Different types of reasoning differ in (a) the direction — from general to particular or particular to general — and (b) the certainty — whether the conclusion follows necessarily or only probably.
- Deductive — General → Particular; conclusion certain if premises true.
- Inductive — Particular → General; conclusion probable, never certain.
- Abductive — Observation → Best explanation; “inference to the best explanation”.
- Analogical — A is like B; therefore what is true of A may be true of B.
- Critical — Evaluating arguments for soundness; not a separate “direction” but an evaluative stance.
18.1 Deductive Reasoning
Deductive reasoning moves from general principles to specific conclusions. If the premises are true and the form is valid, the conclusion is necessarily true.
| Step | Statement |
|---|---|
| Major premise | All humans are mortal. |
| Minor premise | Socrates is a human. |
| Conclusion | Therefore, Socrates is mortal. |
Two evaluative concepts apply to deductive arguments:
- Validity — the conclusion follows from the premises (a property of the argument’s form).
- Soundness — the argument is valid and the premises are actually true.
- “All birds can fly. Penguins are birds. Therefore, penguins can fly.” → Valid but not sound (premise about all birds is false).
- “All metals conduct electricity. Copper is a metal. Therefore, copper conducts electricity.” → Valid and sound.
18.2 Inductive Reasoning
Inductive reasoning moves from particular observations to general conclusions. The conclusion is probable but never certain — even strong induction can be overturned by a single counter-example.
| Step | Statement |
|---|---|
| Observation 1 | Swan A is white. |
| Observation 2 | Swan B is white. |
| Observation 3 | Swan C is white. |
| Conclusion | All swans are white. (False — black swans exist in Australia.) |
- Strong induction — large, representative sample; conclusion is highly probable.
- Weak induction — small or biased sample; conclusion is unreliable.
- All inductive conclusions are defeasible — open to revision in light of new evidence.
flowchart LR
O1[Observation 1] --> P[Pattern]
O2[Observation 2] --> P
O3[Observation 3] --> P
P --> G[General conclusion]
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18.3 Abductive Reasoning
Abduction starts from an observation and seeks the most plausible explanation. Unlike deduction (certain) or induction (generalisation), abduction is inference to the best explanation — the conclusion is one possibility among several, chosen for plausibility, simplicity, and explanatory power.
- Observation: The grass is wet this morning.
- Possible explanations: It rained overnight; the sprinkler ran; someone watered the lawn; heavy dew formed.
- Best explanation (given context): Last night’s weather forecast predicted rain → It rained.
Abduction is the engine of medical diagnosis, scientific hypothesis-formation, and detective work. The American philosopher Charles Sanders Peirce coined the term in the 1870s.
18.4 Analogical Reasoning
Analogical reasoning argues from similarity. If A and B are similar in known respects, they may be similar in further respects.
- Earth has water, atmosphere, and supports life.
- Mars has (some) water and (thin) atmosphere.
- Therefore, Mars may support life.
The strength of an analogical argument depends on:
- Number of relevant similarities — more relevant shared features = stronger.
- Relevance of the similarities — features must be relevant to the conclusion.
- Number of disanalogies — significant differences weaken the argument.
NTA Paper-I commonly uses verbal analogies of the form A : B :: C : ?.
- Doctor : Hospital :: Teacher : ? → School (relation: workplace).
- Pen : Write :: Knife : ? → Cut (relation: function).
- Ophthalmologist : Eye :: Cardiologist : ? → Heart (relation: specialist organ).
The candidate’s task is to identify the relation in the first pair, then apply it to the second.
18.5 Critical Reasoning
Critical reasoning is the evaluative stance toward arguments. The critical reasoner asks:
| Question | What it checks |
|---|---|
| Are the premises true? | Empirical and conceptual accuracy |
| Does the conclusion follow? | Logical validity |
| Are key terms defined? | Conceptual clarity |
| Are assumptions identified? | Hidden premises that must hold |
| Are alternative explanations considered? | Open-mindedness; avoiding cherry-picking |
18.5.1 Common Logical Fallacies
A fallacy is a flaw in reasoning that makes an argument unsound or invalid. NTA papers test recognition of fallacies frequently.
| Fallacy | What it does | Example |
|---|---|---|
| Ad hominem | Attacks the person, not the argument | “You can’t trust her view on policy — she dropped out of college.” |
| Straw man | Misrepresents the opponent’s view | “He says we should reform; he must want to abolish everything.” |
| Appeal to authority (without expertise) | Cites authority outside their expertise | “A movie star says vaccines cause harm; therefore, they do.” |
| Appeal to popularity (ad populum) | “Everyone believes it, so it must be true.” | |
| Appeal to ignorance | “It hasn’t been disproven, so it’s true.” | |
| False cause (post hoc) | Treats correlation as causation | “I sneezed and it rained; my sneeze caused rain.” |
| False dichotomy | Two options when more exist | “You’re with us or against us.” |
| Hasty generalisation | Generalising from too few cases | “I met two rude people from city X; everyone there is rude.” |
| Slippery slope | Treats a small step as leading inevitably to a disaster | “If we allow X, soon Y, and finally Z.” |
| Circular reasoning (petitio principii) | Conclusion is assumed in the premises | “The Bible is true because it says so.” |
| Red herring | Distracts with irrelevant information | “We were debating taxes — but look at unemployment!” |
| Equivocation | Uses a word with two meanings as if it has one | “All trees have bark. My dog has bark. So my dog is a tree.” |
flowchart TB
R[Reasoning] --> D[Deductive<br/>General → Particular<br/>Certainty]
R --> I[Inductive<br/>Particular → General<br/>Probability]
R --> A[Abductive<br/>Observation → Best Explanation]
R --> AN[Analogical<br/>A is like B]
R --> C[Critical<br/>Evaluative]
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18.6 Reasoning vs Argument vs Inference
| Term | Meaning |
|---|---|
| Reasoning | The mental process of drawing conclusions |
| Argument | A set of premises offered in support of a conclusion |
| Inference | The step from premises to conclusion |
18.7 Practice Questions
Which of the following best describes deductive reasoning?
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"All birds can fly. Penguins are birds. Therefore, penguins can fly." This argument is:
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A scientist observes that 1,000 swans she has seen are white and concludes "All swans are white." This is an example of:
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Doctor : Hospital :: Teacher : ?
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A doctor sees a patient with fever, cough and shortness of breath, and concludes "most likely COVID-19" while keeping other possibilities open. This is an example of:
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"You cannot trust her economic argument — she failed mathematics in school." This commits which fallacy?
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"I wore my lucky shirt on the day of the exam, and I passed. The shirt caused me to pass." This commits which fallacy?
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In logic, the *step* from premises to conclusion is called:
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- Five reasoning types: Deductive · Inductive · Abductive · Analogical · Critical.
- Deduction = General → Particular; Validity (form) vs Soundness (form + true premises).
- Induction = Particular → General; conclusion probable, defeasible.
- Abduction = Observation → best explanation (Peirce); used in diagnosis and detective work.
- Analogy: A is like B in known ways → may be alike in further ways. NTA: A : B :: C : ?
- Common fallacies: Ad hominem, Straw man, Appeal to authority/popularity/ignorance, False cause (post hoc), False dichotomy, Hasty generalisation, Slippery slope, Circular reasoning, Red herring, Equivocation.
- Reasoning (process) vs Argument (package) vs Inference (step).