Set theory | Propositional calculus | Logical consequence | Deductive reasoning

Deductive closure

In mathematical logic, a set of logical formulae is deductively closed if it contains every formula that can be logically deduced from , formally: if always implies . If is a set of formulae, the deductive closure of is its smallest superset that is deductively closed. The deductive closure of a theory is often denoted or . This is a special case of the more general mathematical concept of closure — in particular, the deductive closure of is exactly the closure of with respect to the operation of logical consequence. (Wikipedia).

Video thumbnail

Geometry - Ch. 2: Reasoning and Proofs (13 of 46) What is Deductive Reasoning?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is deductive reasoning. Sometime known as deductive logic or leading to a deductive conclusion. It is reasoning from one or more statements to reach a logical conclusion. And I will expla

From playlist GEOMETRY CH 2 PROOFS & REASONING

Video thumbnail

Teach Astronomy - Deduction

http://www.teachastronomy.com/ Deduction is a way of combining observations or statements made in science logically. Deduction provides a very strong way of connecting observations with a conclusion. Typically we start with premises and combine them to draw conclusions. For example, if

From playlist 01. Fundamentals of Science and Astronomy

Video thumbnail

Find and classify the discontinuity of the rational function

👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuos if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump discontinuity. A discontinuity is removable when the denomin

From playlist Holes and Asymptotes of Rational Functions

Video thumbnail

Deductive Reasoning

Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https

From playlist Geometry

Video thumbnail

Natural Deductive Logic: RULES #3 (=I, =E) - Logic

In this video on #Logic, we learn our last two rules for natural deductive proofs. We learn biconditional introduction and biconditional elimination. Then we do a few example proofs. #PropositionalLogic #LogicProofs 0:00 [Rule: Biconditional Introduction] 1:47 [Rule: Biconditional Elimin

From playlist Logic in Philosophy and Mathematics

Video thumbnail

Foundations S2 - Seminar 1 - Ax-Grothendieck and model theory

A seminar series on the foundations of mathematics, by Will Troiani and Billy Snikkers. This season the focus is on the proof of the Ax-Grothendieck theorem: an injective polynomial function from affine space (over the complex numbers) to itself is surjective. There is an interesting role

From playlist Foundations seminar

Video thumbnail

Two Exercises in Natural Deductive Logic: RULES #1 (R, &E, &I, MP, CP) - Logic

We do two more natural deductive proofs using the rules introduced in the last video. They are listed below. 0:00 [Intro] 0:31 [Question #1] 5:27 [Question #2] 9:45 [The Takeaway] Follow along in the Logic playlist: https://www.youtube.com/playlist?list=PLDDGPdw7e6AhsNuxXP3D-45Is96L8sdSG

From playlist Logic in Philosophy and Mathematics

Video thumbnail

Clojure Conj 2012 - Challenges for Logic Programming

Challenges for Logic Programming by: Steve Miner The core.logic library (a port of miniKANREN) has sparked an interest in logic programming among Clojure users. Back in the '80s, logic programming inspired the Japanese Fifth Generation Computer Systems Project, which was poised to leap pa

From playlist Clojure Conf 2012

Video thumbnail

Wolfram Physics III: Completion Procedures and Basic Quantum Mechanics"

Find more information about the summer school here: https://education.wolfram.com/summer/school Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-announcement Find the tools to build a universe: https:

From playlist Wolfram Summer Programs

Video thumbnail

03.6b - Logical Inferences with RDFS

Information Service Engineering 2021 Prof. Dr. Harald Sack Karlsruhe Institute of Technology Summer semester 2021 Lecture7: Knowledge Graphs - 2 3.6b Logical Inferences with RDFS - RDFS Semantics - Inferences with RDFS Playlist: https://www.youtube.com/playlist?list=PLNXdQl4kBgzuuZZkIT

From playlist ISE 2021 - Lecture 07, 02.06.2021

Video thumbnail

Intrusion Detection: Part 2

Fundamental concepts of intrusion detection are discussed. Various types of intrusion are analyzed. Password management is explained.

From playlist Network Security

Video thumbnail

Natural Deductive Logic - Universal and Existential Rules

In this video we introduce natural deductive proofs for predicate logic and cover existential introduction, existential elimination, universal introduction, and universal elimination, along with practice proofs. 0:00 [Universal Elimination and Existential Introduction] 2:30 [Universal Int

From playlist Logic in Philosophy and Mathematics

Video thumbnail

ServiceNow Ticketing Tool | Understanding Incident Management In ServiceNow | Edureka

This Edureka " ServiceNow Ticketing Tool " video will help you to get started with ServiceNow Ticketing Tool. This video mostly focuses on ServiceNow IT Service Management and Incident Management in particular. Subscribe to our channel to get video updates. Hit the subscribe button above.

From playlist ServiceNow Training

Video thumbnail

A Deductive Perspective Toward Equation Solving

In this video, we take a deductive perspective toward the process of equation solving. Thanks for watching! Comment below with questions, and make sure to like / subscribe! Instagram: https://www.instagram.com/braingainzofficial

From playlist Proofs

Video thumbnail

Lecture 8B: Logic Programming, Part 2

MIT 6.001 Structure and Interpretation of Computer Programs, Spring 2005 Instructor: Harold Abelson, Gerald Jay Sussman, Julie Sussman View the complete course: https://ocw.mit.edu/6-001S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE18841CABEA24090 Logic Programming, Part

From playlist MIT 6.001 Structure and Interpretation, 1986

Video thumbnail

Salma Kuhlmann: Real closed fields and models of Peano arithmetic

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist SPECIAL 7th European congress of Mathematics Berlin 2016.

Video thumbnail

Wolfram Physics Project: Working Session Nov. 9, 2021 [Implementing Metamathematical Processes]

This is a Wolfram Physics Project working session on metamathematics in the Wolfram Model. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/

From playlist Wolfram Physics Project Livestream Archive

Video thumbnail

Lecture 8B | MIT 6.001 Structure and Interpretation, 1986

Logic Programming, Part 2 Despite the copyright notice on the screen, this course is now offered under a Creative Commons license: BY-NC-SA. Details at http://ocw.mit.edu/terms Subtitles for this course are provided through the generous assistance of Henry Baker, Hoofar Pourzand, Hea

From playlist MIT 6.001 Structure and Interpretation, 1986

Video thumbnail

Open Source vs. Closed Source Software

In this video, you’ll learn more about the differences between open-source software and closed-source software. Visit https://edu.gcfglobal.org/en/basic-computer-skills/ for more technology, software, and computer tips. We hope you enjoy!

From playlist Technology Trends

Related pages

Propositional calculus | Logical consequence | Mathematical logic | Theory (mathematical logic) | Closure (mathematics) | Well-formed formula | Proposition | Deductive reasoning