PHI 1101 Chapter Notes - Chapter 5: Venn Diagram, Syllogism

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PHI 1101 Full Course Notes
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PHI 1101 Full Course Notes
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More valid argument forms categorical reasoning and venn diagrams. Now we will show that argument can be valid because of the relationships between the terms within the sentences of argument. Many everyday sorts of statements put things into categories or classes. Categorical statements such as these enter into some reasoning patterns whose validity or invalidity, we can conclusively demonstrate. The easiest and perhaps most commonsensical way of showing validity or invalidity in categorical reasoning is to construct intersecting circles to form venn diagrams. One circle to represent the category trout and another circle to represent the category fish. Suppose instead that somehow, we are not sure if. Categorical statements that exclude members of one class from another class are easily understood. No snakes are mammals sat that anything that is a snake is not a mammal. This means that in the venn diagram, the pat of the snake circle that intersects the mammal circle must be shaded out.

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