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Understanding Syllogisms

A Grade 12 ELA worksheet on identifying, analyzing, and constructing valid syllogisms.

Grade 12 ELA ReadingReading Comprehension StrategiesSyllogism
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Includes

TextMultiple ChoiceFill in the BlanksTrue / FalseShort Answer

Standards

CCSS.ELA-LITERACY.RL.11-12.4CCSS.ELA-LITERACY.W.11-12.1.B
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Understanding Syllogisms

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Read each section carefully and answer the questions to the best of your ability. This worksheet will test your understanding of syllogisms, their structure, and their validity.

A syllogism is a form of deductive reasoning where a conclusion is drawn from two given or assumed propositions (premises). A classic syllogism structure includes a major premise, a minor premise, and a conclusion. For a syllogism to be valid, the conclusion must logically follow from the premises, regardless of whether the premises themselves are true. For a syllogism to be sound, it must be both valid AND have true premises.

1. Which of the following best describes a valid syllogism?

a

A syllogism with true premises and a true conclusion.

b

A syllogism where the conclusion logically follows from the premises.

c

A syllogism that uses inductive reasoning.

d

A syllogism with only one premise.

2. Consider the following syllogism: Major Premise: All mammals are animals. Minor Premise: All dogs are mammals. Conclusion: Therefore, all dogs are animals. This syllogism is an example of:

a

An invalid but sound syllogism.

b

A valid but unsound syllogism.

c

A valid and sound syllogism.

d

Neither valid nor sound.

3. A syllogism consists of two premises and one  .

4. For a syllogism to be  , its conclusion must logically follow from its premises.

5. If a syllogism is both valid and has true premises, it is considered  .

6. All valid syllogisms are also sound.

T

True

F

False

7. Inductive reasoning is a type of syllogism.

T

True

F

False

8. Construct a valid but unsound syllogism. Clearly label your major premise, minor premise, and conclusion.

9. Explain the difference between a valid syllogism and a sound syllogism.