MATH 1190 Chapter Notes - Chapter 1-2.1: If And Only If, Venn Diagram, Hitwise
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Proposition: is a declarative sentence (that is, a sentence that declares a fact) that is either true or false, but not both. Example: washington, d. c. , is the capital of the united states of america. [t: toronto is the capital of canada. Propositional variables/statement variables: letters used to denote propositions. Propositional calculus/propositional logic: the area of logic that deals with propositions. Compound propositions: new propositions that are formed from existing propositions using logical operators. Connectives: logical operators used to form new propositions from two or more existing propositions. Students who have taken calculus or computer science can take this class. (both can be true or individually true basically a normal or/disjunction) Students who have taken calculus or computer science, but not both, can enroll in this class. Soup or salad but not both. (only one can be true so t f or f t) Conditional statement also known as an implication: p q (if p, then q. )