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Question

Match List - I with List - II :

List - I
(Figures of Categorical Syllogism)
List - II
(Structure)
A. FirstI. M-P, S-M $\rightarrow$ S-P
B. SecondII. P-M, S-M $\rightarrow$ S-P
C. ThirdIII. M-P, M-S $\rightarrow$ S-P
D. FourthIV. P-M, M-S $\rightarrow$ S-P


Choose the correct answer from the options given below :

The correct answer is
A-I, B-II, C-III, D-IV

Understanding Categorical Syllogism Figures and Structures

This question requires matching the four figures of a categorical syllogism with their respective structural representations. A categorical syllogism is a deductive argument consisting of three parts: a major premise, a minor premise, and a conclusion. Each part contains a categorical proposition. The key to identifying the figure is the position of the middle term (M) in the premises. The major term is denoted by 'P' and the minor term by 'S'. The conclusion always has the structure S-P.

Defining Syllogism Terms and Structure

  • S (Minor Term): The subject of the conclusion.
  • P (Major Term): The predicate of the conclusion.
  • M (Middle Term): The term that appears in both premises but not in the conclusion.

Analyzing Each Figure

First Figure (A)

In the First Figure, the middle term (M) is the subject of the major premise and the predicate of the minor premise.

  • Major Premise Structure: M-P
  • Minor Premise Structure: S-M
  • Conclusion Structure: S-P
  • Combined Representation: M-P, S-M $\rightarrow$ S-P
  • This corresponds to Structure I in List-II.

Second Figure (B)

In the Second Figure, the middle term (M) is the predicate of both the major and minor premises.

  • Major Premise Structure: P-M
  • Minor Premise Structure: S-M
  • Conclusion Structure: S-P
  • Combined Representation: P-M, S-M $\rightarrow$ S-P
  • This corresponds to Structure II in List-II.

Third Figure (C)

In the Third Figure, the middle term (M) is the subject of both the major and minor premises.

  • Major Premise Structure: M-P
  • Minor Premise Structure: M-S
  • Conclusion Structure: S-P
  • Combined Representation: M-P, M-S $\rightarrow$ S-P
  • This corresponds to Structure III in List-II.

Fourth Figure (D)

In the Fourth Figure, the middle term (M) is the predicate of the major premise and the subject of the minor premise.

  • Major Premise Structure: P-M
  • Minor Premise Structure: M-S
  • Conclusion Structure: S-P
  • Combined Representation: P-M, M-S $\rightarrow$ S-P
  • This corresponds to Structure IV in List-II.

Matching the Lists

Based on the analysis of each figure:

  • Figure A (First) matches Structure I.
  • Figure B (Second) matches Structure II.
  • Figure C (Third) matches Structure III.
  • Figure D (Fourth) matches Structure IV.

Therefore, the correct matching is A-I, B-II, C-III, D-IV.

Final Answer

The correct option that accurately matches List - I with List - II is:

A-I, B-II, C-III, D-IV

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Important Questions from Structure of Categorical Propositions

  1. Which of the following statement is logically equivalent to "No birds are mammals"?

  2. Which of the following statements is contrapositive to the following statement - "Some dogs are not aggressive animals"?

  3. Which of the following refers to an attribute of every categorical proposition which is determined by whether the proposition affirms or denies class inclusion?

  4. Which of the following is converse of 'Some S is P'?

  5. The converse of "All cats are mammals" is

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