# Categorical Preposition and venn diagram

May 13th, 2015
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The most useful device for understanding the nature of modern Categorical Propositions is the circle diagram of John Venn. A Venn diagram is a model for some universe of discourse.

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Categorical Preposition and venn diagramCategorical Propositions and Venn Diagrams:The most useful device for understanding the nature of modern Categorical Propositions is the circle diagram of John Venn.AVenn diagramis a model for some universe of discourse. Note that there are four regions in the diagram each corresponding to some element of a categorical proposition: 1. The region of S and only S (not P).2. The region of SandP (both S and P).3. The region of P and only P (not S).4. The region of not S, and not P, and not SandP (i.e., what lies beyond both S and P (not S and not P). UA/A All S is P. (None of S is outside of P.)UN/E No S is P. (None of S is inside of P.)PA/I Some S is P. (At least one S is inside of P.)

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