Propositional calculus | Mathematical logic | Predicate logic | Basic concepts in set theory | Fuzzy logic
In logic, a predicate is a symbol which represents a property or a relation. For instance, in the first order formula , the symbol is a predicate which applies to the individual constant . Similarly, in the formula , is a predicate which applies to the individual constants and . In the semantics of logic, predicates are interpreted as relations. For instance, in a standard semantics for first-order logic, the formula would be true on an interpretation if the entities denoted by and stand in the relation denoted by . Since predicates are non-logical symbols, they can denote different relations depending on the interpretation used to interpret them. While first-order logic only includes predicates which apply to individual constants, other logics may allow predicates which apply to other predicates. (Wikipedia).
Introduction to Predicate Logic
This video introduces predicate logic. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
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)
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
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
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
Introduction to Predicates and Quantifiers
This lesson is an introduction to predicates and quantifiers.
From playlist Mathematical Statements (Discrete Math)
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
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
Gödel's Incompleteness Theorems: An Informal Introduction to Formal Logic #SoME2
My entry into SoME2. Also, my first ever video. I hope you enjoy. The Book List: Logic by Paul Tomassi A very good first textbook. Quite slow at first and its treatment of first-order logic leaves a little to be desired in my opinion, but very good on context, i.e. why formal logic is im
From playlist Summer of Math Exposition 2 videos
You should know what Impredicativity is.
In this video I discuss the concept of predicativity, impredicativity and vicious circles. The text for the video is found in https://gist.github.com/Nikolaj-K/aae1f4bd582e60e6b7e5b5431fee054c
From playlist Logic
PREDICATE LOGIC and QUANTIFIER NEGATION - DISCRETE MATHEMATICS
Today we wrap up our discussion of logic by introduction quantificational logic. This includes talking about existence and universality. We also discuss the negation of our quantificational operators. Visit my website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--
From playlist Discrete Math 1
SEM_019 - Linguistic Micro-Lectures: Predications and Predicates
What are predicates and in what way are they related to predications? Within less than two minutes Prof. Handke explains the central machinery of predicate logic. (Optional Spanish subtitles by Andrea Yaques, Lima, Peru)
From playlist Micro-Lectures - Semantics
Start Learning Sets - Part 2 - Predicates, Equality and Subsets [dark version]
Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via other methods: https://thebrightsideofmathematics.
From playlist Start Learning Mathematics [dark version]
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
1.5.4 Predicate Logic 3: 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
Logic: The Structure of Reason
As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be
From playlist Logic & Philosophy of Mathematics
Syntax of PREDICATE LOGIC and WELL-FORMED FORMULAS (wffs) - Logic
In this video on #Logic / #PhilosophicalLogic we take a look at the requirements of well-formed formulas (wffs) in predicate logic and why we need predicate logic for stronger arguments. Then we do some practice questions. 0:00 - [Intro] 0:19 - [Why We Use Predicate Logic] 3:23 - [Syntax
From playlist Logic in Philosophy and Mathematics
Discrete Math - 1.4.1 Predicate Logic
Introduction to predicates and propositional functions. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
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