NTA-NET (UGC-NET) Philosophy (03) Logic-Formal and Symbolic-Nature of Propositions Study Material (Page 3 of 5)

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Venn Diagram: Universal Affirmative Propositions, Universal Negative Propositions, Particular Affirmative Propositions, Particular Negative Propositions

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  • A Venn diagram is a diagram or a pictorial representation of all the possible logical relations between a set of propositions.
  • In other words, categorical propositions of an argument can be represented with diagram.
  • The diagram deals with two interlocking circles named S and P, which stand for the two classes; subject class and the predicate class.
  • These diagrams are called Venn diagrams, the name Venn has been taken after the English logician named John Venn.
  • These Venn diagrams perform the function of testing the validity of deductive arguments.
  • Now, there are four kinds of categorical propositions;

Universal Affirmative Propositions

  • Universal affirmative proposit…

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Symbolic Representation for Categorical Propositions: Universal Affirmative Propositions, Universal Negative Propositions, Particular Affirmative Propositions, Particular Negative Propositions

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  • According to Boole՚s interpretation of categorical propositions, the empty class is represented with the symbol 0.
  • So, if one says, the class S has no members. Then, it can be represented as S = 0.
  • On the contrary, if one were to deny that the class of S is not empty, then it can be represented as .

Symbolic Representation of Categorical Propositions

Universal Affirmative …

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