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thinking skillsLogical Reasoningcore
Logical Deduction
Learn to draw specific conclusions from general statements using deductive reasoning.
Key Ideas
- Deduction moves from general rules to specific conclusions.
- If the premises are true and the logic is valid, the conclusion MUST be true.
- Watch out for words like 'all', 'some', 'none', 'always', and 'never'.
- Use Venn diagrams to visualize relationships between groups.
Worked Examples
Example 1
All birds lay eggs. Penguins are birds. Therefore...
Explanation
Premise 1: All birds lay eggs (General Rule).
Premise 2: Penguins are birds (Specific Case).
Conclusion: Penguins must lay eggs.
This is a valid deduction.
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Common Mistakes
- ×Assuming 'Some A are B' means 'Some A are not B' (it might not).
- ×Confusing 'All A are B' with 'All B are A'.
Exam Tip
"If you can draw a diagram where the conclusion is false while the premises remain true, then the argument is invalid."