Notes
Slide Show
Outline
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CLAST Logic
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What to Expect From
CLAST Logic
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Logic Symbols
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Statements
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Eight Logic Competencies Covered by CLAST
  • Venn Diagrams
  • Negations of Statements
  • Equivalence or Non-Equivalence of Statements
  • Transforming Statements Without Affecting Their Meaning
  • Drawing Conclusions From Data
  • Identifying Invalid Arguments With True Conclusions
  • Valid Reasoning Patterns
  • Logical Conclusions When Facts Warrant Them
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Competency 1:
Venn Diagrams
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Example 1
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Example 1 Choice A
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Example 1 Choice B
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Example 1 Choice C
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Example 1 Summary
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Example 2
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Example 2 Answer
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Competency 2:
Negations of Statements
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Examples:
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Negating the “NOT” statement
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Negating the “AND” statement
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Negating the “OR” statement
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Negating Compound Statements
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The tricky negation: the IF statement
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The tricky negation: the IF statement 2
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Your Turn
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Answers (negation of statements) 1
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Answers (negation of statements) 2
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Negating statements that contain quantifiers:
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the “Square of Opposition”
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Examples:
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Now Your Turn
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Answers
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Competency 3:
Equivalence or Non-Equivalence of Statements
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Statement Equivalence Rules
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“if...then” equivalencies
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Caution on “if…then” statements
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Example of “if...then” equivalencies
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Now Your Turn
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Your Turn Answer
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A little trick:
  • You may be asked what is NOT EQUIVALENT.
  •  For  “If p then q” look for the following forms.
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You try:
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You try: Answers
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Another One for You
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Sample Question
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Solution
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Rephrasing Statements
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Competency 4:
Identifying Rules for Transforming Statements
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Rules for Transforming Statements
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Example 1
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Example 2
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Example 3
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Applying Transformations
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Example 4
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Example 5
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Example 6
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Competency 5:
Drawing Conclusions From Data
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Patterns of
Argumentation
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the Basic Patterns
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Understanding the Basic Patterns
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Argument 1
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Argument 2
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Argument 3
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Argument 4
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Rephrasing Premises
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Competency 6:
Identifying invalid arguments with true conclusions
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Example 1
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Venn Diagram of Example 1
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Remember:
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Warning:
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Try this one
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Venn Diagram Solution
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Another One for You
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Answer
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Competency 7:
Valid Reasoning Patterns
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Patterns of
Reasoning
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Now, you try
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Solution
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Try again
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Solution
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Competency 8
Logical Conclusions When Facts Warrant Them
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Summary of Equivalent Statements
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Patterns of Reasoning
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Example 1
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Example 1:  first method, 1
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Example 1:  first method, 2
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Example 1:  second method, 1
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Example 1:  second method, 2
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Did you notice ...
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Example 2
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Example 2: solution, 1
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Example 2: solution, 2
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Sample Problem 1
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Solution
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Sample Problem 2
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Solution, part 1
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Solution, part 2
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Practice Test
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Answers: