Unit 2: Propositional Logic, Predicate Calculus & Mathematical Proofs

Unit 2 Learning Hub

Propositional Logic, Predicate Calculus & Mathematical Proofs

Official MJPRU BCA Unit 2: Propositional Logic, Predicate Calculus & Mathematical Proofs for BCA-411E (Discrete Mathematics).

Syllabus Topics:Propositions: Declarative Statements, Truth Values (True/False), Atomic vs Compound PropositionsBasic Logical Connectives: Negation (NOT ~), Conjunction (AND ^), Disjunction (OR v)Conditional (Implication ->) and Biconditional (<->) Statements: Truth Tables, Antecedents and ConsequentsConverse, Inverse, and Contrapositive of Conditional Statements: Logical Equivalence Proof of Implication and ContrapositiveTruth Tables for Complex Logical Formulas: Construction and Step-by-Step EvaluationTautologies, Contradictions, and Contingencies: Definitions, Truth Table IdentificationLogical Equivalence: Equivalence Laws (Identity, Domination, Double Negation, De Morgan's Laws for Logic)Algebra of Propositions: Simplifying Boolean Propositional Expressions using Logical EquivalencesRules of Inference: Modus Ponens, Modus Tollens, Hypothetical Syllogism, Disjunctive Syllogism, ResolutionValid and Invalid Arguments: Fallacies, Testing Argument Validity via Truth Tables and Derivation RulesPredicate Logic & Propositional Functions: Variables, Predicates P(x), Domain of DiscourseQuantifiers: Universal Quantifier (For All), Existential Quantifier (There Exists)Negation of Quantified Statements: De Morgan's Laws for Quantifiers (~(For All x P(x)) <=> There Exists x ~P(x))Normal Forms in Propositional Logic: Disjunctive Normal Form (DNF) and Conjunctive Normal Form (CNF)

Card 1 of 5·+0 XP earned

Introduction to Computers & The IPO Cycle

💻

Topic 1 · The foundation of modern computing

Introduction to Computers & The IPO Cycle

+25 XP

🐾

Ready to master this concept? Give it a quick read & tap the check!

💡 The Big Picture:A computer is an electronic system that takes raw data as Input, processes it under programmed logic, and produces meaningful Information as Output.

🍪 Everyday Analogy:Think of baking cookies: Flour & Sugar (Input) ➔ The Oven (Processing) ➔ Warm Delicious Cookie (Output)! 🍪

Key Exam Takeaways

·Data = Raw, unprocessed facts without context (e.g. 42, 'apple').
·Information = Structured data with meaning (e.g. 'Temperature: 42°C').
·Hardware is what you can touch; Software is the instructions running inside.

Instant Knowledge Check

+20 XP

Which of the following represents unprocessed raw facts?

1/5