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1.1 Propositions and logical operations - Texas A&M University

4/13/2018 zyBooks Propositions and logical operations Logic is the study of formal reasoning. A statement in a spoken language, such as in English, is often ambiguous in its meaning. By contrast, a statement in zyBooks 04/13/18. logic always has 17:43. a well288169. de ned Shawn Lupoli meaning. Logic is important in mathematics for proving theorems. Logic is also used in PSUWORLDCAMPUSIST230 LupoliSummer2018. computer science in areas such as arti cial intelligence for automated reasoning and in designing digital circuits. Logic is useful in any eld in which it is important to make precise statements. In law, logic can be used to de ne the implications of a particular law. In medicine, logic can be used to specify precisely the conditions under which a particular diagnosis would apply. The most basic element in logic is a proposition. A proposition is a statement that is either true or false. Table : Examples of Propositions : Statements that are either true or false.

EXERCISE 1.1.1: Identifying propositions. Determine whether each of the following sentences is a proposition. If the sentence is a proposition, then write its negation. (a) Have a nice day. Click the e ye icon to toggle solution visibility for students (b) The soup is cold. (c) The patient has diabetes. (d) The light is on. (e) It's a beautiful ...

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