InstituteMaharashtra State Board (MSBSHSE)

Course

Subject Mathematics and Statistics

Topic Mathematical Logic

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Mathematical Logic

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(if you have any topic related video then share link with us)### 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, DeMorgan’s laws
- Difference between converse, contrapositive, contradiction
- Application - introduction to switching circuits (simple examples).