Logical expressions | Propositional calculus | Rules of inference

Rule of replacement

In logic, a rule of replacement is a transformation rule that may be applied to only a particular segment of an expression. A logical system may be constructed so that it uses either axioms, rules of inference, or both as transformation rules for logical expressions in the system. Whereas a rule of inference is always applied to a whole logical expression, a rule of replacement may be applied to only a particular segment. Within the context of a logical proof, logically equivalent expressions may replace each other. Rules of replacement are used in propositional logic to manipulate propositions. Common rules of replacement include de Morgan's laws, commutation, association, distribution, double negation, transposition, material implication, logical equivalence, exportation, and tautology. (Wikipedia).

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 1

Working through an example of substitution in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 6

Working through an example using substitution in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 9

Working through an example using substitution in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 5

Working through an example using the substitution rule in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 8

Working through an example using substitution in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 7

Working through an example using substitution in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 3

Working through an example using the reverse of the chain rule for integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule in Integration Part 2 Example 4

Working through and example using the reverse of the chain rule in integration.

From playlist Integration

Video thumbnail

Integration 8 The Substitution Rule for Integration Part 1

An explanation of the reverse of the chain rule in integration.

From playlist Integration

Video thumbnail

Live CEOing Ep 430: Language Design in Wolfram Language [Logic Programming]

In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and functionality to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wo

From playlist Behind the Scenes in Real-Life Software Design

Video thumbnail

Chapter 4.4: The Multiplication Rule

Chapter 4.4 from "Introduction to Statistics, Think & Do" by Scott Stevens (http://www.StevensStats.com) Textbook from Publisher, $29.95 print, $9.95 PDF http://www.centerofmathematics.com/wwcomstore/index.php/thinkdov4-1.html Textbook from Amazon: https://amzn.to/2zJRCjL

From playlist Statistics Lecture Videos

Video thumbnail

Live CEOing Ep 605: Language Design in Wolfram Language [Multicomputation]

In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram

From playlist Behind the Scenes in Real-Life Software Design

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

Theory of Computation: Stack Machines

This video is for my Spring 2020 section of MA 342, for the class meeting on Tuesday March 17. Visit the class website for homework as usual! Fast forward music is from "Now Get Busy" by the Beastie Boys, licensed Creative Commons Noncommercial Sampling Plus.

From playlist Math 342 (Theory of Computation) Spring 2020

Video thumbnail

Math for Liberal Studies - Lecture 3.6.1 Substitution Ciphers

This is the first video lecture for Math for Liberal Studies Section 3.6: An Introduction to Cryptography. In this video, we discuss the general idea of encrypting and decrypting messages to keep unintended recipients from reading them. We then discuss some simple methods for doing this.

From playlist Math for Liberal Studies Lectures

Video thumbnail

Mathematica Tutorial 60 - Tools of Programming - Part 3

In this Mathematica tutorial you will learn about the tools of programming with Mathematica: Rule Delayed, Set Delayed, and Conditional Actions. For information on private tutoring, see the about section of my channel. *** SUBSCRIBE FOR MORE VIDEOS *** Never miss a video about Mathema

From playlist Mathematica Tutorials

Video thumbnail

Trig Substitution... How? (NancyPi)

MIT grad shows how to integrate using trigonometric substitution. To skip ahead: 1) For HOW TO KNOW WHICH trig substitution to use (sin, tan, or sec), skip to 0:18. 2) For how to do a SIN SUB and WHEN TO TRY TRIG SUB, skip to 1:29. 3) For a TAN SUB with the radical in the NUMERATOR, skip t

From playlist Calculus: Integration

Video thumbnail

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

Video thumbnail

Live CEOing Ep 580: Language Design in Wolfram Language [Multicomputation]

In this episode of Live CEOing, Stephen Wolfram discusses upcoming improvements and features to the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfram

From playlist Behind the Scenes in Real-Life Software Design

Video thumbnail

Calculus: Substitution Rule Examples

This is the second of two videos covering material from Briggs/Cochran Calculus, Section 5.5: The Substitution Rule. In this video, I work through several examples, showing the different ways that the substitution rule can be applied to evaluate integrals.

From playlist Calculus

Related pages

Axiom | Tautology (rule of inference) | Associative property | Intuitionistic logic | Commutative property | De Morgan's laws | Logical equivalence | Material implication (rule of inference) | Proposition | Exportation (logic) | Double negation | Transposition (logic) | Well-formed formula