Theorems in propositional logic | Rules of inference | Classical logic
In propositional logic, double negation is the theorem that states that "If a statement is true, then it is not the case that the statement is not true." This is expressed by saying that a proposition A is logically equivalent to not (not-A), or by the formula A β‘ ~(~A) where the sign β‘ expresses logical equivalence and the sign ~ expresses negation. Like the law of the excluded middle, this principle is considered to be a law of thought in classical logic, but it is disallowed by intuitionistic logic. The principle was stated as a theorem of propositional logic by Russell and Whitehead in Principia Mathematica as: "This is the principle of double negation, i.e. a proposition is equivalent of the falsehood of its negation." (Wikipedia).
Solving an equation with distributive property on both sides
π Learn how to solve multi-step equations with parenthesis and variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To
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Solving an equation with a variable on both sides infinite solutions
π Learn how to solve multi-step equations with parenthesis and variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To
From playlist Solve Multi-Step Equations......Help!
Solving a multi-step equation by multiplying by the denominator
π Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist How to Solve Multi Step Equations with Variables on Both Sides
Solving a multi step equation with distributive property on both sides
π Learn how to solve multi-step equations with parenthesis and variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To
From playlist How to Solve Multi Step Equations with Parenthesis on Both Sides
How to solve a multi step equation with a variable on both sides
π Learn how to solve multi-step equations with parenthesis and variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To
From playlist How to Solve Multi Step Equations with Parenthesis on Both Sides
Solving a multi step equation using distributive property
π Learn how to solve multi-step equations with parenthesis and variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To
From playlist How to Solve Multi Step Equations with Parenthesis on Both Sides
Applying distributive property with a negative one to solve the multi step equation
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-step equation with parenthes
From playlist How to Solve Multi Step Equations with Parenthesis
Solving a multi step equation using distributive property one solution
π Learn how to solve multi-step equations with parenthesis and variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To
From playlist How to Solve Multi Step Equations with Parenthesis on Both Sides
Simplify Statements Using Logically Equivalent Statements
This video explains how to simplify given statements using logically equivalent statements. mathspower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
Introduction to Logically Equivalent Statements
This video introduces logically equivalent statements and defines De Morgan's laws, implications are disjunctions, double negation, and negation of an implication. mathispower4u.com
From playlist Symbolic Logic and Proofs (Discrete Math)
This is a follow up to https://youtu.be/lDhKE2SKF08. In this video we zoom in on Negation and also discuss models such as the 3-valued one for intuitionistic propositional logic. The script I'm using you can find here: https://gist.github.com/Nikolaj-K/1478e66ccc9b7ac2ea565e743c904555
From playlist Logic
10.Ch. 4, Sections 4.1-4.5. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF
Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 4, Sections 4.1 through 4.5. This is for the class Introduction to Logic, Philosophy 10, UC San Diego.
From playlist UC San Diego: PHIL 10 - Introduction to Logic | CosmoLearning.org Philosophy
Solving an equation with variables on both side and one solution
π Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist Solve Multi-Step Equations......Help!
Discrete Math - 1.3.3 Constructing New Logical Equivalences
We use known logical equivalences to prove new logical equivalences providing reasoning for each step. 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)
Category theory for JavaScript programmers #26: continuation passing monad
http://jscategory.wordpress.com/source-code/
From playlist Category theory for JavaScript programmers
Boolean Algebra 3 β De Morganβs Theorem
This video follows on from the one about simplifying complex Boolean expressions using the laws of Boolean algebra. In particular this video covers De Morganβs theorem and how it can be applied, along with the other laws, to simplify complex Boolean expressions. It includes worked exampl
From playlist Boolean Algebra
Natural Deductive Logic: RULES #2 (vI, vE, DN, RAA) - Logic
In this video on #Logic, we learn four more rules for natural deductive proofs. We learn disjunction introduction, disjunction elimination, double negation, and reductio ad absurdum (negation introductions, or proof by contradiction). Then we do two example proofs. #PropositionalLogic #Lo
From playlist Logic in Philosophy and Mathematics
Year 13/A2 Pure Chapter 0.2 (Subsets of Real Numbers, Representatives and Proof)
This video is the second of two preparatory lessons that introduce the second year A-Level (A2) content. The aim of this lesson is to provide a firm foundation of the underlying logic, principles and strategies required to fully understand the concept of mathematical proof. In particular,
From playlist Year 13/A2 Pure Mathematics
Logic 6 - Propositional Resolutions | Stanford CS221: AI (Autumn 2021)
For more information about Stanford's Artificial Intelligence professional and graduate programs visit: https://stanford.io/ai Associate Professor Percy Liang Associate Professor of Computer Science and Statistics (courtesy) https://profiles.stanford.edu/percy-liang Assistant Professor
From playlist Stanford CS221: Artificial Intelligence: Principles and Techniques | Autumn 2021
Solving an equation with infinite many solutions 2a+3=3+2a
π Learn how to solve multi-step equations with variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the solution. To solve a multi-s
From playlist How to Solve Multi Step Equations with Variables on Both Sides