Analysis with an Introduction to Proof Research Paper

Analysis with an Introduction to Proof - Research Paper Example Logical connectives develop rationale for verifying statements and for joining statements into compound scenarios that require decision-making. In introducing the concept of truth-value, the chapter’s logics concept improves people’s rationale in decision-making and is therefore fundamental to every person for real life decision. Professionally, the logics’ concepts are applicable to most people such as managers and health care personnel whose decision yield consequences that can be used to evaluate ability to perform as a professional. Quantifiers also play a critical role in rational decision as they establish bases for identifying variables upon which decisions can be made. Understanding nature of a quantifier in a situation also facilitates decision making through defining scope of a variable on which decision should be made. Proof techniques is another important section of the chapter that supports application of logics in decision making, as it establishes bases for verifying truth values of statements and scenarios. Exploring various techniques also improves the audience’s rational competence. Consequently, I feel the chapter is informative and equips people with competence to tackle real life problems (Lay 1- 34). Reading chapter two of the book also develops the feeling that mathematical concepts are the basis of real life experiences and decisions. The scope of sets, definition of sets and elements of a set, for example, identify with the first step of decision-making that defines a problem and its scope. Consequently, concepts of sets and elements of sets can help in establishing boundaries for problems and therefore focus analysis for generation of solutions. Basic sets operations of union and intersection further facilitates this application of sets in real life experience and is consistent with chapter one’s concept of connectives that can help in