Basic concepts of mathematical logic will be covered. This will help us to understand and construct mathematical reasoning and arguments.

Formal logic provides a systematic and rigorous framework for expressing and analyzing arguments, which enables learners to evaluate the validity of reasoning, fostering critical thinking skills. Proficiency in constructing and understanding proofs enhances problem-solving abilities, encourages precision in thought, and promotes clarity in communication.

In this course, you’ll explore propositions and logical connectives in propositional logic. Next, you’ll cover first-order logic, which extends the scope to include variables, quantifiers, and predicates. Next, the rules of inference are discussed which provide the logical steps required to establish the validity of mathematical statements. 

After taking this course, you’ll develop the skills to navigate and manipulate logical systems effectively. You’ll also acquire the essential toolkit for constructing rigorous and convincing mathematical proofs—a skill that is pivotal in advanced mathematics, computer science, and other analytical disciplines.

Introduction to Logic: Basics of Mathematical Reasoning

Learn about the precedence while applying logical operators in propositional logic and how to negate compound propositions.

Introduction

Propositional Logic

Basic Operations

Assessment-I

Propositional Toolkit

Assessment-II

Logical Reasoning

Assessment-III

Quantifiers and First Order Logic

Assessment-IV

Quantified Logical Reasoning

Assessment-V

Proving Theorems

Assessment-VI

Conclusion

Precedence of Operations and Negating Compound Propositions