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Logic and Set Theory

Overview

This chapter opens with a discussion of simple statements and their negations, and then moves on to compound statements and conditional statements. Basic reasoning is discussed. Sets and subsets are then explained, as well as unions and intersections. The chapter closes by presenting finite and infinite sets.

What you can expect to learn

After completing these activities you should be able to

  1. Identify the negation of a simple statement.
  2. Identify conjunctions and disjunctions, state whether they are true or false, and negate them.
  3. Identify the parts of a conditional, and be able to negate a conditional.
  4. Identify whether an argument is inductive or deductive, and be able to tell whether a conclusion is true or false based on its premises.
  5. Answer questions about elements and subsets of sets.
  6. Find the union or the intersection of sets.
  7. Determine whether a set is finite or infinite, and be able to answer questions relating to number sets.
Activity List