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Lesson 6

Fundamentals of Advanced Mathematics Lesson 6: Denials and Equivalence of Quantifiers Please upgrade your browser All course documents available here. Problems 1.3.1 Translate the following English sentences into symbolic sentences with quan­tifiers. The universe for each is given in parentheses. (a) Not all precious stones are beautiful. (All stones) (b) All precious stones are not... read more

Lesson 5

Fundamentals of Advanced Mathematics Lesson 5: Open Sentences and Quantifiers Please upgrade your browser All course documents available here. Problems   1.3.1 Translate the following English sentences into symbolic sentences with quan­tifiers. The universe for each is given in parentheses. (a) Not all precious stones are beautiful. (All stones) (b) All precious stones are not... read more

Lesson 4

Fundamentals of Advanced Mathematics Lesson 4: Contrapositive and Equivalence Please upgrade your browser All course documents available here. Problems 1.2.1 Identify the antecedent and the consequent for each of the following conditional sentences. Assume that a, b, and f represent some fixed sequence, integer, or function, respectively. (Solution, sausagegobbler ) 1.2.2 Write the... read more

Lesson 3

Fundamentals of Advanced Mathematics Lesson 3: Conditionals and Biconditionals Please upgrade your browser All course documents available here. Problems 1.2.1 Identify the antecedent and the consequent for each of the following conditional sentences. Assume that a, b, and f represent some fixed sequence, integer, or function, respectively. (Solution, sausagegobbler ) 1.2.2 Write the... read more

Lesson 2

Fundamentals of Advanced Mathematics Lesson 2: Truth Tables and Equivalence Please upgrade your browser All course documents available here. Problems 1.1.1Which of the following are propositions? (Solution, 99hertz ) 1.1.2 Make truth tables for each of the following propositional forms. (Solution, bspang) 1.1.3 If P, Q, and R are true while S and T are false, which of the... read more

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