HomeCoursesIntroduction to Logic: Basics of Mathematical Reasoning

Updated 27 Aug

AI-powered learning

Save

Free

Introduction to Logic: Basics of Mathematical Reasoning

Name: Introduction to Logic: Basics of Mathematical Reasoning
Author: Educative

Gain insights into formal logic, propositional logic, and first-order logic. Learn inference rules and master proof construction to sharpen critical thinking and problem-solving skills.

4.3

43 lessons

Created by Educative

Introduction to Logic: Basics of Mathematical Reasoning

What's included

43 lessons across 9 modules
23 quizzes with instant feedback
AI Tutor on every lesson

Join 3.1 million developers at

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

Learning Roadmap

43 Lessons23 Quizzes6 Assessments

Introduction

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

Background and Motivation

Propositional Logic

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

Propositions

Logical Equivalence

Propositional Calculus and Boolean Algebra

Basic Operations

11 Lessons

Work your way through basic logical operations and their properties, including conjunctions, disjunctions, and negations.

Assessment-I

Assessment

Propositional Toolkit

4 Lessons

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

Assessment-II

Assessment

Logical Reasoning

9 Lessons

Take a look at logical inference, propositional rules, proofs, common fallacies, and logical puzzles.

Assessment-III

Assessment

Quantifiers and First Order Logic

5 Lessons

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

Assessment-IV

Assessment

Quantified Logical Reasoning

4 Lessons

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

Assessment-V

Assessment

Proving Theorems

5 Lessons

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

Assessment-VI

Assessment

Conclusion

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

Concluding Remarks

Certificate of Completion

Showcase your accomplishment by sharing your certificate of completion.

Developed by MAANG Engineers

Every Educative lesson is designed by a team of ex-MAANG software engineers and PhD computer science educators, and developed in consultation with developers and data scientists working at Meta, Google, and more. Our mission is to get you hands-on with the necessary skills to stay ahead in a constantly changing industry. No video, no fluff. Just interactive, project-based learning with personalized feedback that adapts to your goals and experience.

Trusted by 3.1 million developers working at companies

These are high-quality courses. Trust me the price is worth it for the content quality. Educative came at the right time in my career. I'm understanding topics better than with any book or online video tutorial I've done. Truly made for developers. Thanks

Anthony Walker

@_webarchitect_

Just finished my first full #ML course: Machine learning for Software Engineers from Educative, Inc. ... Highly recommend!

Evan Dunbar

ML Engineer

You guys are the gold standard of crash-courses... Narrow enough that it doesn't need years of study or a full blown book to get the gist, but broad enough that an afternoon of Googling doesn't cut it.

Software Developer

Carlos Matias La Borde

I spend my days and nights on Educative. It is indispensable. It is such a unique and reader-friendly site

Souvik Kundu

Front-end Developer

Your courses are simply awesome, the depth they go into and the breadth of coverage is so good that I don't have to refer to 10 different websites looking for interview topics and content.

Vinay Krishnaiah

Software Developer

Course

Mastering Algorithms for Problem Solving in Python

Gain insights into foundational and advanced algorithms, including recursion, dynamic programming, and graph algorithms, to enhance your problem-solving skills and coding proficiency in Python.

28 h

intermediate

Course

Beginner to Advanced Computing and Logic Building

Gain insights into fundamental and advanced computational techniques, explore efficient algorithm design, and learn to build interactive games. Discover strategies to tackle FAANG coding challenges.

46 h

beginner

Course

Theory of Computation

Gain insights into formal languages, regular languages, regular expressions, context-free languages, and Turing machines. Delve into automata models and enhance problem-solving skills through extensive exercises.

15 h

beginner

Course

Introduction to Computers & Programming

Gain insights into basic computer anatomy, binary systems, and program lifecycles. Delve into logic building and core programming concepts with hands-on exercises and quizzes to reinforce learning.

6 h

beginner

Course

Computer Programming for Absolute Beginners

Gain insights into programming fundamentals and language evolution. Learn about code basics, variables, conditional statements, loops, functions, and error handling.

39 h

beginner

Course

Mastering Algorithms for Problem Solving in Python

intermediate

28 hour

Course

Beginner to Advanced Computing and Logic Building

beginner

46 hour

Course

Theory of Computation