Lectures related to Predicate (mathematical logic)

Covers knowledge representation in AI, logical inference, and applications in various domains.

Explores quantifiers with finite domains, uniqueness quantifier, composite statements, variable binding, and validity in logic.

Predicate Logic: Basics and Applications

Covers the basics and applications of predicate logic, including quantifiers, predicates, and propositional functions.

Predicate Logic: Universal and Existential Quantifier

Explains variables, predicates, propositional functions, and quantifiers in predicate logic.

Predicate Logic: Quantifiers and Statements

Covers the basics of predicate logic, including quantifiers and statements.

Predicate Logic: Quiz Answers Analysis

Analyzes quiz answers on predicate logic, covering quantifiers, implications, and negations.

Predicate Logic: Summary of Week 2

Covers the concept of universe of discourse and truth values in predicate logic.

Predicate Logic: Universal and Existential Quantifier

Introduces predicate logic and explains how to determine truth values using quantifiers.

Predicate Logic: More on Quantifiers

Covers quantifiers with finite domains, uniqueness, composite statements, variable binding, translating to logic, and validity.

Predicate Logic: Introduction & Equivalences

Covers predicate logic basics, quantifiers, equivalences, and natural language translation examples.

Monodromy Conjecture

Explores the Monodromy Conjecture, discussing its origins, implications, and conditions for convergence in mathematical contexts.

Logic Programming: Examples and Rules

Demonstrates logic programming with examples and rules, showcasing a tool for practical application.

Proofs: Logical Equivalence and Inference Rules

Covers the concept of logical equivalence in proofs and inference rules.

Predicate Logic: Equivalences, Negations, and De Morgan's Laws

Explores the distribution of quantifiers, logical equivalences, and negations in predicate logic.

Predicate Logic: Sets Theory

Covers predicate logic and sets theory, explaining how to manipulate logical expressions.

Automating First-Order Logic Proofs Using Resolution

Covers first-order logic syntax, semantics, and resolution for proving properties.

Course Overview: Teaser on Course Contents

Offers an overview of propositional and predicate logic, sets, functions, relations, algorithms, Swiss cities, sorting tables, Covid infections, poker hands, and prime numbers.

Set Theory: Introduction and Operations

Covers the foundation of mathematics through set theory concepts like membership and unions.

Propositions Calculation

Covers the calculation of propositions in predicate logic with a focus on logical connectives.

Predicate Logic: Nested Quantifiers

Explores nested quantifiers in logic and their translation into natural language and mathematical statements.