Foundations of Mathematical Logic

🎉 Foundations of Mathematical Logic: Also Learn Quantified Statements - From Everyday Language to Formal Logic 🎓

Course Introduction:

Welcome, future logician! My name is Suman Mathews, and I'm here to guide you through the fascinating world of Mathematical Logic. This course is designed to demystify a branch of Discrete Mathematics that is both fundamental and far-reaching in its applications, especially within Computer Science.

What You Will Learn:

Core Concepts: Get acquainted with the basic terminology of Logic, including negation, conjunction, disjunction, implication, and bi-conditional. We'll walk through creating and analyzing their truth tables together.

Laws of Logic: Discover the power of logical laws and learn to distinguish between a tautology and a contradiction. Understanding these laws is crucial for effective problem-solving skills.

Logical Operations: Explore the concepts of NAND and NOR operations, their significance as inverses of each other, and how they relate to the laws of inference.

Laws of Inference: Learn about and practice logical inferences like Conjunctive Simplification, Disjunctive Amplification, Syllogism, Modus Pones, Modus Tollens, and more to test the validity of a statement.

Key Topics Covered:

• Basic Terminology: Negation, Conjunction, Disjunction, Implication, Bi-conditional.
• Laws of Logic: Tautologies, Contradictions, Laws of Duality.
• Logical Operations: NAND and NOR inverses.
• Rules of Inference: Conjunctive Simplification, Disjunctive Amplification, Syllogism, Modal Logic (Modus Pones, Modus Tollens).
• Quantified Statements: Understanding universal and existential quantifiers, calculating their truth values, and mastering their negations with a simple trick.

Practical Application:

By the end of this course, you'll be equipped to tackle the world of formal logic. You'll understand how to apply these concepts to real-world scenarios and everyday language to translate complex ideas into something more digestible.

Who Is This Course For?

This course is ideal for:

• College Mathematics students looking to solidify their understanding of mathematical logic.
• Computer Scientists aiming to enhance their problem-solving capabilities with a logical approach.
• Educators who wish to incorporate mathematical logic into their teaching.
• Anyone interested in the foundational principles that underpin computational thinking and algorithmic design.

Join The Community:

Don't keep these valuable skills to yourself! Encourage a friend or classmate who struggles with Logic to join this course and benefit from the collective learning experience. Sharing knowledge enriches us all!

Thank you for considering this course as your gateway to mastering Mathematical Logic and Quantified Statements. I'm excited to embark on this journey with you and can't wait to see you in class. Together, we'll unlock the mysteries of mathematical logic and make it second nature.

🎉 Enroll Now and take your first step towards logical brilliance! 🎓