ABSTRACT MATHEMATICS

BASIC METHODIOLOGY AND HOW TO APPLY

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1. contrapositive statement

  • 1 implies 2, contrapositive is NOT 2 implies NOT 1
  • 1 implies 2, contrapositive is 2 implies 1
  • 1 implies 2, contrapositive is 2 implies NOT 1
  • 1 implies 2, contrapositive is 2 implies 3
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2. Truth tables

  • probability table
  • logic tables
  • true or dare

3. when integer is 2k

  • EVEN
  • ODD

4. when integer is 2k+1

  • ODD
  • EVEN

5. Converse statement (which is not equal)

  • when 1 implies 2 ( leads to), converse means NOT 2 implies NOT 1
  • when 1 implies 2 ( leads to), converse means 2 implies 1
  • when 1 implies 2 ( leads to), converse means 3 implies 4
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