PART 2 MODULE 1 LOGIC: STATEMENTS, NEGATIONS, …
statement "1 + 1 = 2." In that case, p ∨ q is the statement "Today is Tuesday or 1 + 1 = 2." In general, in order for a statement of the form p ∨ q to be true, at least one of its two parts must be true. The only time a disjunction is false is when both parts (both “components”) are false. The statement "Today is Tuesday or 1 + 1 = 2 ...
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CHAPTER 2
www.math.fsu.edup;q;r;s;:::, and connectives or logical operators. A logical operator is either a unary operator, meaning it is applied to only a single proposition; or a binary operator, meaning it is applied to two propositions. Truth tables are used to exhibit the rela-tionship between the truth values of a compound proposition and the truth values of
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PART 1 MODULE 3 VENN DIAGRAMS AND SURVEY …
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www.math.fsu.eduinjection. It is not a surjection because the range is not equal to the codomain. For example, there is no number in the domain with image 1 which is an element of the codomain. It is not an injection since more than one distinct element in the domain is mapped to the same element in the codomain. For example, f( 1) = f(1) but 1 6= 1 . Exercise ...
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