Introduction to Logic: Basics of Mathematical Reasoning

Introduction to Logic: Basics of Mathematical Reasoning

Gain insights into formal logic, propositional logic, and first-order logic. Learn about inference rules and master constructing rigorous proofs, enhancing critical thinking and problem-solving skills.

Beginner

43 Lessons

6h

Certificate of Completion

Gain insights into formal logic, propositional logic, and first-order logic. Learn about inference rules and master constructing rigorous proofs, enhancing critical thinking and problem-solving skills.

AI-POWERED

Explanations

AI-POWERED

Explanations

This course includes

6 Assessments
23 Quizzes

This course includes

6 Assessments
23 Quizzes

Course Overview

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 ...Show More

What You'll Learn

An understanding of propositional logic

An understanding of first-order logic

An understanding of deductive logic

Familiarity with the structure of mathematical proofs

What You'll Learn

An understanding of propositional logic

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Course Content

1.

Introduction

Get familiar with the essentials of mathematical logic to enhance reasoning and decision-making.
2.

Propositional Logic

Unpack the core of propositions, logical equivalence, and propositional calculus in mathematical reasoning.
4.

Propositional Toolkit

Break down complex ideas in logical identities, tautologies, contradictory propositions, and fundamental logical operations.
6.

Quantifiers and First Order Logic

5 Lessons

Investigate the use of predicates, quantifiers, variables, and negation in logical reasoning.
7.

Quantified Logical Reasoning

4 Lessons

Master the steps to nested quantifiers, negation, logical equivalence, and inference rules in reasoning.
8.

Proving Theorems

5 Lessons

Break down the methods of proving theorems and strategies to avoid common proof errors.
9.

Conclusion

1 Lesson

Discover the logic behind propositional and first-order logic, enhancing your reasoning skills.

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