Syllogism Introduction
This worksheet introduces grade 9 students to syllogisms, focusing on identifying premises, conclusions, and evaluating validity.
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Syllogism Introduction
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Read each question carefully and follow the instructions. This worksheet is designed to help you understand syllogisms, their components, and how to evaluate their validity.
A syllogism is a type of logical argument that applies deductive reasoning to arrive at a conclusion based on two or more propositions that are asserted or assumed to be true. It typically consists of three parts:
1. Major Premise: A general statement.
2. Minor Premise: A specific statement related to the major premise.
3. Conclusion: A statement that logically follows from the two premises.
Example:
Major Premise: All men are mortal.
Minor Premise: Socrates is a man.
Conclusion: Therefore, Socrates is mortal.
For each syllogism below, identify the Major Premise, Minor Premise, and Conclusion.
1. All birds have feathers. A robin is a bird. Therefore, a robin has feathers.
Major Premise:
Minor Premise:
Conclusion:
2. All mammals are warm-blooded. A dog is a mammal. Therefore, a dog is warm-blooded.
Major Premise:
Minor Premise:
Conclusion:
A syllogism is valid if its conclusion logically follows from its premises, regardless of whether the premises are actually true. Choose the best answer for each question.
3. Which of the following syllogisms is VALID?
All cats are animals. Some animals have fur. Therefore, some cats have fur.
All cars have wheels. My bicycle has wheels. Therefore, my bicycle is a car.
All dogs bark. Fido barks. Therefore, Fido is a dog.
All fish live in water. A shark is a fish. Therefore, a shark lives in water.
4. A syllogism can have true premises but a false conclusion and still be considered valid. True or False?
True
False
5. Construct a valid syllogism where the conclusion is 'All students will learn'.
6. Construct a syllogism that has true premises but an invalid conclusion.