In logic, predicate abstraction is the result of creating a predicate from a sentence. If Q is any formula then the predicate abstract formed from that sentence is (λy.Q), where λ is an abstraction operator and in which every occurrence of y occurs bound by λ in (λy.Q). The resultant predicate (λx.Q(x)) is a monadic predicate capable of taking a term t as argument as in (λx.Q(x))(t), which says that the object denoted by 't' has the property of being such that Q. The law of abstraction states ( λx.Q(x) )(t) ≡ Q(t/x) where Q(t/x) is the result of replacing all free occurrences of x in Q by t. This law is shown to fail in general in at least two cases: (i) when t is irreferential and (ii) when Q contains modal operators. In modal logic the "de re / de dicto distinction" is stated as 1. (DE DICTO): 2. (DE RE): . In (1) the modal operator applies to the formula A(t) and the term t is within the scope of the modal operator. In (2) t is not within the scope of the modal operator. (Wikipedia).
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)
Introduction to Predicate Logic
This video introduces predicate logic. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Pre-Calculus - Vocabulary of functions
This video describes some of the vocabulary used with functions. Specifically it covers what a function is as well as the basic idea behind its domain and range. For more videos visit http://www.mysecretmathtutor.com
From playlist Pre-Calculus - Functions
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
Pre-Calculus - Determine if a function is one to one
When getting ready for inverse functions, you'll often hear a lot of information on one to one functions. So what exactly is a one to one function? This video will help out with that, as well as show ways you can test if a relation is a one to one function using the vertical and horizont
From playlist Pre-Calculus
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
Finding the Domain of Functions (Precalculus - College Algebra 4)
Support: https://www.patreon.com/ProfessorLeonard Cool Mathy Merch: https://professor-leonard.myshopify.com/ What the Domain means for functions, what to look for, and how to find it for basic functions.
From playlist Precalculus - College Algebra/Trigonometry
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
The abstract chromatic number - Leonardo Nagami Coregliano
Computer Science/Discrete Mathematics Seminar I Topic: The abstract chromatic number Speaker: Leonardo Nagami Coregliano Affiliation: University of Chicago Date: March 22, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Nicole Schweikardt: Databases and descriptive complexity – lecture 1
Recording during the meeting "Spring school on Theoretical Computer Science (EPIT) - Databases, Logic and Automata " the April 11, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by wor
From playlist Numerical Analysis and Scientific Computing
Learn the meaning of 7 fancy, yet important, programming terms before your next technical interview https://fireship.io 00:00 Intro 00:58 Idempotent 02:08 Ephemeral 03:16 Anonymous 04:13 Predicate 05:10 Memoization 05:59 Abstraction 07:06 Serialization Install the quiz app 🤓 iOS https:
From playlist CS101
Complete Statistical Theory of Learning (Vladimir Vapnik) | MIT Deep Learning Series
Lecture by Vladimir Vapnik in January 2020, part of the MIT Deep Learning Lecture Series. Slides: http://bit.ly/2ORVofC Associated podcast conversation: https://www.youtube.com/watch?v=bQa7hpUpMzM Series website: https://deeplearning.mit.edu Playlist: http://bit.ly/deep-learning-playlist
From playlist AI talks
RubyConf 2022: In Defense of Ruby Metaprogramming By Noel Rappin
If you’ve learned Ruby recently, you’ve likely been told to avoid using Ruby’s metaprogramming features because they are “dangerous”. Here at RubyConf, we laugh at danger. Or at least chuckle nervously at it. Ruby’s flexibility is one of the features that makes Ruby powerful, and ignoring
From playlist RubyConf 2022: Mini and Houston
Topos seminar Lecture 15: Abstraction and adjunction (Part 1)
I begin by explaining in a simple example the connection between formal reasoning involving distinct concepts, and adjunctions between classifying topoi. This leads to a discussion of models in topoi (focused on the particular example of the theory of abelian groups) then to the syntactic
From playlist Topos theory seminar
(Part 2) The Palamite Controversy: A Thomistic Analysis by Fr. Peter Totleben, O.P.
A reading of chapter 2 (God and His Activity in the World: A Thomistic Approach) of "The Palamite Controversy: A Thomistic Analysis" by Peter Totleben, O.P. https://www.academia.edu/35580908/The_Palamite_Controversy_A_Thomistic_Analysis
From playlist Palamas and Thomism
The Ideas of Quine - Bryan Magee & Quine (1978)
In this program, Willard Van Orman Quine discusses the nature of philosophy and some of his own work in philosophy with host Bryan Magee. This is from a 1978 series on Modern Philosophy called Men of Ideas. #Philosophy #BryanMagee #Quine
From playlist Bryan Magee Interviews - Modern Philosophy: Men of Ideas (1977-1978)
On Approximability of CSPs on Satisfiable Instances - Subhash Khot
Computer Science/Discrete Mathematics Seminar I Topic: On Approximability of CSPs on Satisfiable Instances Speaker: Subhash Khot Affiliation: New York University Date: November 22, 2021 Constraint Satisfaction Problems (CSPs) are among the most well-studied problems in Computer Science,
From playlist Mathematics
Introduction to Predicates and Quantifiers
This lesson is an introduction to predicates and quantifiers.
From playlist Mathematical Statements (Discrete Math)