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What type of categorical proposition denies the overlap between the subject class and the predicate class, considering the entire class?
- a)Particular Affirmative
- b)Universal Negative
- c)Particular Negative
- d)Contrary
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What type of categorical proposition denies the overlap between the su...
A Universal Negative proposition, denoted by E, denies the overlap between the subject class and the predicate class, considering the entire class. An example of a Universal Negative proposition is "No cats are dogs". This type of proposition asserts that no member of the subject class is part of the predicate class. It is crucial to understand the distinctions between the different types of categorical propositions to grasp the structure of arguments effectively.
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What type of categorical proposition denies the overlap between the su...
Understanding Categorical Propositions
In categorical logic, propositions can be classified into four types based on their quantifiers and quality: universal affirmative, universal negative, particular affirmative, and particular negative. To answer the question, we need to focus on what it means to deny overlap between subject and predicate classes.
Universal Negative Proposition
- A universal negative proposition states that no members of the subject class are members of the predicate class.
- It is structured as "No S are P," where "S" represents the subject and "P" represents the predicate.
- This proposition effectively denies any overlap between the two classes.
Examples of Categorical Propositions
- Particular Affirmative: Some S are P. (Affirms overlap)
- Universal Negative: No S are P. (Denies overlap)
- Particular Negative: Some S are not P. (Indicates partial denial)
- Contrary: This is a logical relationship, not a categorical proposition.
Why Option B is Correct
- The question asks for a proposition that denies any overlap for the entire class.
- The universal negative (option B) makes a definitive statement about all members of the subject class, asserting that none belong to the predicate class.
- This contrasts with the particular negative, which only denies overlap for some members.
In conclusion, the correct answer is option 'B' (Universal Negative), as it explicitly denies any overlap between the subject and predicate classes across the entire category.
In categorical logic, propositions can be classified into four types based on their quantifiers and quality: universal affirmative, universal negative, particular affirmative, and particular negative. To answer the question, we need to focus on what it means to deny overlap between subject and predicate classes.
Universal Negative Proposition
- A universal negative proposition states that no members of the subject class are members of the predicate class.
- It is structured as "No S are P," where "S" represents the subject and "P" represents the predicate.
- This proposition effectively denies any overlap between the two classes.
Examples of Categorical Propositions
- Particular Affirmative: Some S are P. (Affirms overlap)
- Universal Negative: No S are P. (Denies overlap)
- Particular Negative: Some S are not P. (Indicates partial denial)
- Contrary: This is a logical relationship, not a categorical proposition.
Why Option B is Correct
- The question asks for a proposition that denies any overlap for the entire class.
- The universal negative (option B) makes a definitive statement about all members of the subject class, asserting that none belong to the predicate class.
- This contrasts with the particular negative, which only denies overlap for some members.
In conclusion, the correct answer is option 'B' (Universal Negative), as it explicitly denies any overlap between the subject and predicate classes across the entire category.
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