Logic: A Beginner’s Beacon

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About Course

This academic course in Logic provides a comprehensive exploration of fundamental concepts in reasoning and argumentation. Designed for students with an interest in mathematics, philosophy, computer science, or any discipline where critical thinking is essential, this course equips learners with the tools to analyze and construct logical arguments.

Course Description:

Delve into the fascinating world of mathematical logic and equip yourself with the tools to dissect arguments, uncover fallacies, and build sound reasoning. This course will embark on a systematic exploration of:

  • The Foundations: Begin by demystifying the building blocks of logic, understanding the essential elements of sentences, their structure, and how they convey meaning.
  • The Language of Logic: Familiarize yourself with logical connectives, the symbols that bridge sentences and reveal their inherent relationships. Master the concepts of conjunction (and), disjunction (or), and negation, unlocking the power of precise expression.
  • Truth Tables: Unveil the secrets of truth tables, a powerful tool for evaluating the truth value of complex statements and unraveling the intricate web of connectives.
  • Tautologies and Contradictions: Learn to differentiate between tautologies (always true statements) and contradictions (always false statements) and appreciate their significance in building airtight arguments.
  • Conditional Statements: Grasp the nuances of conditional statements (if-then statements) and understand their implications. Explore the concept of logical consequence and identify valid and invalid arguments.
  • Biconditional Statements: Unpack the concept of biconditional statements (if and only if), their relationship to conditionals, and their crucial role in expressing equivalence.

Why Take This Course:

Logic serves as the foundation for critical thinking and analytical skills. This course provides a systematic approach to understanding and applying logical principles, essential for academic and professional success. Students will gain the ability to construct and evaluate sound arguments, a skill applicable in various disciplines. Moreover, the course offers a bridge to advanced studies in logic, mathematics, philosophy, and computer science.

The course aims to foster a deep understanding of logic, laying the groundwork for advanced studies and practical applications across diverse academic and professional domains.

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What Will You Learn?

  • A profound understanding of logical reasoning and its principles.
  • The ability to analyze arguments rigorously and identify their strengths and weaknesses.
  • Enhanced critical thinking skills applicable in various aspects of life, from academic pursuits to personal decision-making.
  • Increased confidence in expressing your ideas clearly and logically.
  • A valuable foundation for further studies in formal logic, philosophy, mathematics, and computer science.

Course Content

1. Sentences

  • 1.1 What are Sentences?
    10:31

2. Connectives

3. Conjunction and Disjunction

4. Negation of a Statement

5. Truth Tables

6. Tautology and Contradiction

7. Conditional Statements

8. Biconditional Statements in Mathematical Logic

9. Arguments And Their Validity

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