PHI 1101 Lecture Notes - Lecture 5: Venn Diagram, Syllogism
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In categorical reasoning the statements, or claims, of interest are categorical statements. Categorical statements make simple assertions about categories, or classes, of things. For example: all cows are herbivores. ", no gardeners are plumbers. ", some business people are, some business people are not cheaters. " moral. ", four standard forms of categorical statements: All s are p. (all cats are carnivores. ) No s are p. (no cats are carnivores. ) Some s are p. (some cats are. Some s are not p. (some cats are carnivores. ) not carnivores. ) Examples of statements: universal categorical: all students are trouble-makers. ", no a-students are slackers. ". Examples of statements: particular categorical: some people are liars. ". Some professors are not mean. ": a valid categorical syllogism is such that if its premises are true, then its conclusion must be true. We can check the validity of categorical syllogisms using the. Drawing a circle for each category or and the argument, class in diagramming the premises on these circles.