Section 9 - Reasoning and Logic

What you'll learn

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Appreciate famous scientists who contributed to the development of reasoning and logic.
Construct simple propositions, negation of simple propositions as well as compound propositions.
Construct truth tables for simple and compound propositions.
Determine the converse, inverse, contrapositive and implications of propositions.
Apply the laws of Boolean algebra.
Derive Boolean expressions for switching circuits and logic circuits.
Requirements

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None - This is applicable for students at the secondary and tertiary levels.
Description

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Reasoning and Logic form the foundation of mathematical thinking, problem solving, computer science, decision-making, and critical analysis. The ability to evaluate statements, identify valid arguments, and apply logical principles is essential not only in mathematics but also in everyday life, business, science, and technology.
In this comprehensive course, learners will explore the fundamental concepts of reasoning and logic and develop the skills needed to analyze and construct logical arguments with confidence. The course begins by examining the contributions of influential scientists, philosophers, and mathematicians whose work helped shape the development of modern logic.
Students will learn how to construct simple and compound propositions involving conjunctions, disjunctions, negations, conditionals, and biconditionals. They will develop the ability to analyze logical statements using truth tables and determine whether propositions represent tautologies, contradictions, or contingent statements.
The course also introduces logical equivalence and implication, enabling learners to evaluate arguments and recognize important relationships between propositions. Students will further explore the laws of Boolean algebra, including identity, complement, commutative, associative, distributive, idempotent, and De Morgan's laws, and apply these principles to simplify Boolean expressions.
In addition, learners will investigate quantifiers and premises and discover how logic is used in digital systems through switching circuits and logic circuits. Through clear explanations, practical examples, worked solutions, and engaging exercises, students will strengthen their analytical and critical-thinking skills.
By the end of this course, learners will possess a solid understanding of reasoning and logic and be well prepared for advanced mathematical, scientific, technological, and professional applications.
Who this course is for

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This is applicable for students at the secondary and tertiary levels.
Homepage

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