Chapter 6 Logic

 


George Boole (1815 – 1864) invented Boolean Algebra. It is an algebra that is different from elementary algebra because variables in Boolean algebra take two possible values only, TRUE or FALSE, which is numerically indicated by 1 for TRUE and 0 for FALSE. Elementary algebra has addition, subtraction, multiplication, and division as operations, but Boolean algebra has conjunction, disjunction, and negation. Boolean algebra is the algebra that is at the heart of digital technology and computer science.

Lesson 6.1 Propositional Logic

  1. Example 1. Identify if a proposition or not
  2. Example 2. Identify if a proposition or not
  3. Example 5. Propositions before and after logical operations
  4. Example 6. Write in sentences logical propositions
  5. Example 10. Write the variations of an implication (converse, inverse, contrapositive)
  6. Activity 6.1. Answers to some selected exercises on propositional logic

Lesson 6.2 Logical Equivalence, Tautology and Fallacy

  1. Activity 6.3 Answers to selected exercises on truth tables.

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