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Analyzing Claims and Critical Thinking

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Second Thoughts, 4 th ed. Wanda Teays McGraw-Hill Higher Ed. © 2010. Wanda Teays. All rights reserved . Chapter Four Handling Claims, Drawing Inferences
Introduction ,[object Object],[object Object],[object Object],[object Object]
Propositions ,[object Object],[object Object],[object Object],[object Object],[object Object]
The 3 Kinds of Propositions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Structure of Propositions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Five Types of Compound Propositions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
NECESSARY & SUFFICIENT CONDITIONS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
“Only if” ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Structure of a Conditional Claim ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Forms of the Categorical Propositions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Quantity & Quality of Propositions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Five Logical Connectives Connective NEGATION Symbol ~ Name NOT Expression ~ A AND & Conjunction A & B OR ∨ Disjunction A V B IF/THEN Or ONLY IF -> Conditional A-> B IF and ONLY IF P  Q Biconditional or Equivalence A  B
Only P is Q ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Only P is Q ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Unless ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Rules of Replacement: DeMorgan’s Laws ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Transposition & Material Implication ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Exportation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Equivalence ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Analyzing Claims and Critical Thinking

  • 1. Second Thoughts, 4 th ed. Wanda Teays McGraw-Hill Higher Ed. © 2010. Wanda Teays. All rights reserved . Chapter Four Handling Claims, Drawing Inferences
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  • 12. The Five Logical Connectives Connective NEGATION Symbol ~ Name NOT Expression ~ A AND & Conjunction A & B OR ∨ Disjunction A V B IF/THEN Or ONLY IF -> Conditional A-> B IF and ONLY IF P  Q Biconditional or Equivalence A  B
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