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Discrete Structures

Discrete Structures. Chapter 6: Set Theory 6.3 Disproofs, Algebraic Proofs, and Boolean Algebras. If a fact goes against common sense, and we are nevertheless compelled to accept and deal with this fact, we learn to alter our notion of common sense. – Phillip J. Davis and Reuben Hersh

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Discrete Structures

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  1. Discrete Structures Chapter 6: Set Theory 6.3 Disproofs, Algebraic Proofs, and Boolean Algebras If a fact goes against common sense, and we are nevertheless compelled to accept and deal with this fact, we learn to alter our notion of common sense. – Phillip J. Davis and Reuben Hersh The Mathematical Experience, 1981 6.3 Disproofs, Algebraic Proofs, and Boolean Algebras

  2. Example – pg. 372 • For the example below, find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set U. 6.3 Disproofs, Algebraic Proofs, and Boolean Algebras

  3. Examples – pg. 372 • For the examples below, prove each statements that is true and find a counterexample for each statement that is false. Assume all sets are subsets of a universal set U. 6.3 Disproofs, Algebraic Proofs, and Boolean Algebras

  4. Examples – pg. 373 • For the examples below, construct an algebraic proof for the given statement. Cite a property from Theorem 6.2.2 for every step. 6.3 Disproofs, Algebraic Proofs, and Boolean Algebras

  5. Example – pg. 373 • For the example below, simplify the given expression. Cite a property from Theorem 6.2.2 for every step. 6.3 Disproofs, Algebraic Proofs, and Boolean Algebras

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