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Categorical Syllogisms: Basic concept questions about the RULES
Categorical Syllogisms: Basic concept questions about the RULES.
Question 1 (1 point)
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Match the description with the fallacy:
Two negative premises.
Question 1 options:
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Undistributed middle term |
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Existential fallacy (Boolean) |
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Exclusive premises |
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Illicit minor |
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Rule #4 fallacy |
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Illicit major |
Question 2 (1 point)
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Which one of the following propositions distributes only its predicate?
Question 2 options:
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All S are P |
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Some S are not P |
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Some S are P |
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No S are P |
Question 3 (1 point)
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When does the fallacy of exclusive premises occur?
Question 3 options:
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When there is a negative premise and a negative conclusion. |
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When there are two negative premises. |
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When there is a negative premise, but no negative conclusion. |
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When there is not a negative premise. |
Question 4 (1 point)
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How many times must the middle term be distributed?
Question 4 options:
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At least twice. |
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Exactly twice. |
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At least once |
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Exactly once |
Question 5 (1 point)
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When does the fallacy of the illicit minor occur?
Question 5 options:
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When the minor term is distributed in the premise but not in the conclusion. |
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When there is no minor term. |
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When the minor term is distributed in the conclusion but not in the minor premise. |
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When the minor term is not distributed at all. |
Question 6 (1 point)
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Which one of the following propositions is negative and universal?
Question 6 options:
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Some S are not P |
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All S are P |
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Some S are P |
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No S are P |
Question 7 (1 point)
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The existential fallacy occurs in two ways. Which way is the Boolean way?
Question 7 options:
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When the premises are universal but the conclusion is particular. |
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When the premises are universal but the conclusion is a particular thing that does not actually exist. |
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When a premise and a conclusion are particulars. |
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When the conclusion is a universal but the premises are particular. |
Question 8 (1 point)
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What fallacy is committed when a syllogism has a negative premise but not a negative conclusion?
Question 8 options:
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Exclusive premises |
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Illicit major |
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Existential fallacy |
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Rule #4 violation (there is no cool name) |
Basic questions about counterexamples

Question 9 (1 point)
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What is the first step to making a counter example?
Question 9 options:
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Make the premises TRUE with commonly understood terms. |
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Replace the terms with variables (if not already). |
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Begin with an invalid syllogism. |
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Make the conclusion FALSE with commonly understood terms. |
Question 10 (1 point)
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What principle does the counterexample method rely on?
Question 10 options:
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An argument that has true premises is valid. |
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All arguments with true premises and a true conclusion are valid. |
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An argument that can have true premises and a false conclusion is invalid. |
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All arguments with false conclusions are invalid. |
Question 11 (1 point)
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What is the third step to making a counter example?
Question 11 options:
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Replace the terms with variables (if not already). |
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Make the premises TRUE with commonly understood terms. |
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Make the conclusion FALSE with commonly understood terms. |
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Begin with an invalid syllogism. |
Practice

Practice with the rules.
Question 12 (1 point)
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Which fallacy or fallacies (if any) does the following syllogism commit? (the conclusion is underneath the line). Check all that apply.
All P are M
No M are S
No S are P
Question 12 options:
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Exclusive premises |
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Illicit major |
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Undistributed middle |
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Existential fallacy (Boolean) |
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Illicit minor |
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No, fallacy; it's valid. |
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Rule #4 |
Question 13 (1 point)
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Which fallacy or fallacies (if any) does the following syllogism commit? (the conclusion is underneath the line). Check all that apply.
All P are M
No S are M
All S are P
Question 13 options:
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No, fallacy; it's valid. |
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Undistributed middle |
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Rule #4 |
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Exclusive premises |
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Illicit minor |
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Existential fallacy (Boolean) |
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Illicit major |
Question 14 (1 point)
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Which fallacy or fallacies (if any) does the following syllogism commit? (the conclusion is underneath the line). Check all that apply.
All M are P
All M are S
Some S are P
Question 14 options:
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Existential fallacy (Boolean) |
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Undistributed middle |
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Illicit minor |
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Illicit major |
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No, fallacy; it's valid. |
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Rule #4 |
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Exclusive premises |
Question 15 (1 point)
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Which fallacy or fallacies (if any) does the following syllogism commit? (the conclusion is underneath the line). Check all that apply.
Some M are P
All M are S
Some S are not P
Question 15 options:
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Undistributed middle |
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Illicit minor |
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Existential fallacy (Boolean) |
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Exclusive premises |
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Rule #4 |
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No, fallacy; it's valid. |
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Illicit major |
Question 16 (1 point)
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Which fallacy or fallacies (if any) does the following syllogism commit? (the conclusion is underneath the line). Check all that apply.
No M are P
Some M are S
Some S are not P
Question 16 options:
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Existential fallacy (Boolean) |
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Rule #4 |
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Illicit major |
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Illicit minor |
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No, fallacy; it's valid. |
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Exclusive premises |
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Undistributed middle |
Question 17 (1 point)
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Which fallacy or fallacies (if any) does the following syllogism commit? (the conclusion is underneath the line). Check all that apply.
No P are M
All S are M
No S are P
Question 17 options:
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Existential fallacy (Boolean) |
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Rule #4 |
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Undistributed middle |
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No, fallacy; it's valid. |
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Exclusive premises |
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Illicit major |
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Illicit minor |
Question 18 (1 point)
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Which fallacy or fallacies (if any) does the following syllogism commit? (the conclusion is underneath the line). Check all that apply.
Some M are not P
Some S are not M
Some S are not P
Question 18 options:
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Rule #4 |
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Illicit minor |
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Exclusive premises |
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No, fallacy; it's valid. |
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Illicit major |
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Existential fallacy (Boolean) |
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Undistributed middle |
Question 19 (1 point)
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Which fallacy or fallacies (if any) does the following syllogism commit? (the conclusion is underneath the line). Check all that apply.
No M are P
All S are M
No S are P
Question 19 options:
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Exclusive premises |
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Illicit minor |
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No, fallacy; it's valid. |
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Existential fallacy (Boolean) |
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Illicit major |
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Rule #4 |
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Undistributed middle |
Question 20 (1 point)
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Given the following two premises of a valid syllogism, what conclusion must logically follow.
Some M are P
Some S are M
Use the rules or the Venn diagrams to find the answer.
Question 20 options:
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Some S are P |
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No conclusion follows |
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All S are P |
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Some S are not P |
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No S are P |
Question 21 (1 point)
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Given the following two premises of a valid syllogism, what conclusion must logically follow.
Some P are M
All M are S
Use the rules or the Venn diagrams to find the answer.
Question 21 options:
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Some S are P |
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Some S are not P |
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No S are P |
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All S are P |
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No conclusion follows |
Question 22 (1 point)
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Given the following two premises of a valid syllogism, what conclusion must logically follow.
All M are P
All S are M
Use the rules or the Venn diagrams to find the answer.
Question 22 options:
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Some S are P |
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All S are P |
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No S are P |
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Some S are not P |
Question 23 (1 point)
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Given the following two premises of a valid syllogism, what conclusion must logically follow.
No M are P
No S are M
Use the rules or the Venn diagrams to find the answer.
Question 23 options:
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No S are P |
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Some S are P |
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All S are P |
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No conclusion follows |
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Some S are not P |
Question 24 (1 point)
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Given the following two premises of a valid syllogism, what conclusion must logically follow.
Some P are not M
Some S are M
Use the rules or the Venn diagrams to find the answer.
Question 24 options:
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Some S are P |
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All S are P |
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No S are P |
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Some S are not P |
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No conclusion follows |
Practice with counterexamples
Question 25 (1 point)
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Which of the following cannot be a PREMISE in a counterexample?
Question 25 options:
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All dogs are golden retrievers. |
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All golden retrievers are dogs. |
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All golden retrievers are animals. |
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All mammals are animals. |
Question 26 (1 point)
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What term will correctly complete this counterexample?
All _____ are dogs.
Some dachshunds are not _____.
Some dachshunds are not dogs
Question 26 options:
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Cars. |
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Poodles |
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Cats |
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Dachsunds. |
Question 27 (1 point)
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Consider the following invalid syllogism. Which of the following selections is the counter example?
Some P are M
Some S are M
Some S are P
Question 27 options:
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Some apples are green fruits Some Granny Smiths are green fruits Some Granny Smiths are apples |
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Some cats are animals Some dogs are animals Some dogs are cats |
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Some furry creatures are dogs Some golden retrievers are dogs Some golden retrievers are furry creatures |
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Some eggplants are vegetables Some green things are vegetables Some green things are eggplants |
Question 28 (1 point)
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The following syllogism is invalid and you have to do a counterexample of it. Which of the following is a good option for the conclusion?
Some M are P
Some M are S
Some S are P
Question 28 options:
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Some cats are dogs. |
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Some dogs are canines. |
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Some golden retrievers are dogs. |
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Some cats are felines. |
Question 29 (1 point)
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The following syllogism is invalid and you have to do a counterexample of it. Which of the following is a good option for the conclusion?
All M are P
All M are S
All S are P
Question 29 options:
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All golden retrievers are dogs. |
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All dogs are canines. |
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All cats are dogs. |
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All cats are felines. |
Expert Solution
- Exclusive premises
- Some S are not P
- When there are two negative premises.
- At least once
- When the minor term is distributed in the conclusion but not in the minor premise.
- No S are P
- When the premises are universal but the conclusion is particular.
- Rule #4 violation (there is no cool name)
- Begin with an invalid syllogism.
- An argument that can have true premises and a false conclusion is invalid.
- Make the conclusion FALSE with commonly understood terms.
- No, fallacy; it's valid.
- Rule #4
- Existential fallacy (Boolean)
- Rule #4, Illicit major
- No, fallacy; it's valid.
- No, fallacy; it's valid.
- Exclusive premises
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No, fallacy; it's valid.
- No conclusion follows
- Some S are P
- All S are P
- No conclusion follows
- No conclusion follows
- All dogs are golden retrievers.
- Poodles
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Some cats are animals
Some dogs are animals
Some dogs are cats
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Some cats are dogs.
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All cats are dogs.
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