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Mathematical Logic

Mathematical Logic is an important branch of mathematics that deals with logical reasoning and statements. It helps in understanding how mathematical arguments are formed and how conclusions are derived from given statements. In this topic, students learn how to analyze statements and determine whether they are true or false using logical rules and symbols. Mathematical logic is widely used in computer science, programming, digital circuits, and problem-solving.

Video Lectures

5 Videos

12th Maths 2026| Full Syllabus Decoding | Marks Distribution + Exam Strategy

12th Maths 2026| Full Syllabus Decoding | Marks Distribution + Exam Strategy या video मध्ये 12th Maths चा complete syllabus, chapterwise breakdown, marks distribution, आणि smart study strategy समजावून सांगितली आहे. जर तुम्हाला 90+ score करायचा असेल, तर हा video शेवटपर्यंत नक्की बघा. ✅ या video मध्ये काय आहे? ✔️ Full Maths Syllabus ✔️ Chapterwise Weightage ✔️ Important Topics ✔️ Smart Preparation Strategy ✔️ Board Exam Tips 🎯 Perfect for: 12th Board Students | Maharashtra Board | HSC Maths Students

🔥Mathematical Logic | Truth table | Class 12 Maths | 2026-27

🔥Mathematical Logic | Truth table | Class 12 Maths | 2026-27 In this lecture, we cover the complete chapter of Mathematical Logic for Mathematics Class 12 students. ✅ Introduction to Mathematical Logic ✅ Statements & Connectives ✅ Truth Tables ✅ Compound Statements ✅ Important Board Questions ✅ PYQ Practice ✅ Short Tricks & Easy Explanation 🎯 Perfect for: Board Exam Preparation 2026-27 Quick Revision Last-minute Preparation Full marks strategy

CLASS 12th 2026 | Mathematical Logic Exercise 1.1 | Full Solutions 🔥

📘 Welcome to Class 12 Mathematics! In this video, we will solve Mathematical Logic Exercise 1.1 step-by-step with easy explanations and shortcuts. This lecture is perfect for board exam preparation, quick revision, and understanding concepts clearly. ✅ Complete Exercise 1.1 Solutions ✅ Easy & Simple Explanation ✅ Important Board Questions ✅ Logical Statements & Truth Tables ✅ Perfect for Maharashtra Board Students 🎯 Watch till the end to master Mathematical Logic easily and score better in exams!

🔥 Class 12 Maths | Mathematical Logic Practice Set 1.2 Q.1 | Easy & Fast Solution | HSC 2026

🔥 Class 12 Maths | Mathematical Logic Practice Set 1.2 Q.1 | Easy & Fast Solution | HSC 2026 Learn the complete solution of Class 12 Mathematics Chapter 1 – Mathematical Logic Practice Set 1.2 Question No. 1. This video provides a step-by-step explanation using simple methods suitable for Maharashtra Board HSC students

🔥 Class 12 Maths | Mathematical Logic Practice Set 1.2 Q.2 | Easy Solution | HSC 2026-27

🔥 Class 12 Maths | Mathematical Logic Practice Set 1.2 Q.2 | Easy Solution | HSC 2026-27 In this video, we solve Class 12 Mathematics – Mathematical Logic Practice Set 1.2 Question No. 2 with a clear and easy step-by-step explanation. This solution is specially designed for Maharashtra Board HSC students preparing for board exams. ✅ Detailed Solution ✅ Easy Explanation ✅ Exam-Oriented Approach ✅ Important Concepts Covered ✅ Perfect for HSC 2026 Preparation Watch the complete video to understand the logic behind the solution and boost your confidence for board examinations. 📌 Chapter: Mathematical Logic 📌 Practice Set: 1.2 📌 Question No.: 2 📌 Class: 12th Science & Commerce (Mathematics)

Study Notes

1 Files
PDF
Mathematical Logic Complete Chapter notes
This PDF contains complete and easy-to-understand notes for the Mathematical Logic chapter (MHT-CET Maths). The chapter is explained in a simple and brief format, covering all the important concepts required for exam preparation and quick revision. Topics covered in this PDF: • Statements and propositions • Simple and compound statements • Logical connectives (NOT, AND, OR, implication, biconditional) • Truth tables and their construction • Negation of statements • Tautology, contradiction, and contingency • Logical equivalence • Important logical laws including De Morgan’s Laws • Converse, inverse, and contrapositive of a statement These notes are designed for quick revision before MHT-CET exams and help students understand the fundamentals of Mathematical Logic clearly. Perfect for students preparing for: MHT-CET Class 11 & 12 Mathematics Engineering entrance exams

Formula Bank

Negation formulas
\neg(\neg p)=p
Implication Formula
p→q≡¬p∨q
Biconditional Formula
p↔q≡(p→q)∧(q→p)
De Morgan's Laws
¬(p∨q)=¬p∧¬q
Commutative Laws
p\lor q=q\lor p\space\space\space p\land q=q\land p
Associative Laws
(p\lor q)\lor r=p\lor(q\lor r)\space,(p\land q)\land r=p\land(q\land r)
Distributive Laws
p\land(q\lor r)=(p\land q)\lor(p\land r),p\lor(q\land r)=(p\lor q)\land(p\lor r)
Identity Laws
p\lor F=p,p\land T=p
Domination Laws
p\land F=F,p\lor T=T
Idempotent Laws
p\lor p=p,p\land p=p
Idempotent Laws
p\lor p=p,p\land p=p
Complement Laws
p\lor\neg p=T,p\land\neg p=F
Double Negation Law
¬(¬p)=p
Absorption Laws
p\lor(p\land q)=p,p\land(p\lor q)=p
Important Tautologies
p\lor\neg p=T,(p\to q)\lor(q\to p)=T

Master This Topic

Challenge yourself with an assessment designed to test your understanding and speed.

Assessment 1: LOGIC TEST