The extension of a predicate – a truth-valued function – is the set of tuples of values that, used as arguments, satisfy the predicate. Such a set of tuples is a relation. (Wikipedia).
Introduction to Predicate Logic
This video introduces predicate logic. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Translating ENGLISH into PREDICATE LOGIC - Logic
In this video on Logic, we learn to translate English sentences into Predicate Logic. We do sentences with only constants and predicates, as well as introduce the universal and existential quantifier "some x is P" and "every x is P" and then do some practice problems. Predicate Logic trans
From playlist Logic in Philosophy and Mathematics
An Overview of Predicate Logic for Linguists - Semantics in Linguistics
This video covers predicate logic in #semantics for #linguistics. We talk about predicates, quantifiers (for all, for some), how to translate sentences into predicate logic, scope, bound variables, free variables, and assignment functions. Join this channel to get access to perks: https:/
From playlist Semantics in Linguistics
Predicates and their Truth Sets
A predicate is a sentence that depends on the value of a variable. For instance, "x is greater than 3". If you tell me a specific value of x, like 7 or 2, then the predicate becomes a logical statement which is either true or false. The Truth Set of a predicate is all of the values of the
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
VALIDITY and ENTAILMENT in Truth Trees for Predicate Logic - Logic
In this video on Logic, we look at entailment and validity in truth trees for predicate logic. We learn how to do negated universal decomposition, negated existential decomposition, universal elimination, and existential elimination. We then do three practice truth trees. 0:00 - [Validity
From playlist Logic in Philosophy and Mathematics
Translating NO and NOT ALL into Predicate Logic - Logic
In this video on Logic, we learn to translate English sentences into Predicate Logic. We introduce the negated universal and existential quantifier "No x is P" and "Not every x is P" and then do some practice problems. Predicate Logic translation is fun, eh? 0:00 - [Predicate Logic to Eng
From playlist Logic in Philosophy and Mathematics
This first E-Lecture on Predicate Logic is meant as a gentle introduction. It first points out why propositional logic alone is not sufficient for the formalization of sentence meaning and then introduces the central machinery of predicate logic using several examples with which the studen
From playlist VLC103 - The Nature of Meaning
1.5.1 Predicate Logic 1: Video
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
Mod-05 Lec-21 The Nyaya Philosophy - VII
Indian Philosophy by Dr. Satya Sundar Sethy, Department of Humanities and Social Sciences, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist IIT Madras: Introduction to Indian Philosophy | CosmoLearning.org Philosophy
Georges Gonthier - Functional Encodings of Mathematics
A remarkable feature of logics based on typed lambda calculus is that they allow embedding functional programs in the representation of mathematical knowledge. These can be used to animate formal theories and make them behave, in part, as a working mathematician would expect. Examples of s
From playlist Workshop Schlumberger 2022 : types dépendants et formalisation des mathématiques
LambdaConf 2015 - Introduction to Constraint Logic Programming Sergii Dymchenko
Constraint logic programming is a paradigm that allows solving hard combinatorial problems with minimal programming effort. In this workshop you will learn the basics of the Prolog-based constraint logic programming system ECLiPSe, solve several puzzles, and get hints how constraint logic
From playlist LambdaConf 2015
Joel David Hamkins : The hierarchy of second-order set theories between GBC and KM and beyond
Abstract: Recent work has clarified how various natural second-order set-theoretic principles, such as those concerned with class forcing or with proper class games, fit into a new robust hierarchy of second-order set theories between Gödel-Bernays GBC set theory and Kelley-Morse KM set th
From playlist Logic and Foundations
On definability of valuations of finitely generated fields - F. Pop - Workshop 2 - CEB T1 2018
Florian Pop (University of Pennsylvania) /09.03.2018 On definability of valuations of finitely generated fields. Definability of (special classes of) valuations of finitely generated fields K is the key technical tool in solving the strong EEIP. We will show that the prime divisors of su
From playlist 2018 - T1 - Model Theory, Combinatorics and Valued fields
This video contains solutions to sample problems involving predicates. This includes: * Finding which elements of a domain make a predicate true * Determining whether a quantified statement is true or false
From playlist Discrete Mathematics
Axiom of Choice and Regularity each imply LEM
I recommend you go through all parts, but thee AC-LEM proof starts at 55:30. If you skip stuff, still watch the section at 8:22, because I talk in terms of those semantics later. The Regularity-LEM proof at 1:50:55 requires definitions from the earlier AC-LEM proof. Timestamps: 0:00 Intro
From playlist Summer of Math Exposition 2 videos
Axioms of Constructive Set Theory Explained
In this video we're going to discuss the various axiom schemes of constructive set theories and how they relate to type theory. I cover BCST, ECST, IKP, KPI, KP, CST, CZF, IZF, Mac Lane, Z and variants equi-consistent to ETCS from category theory, and then of course ZF and ZFC. The text I
From playlist Logic
Advanced 6. Planning with Temporal Logic
MIT 16.412J Cognitive Robotics, Spring 2016 View the complete course: https://ocw.mit.edu/16-412JS16 Instructor: MIT students This is the seventh advanced lecture in the MIT 16.412 Cognitive Robotics of Spring 2016, led by MIT students. Students presented the research in linear temporal l
From playlist MIT 16.412J Cognitive Robotics, Spring 2016
Thomas Colcombet : Algebra vs Logic over (generalised) words
CONFERENCE Recording during the thematic meeting : « Discrete mathematics and logic: between mathematics and the computer science » the January 17, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Jean Petit Find this video and other talks give
From playlist Logic and Foundations
This E-Lecture builds upon Predicate Logic I and discusses the main principles of quantification. Prof. Handke explains how to use and interpret the universal, the existential and the negative quantifier and uses several examples for illustration.
From playlist VLC103 - The Nature of Meaning