# Video tutorials - Mathematics and Statistics: Mathematical Logic H.S.C Maharashtra State Board (MSBSHSE)

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Topic  Mathematical Logic

### Video Series

We have provided more than 1 series of video tutorials for some topics to help you get a better understanding of the topic.

Series 1

Series 2

### shaalaa.com

Introduction to Logic [00:18:48]
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#### Series 1: playing of 4

Mathematical Logic
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### Description

• Statements - Introduction
• Sentences and statement
• Truth value of statement
• Open sentences
• Compound statement
• Quantifier and quantified statements
• Logical connectives : conjunction, disjunction, negation, implication/ conditional, biconditional
• Truth tables of compound statements
• Examples related to real life and mathematics
• Statement patterns and logical equivalence - tautology, contradiction, contingency, duality, negation of compound statement, contrapositive, converse, inverse
• Algebra of statements - idempotent law, associative law, commutative law, distributive law, identity law, complement law, involution law, DeMorganâ€™s laws
• Difference between converse, contrapositive, contradiction
• Application - introduction to switching circuits (simple examples).
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