Propositional calculus | Rules of inference

Negation introduction

Negation introduction is a rule of inference, or transformation rule, in the field of propositional calculus. Negation introduction states that if a given antecedent implies both the consequent and its complement, then the antecedent is a contradiction. (Wikipedia).

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Determining the negation of a hypothesis and conclusion from a statement

👉 Learn how to find the negation of a statement. The negation of a statement is the opposite of the statement. It is the 'not' of a statement. If a statement is represented by p, then the negation is represented by ~p. For example, The statement "It is raining" has a negation of "It is not

From playlist Negation of a Statement

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A1 Introduction

An introduction to this first course in differential equations.

From playlist Differential Equations

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What is the negation of a statement and examples

👉 Learn how to find the negation of a statement. The negation of a statement is the opposite of the statement. It is the 'not' of a statement. If a statement is represented by p, then the negation is represented by ~p. For example, The statement "It is raining" has a negation of "It is not

From playlist Negation of a Statement

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Logic - Negation

An introduction to the logical process of negation

From playlist Geometry

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Simplify the Negation of Statements with Quantifiers and Predicates

This video provides two examples of how to determine simplified logically equivalent statements containing quantifiers and predicates. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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A01 Introduction to Physics ONE

Introduction to classical mechanics.

From playlist Physics ONE

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Sets -- Introduction to Higher Mathematics

This lecture is on Introduction to Higher Mathematics. For more see http://calculus123.com.

From playlist Proofs

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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

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[Syntax] Do Support and Negation

I introduce DO Support and Negation Phrases, which provide evidence of where do support comes into place in our trees. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW Like us on Facebook: http://on.fb.me/1vWwDRc

From playlist Syntax

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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

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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

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Foundations - Seminar 3

Billy Price and Will Troiani present a series of seminars on foundations of mathematics. In this seminar Billy continues to introduce natural deduction as a proof system, and proves soundness. You can join this seminar from anywhere, on any device, at https://www.metauni.org. This video

From playlist Foundations seminar

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Natural Deductive Proofs: THEOREMS - Logic

In this video on #Logic, we learn what theorems are in natural deductive proofs and prove four of them. 0:00 [What are theorems?] 0:59 [Proof #1: If P then P] 2:38 [Proof #2: P and not P] 4:33 [Proof #3: if P then not not P] 6:38 [Proof #4: P or not P] 9:27 [Theorem Introduction] If you

From playlist Logic in Philosophy and Mathematics

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Logic 4: Natural Deduction with Logical Axioms — Tutorial 4/4

In this four-part series we explore propositional logic, Karnaugh maps, implications and fallacies, predicate logic, existential and universal quantifiers and finally natural deduction. Become a member: https://youtube.com/Bisqwit/join My links: Twitter: https://twitter.com/RealBisqwit L

From playlist Logic Tutorial

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Natural Deductive Logic: DERIVABLE RULES (MT, HS, DS, DeM)

In this video on #Logic we do the proofs for modus tollens (MT), hypothetical syllogism (HS), disjunctive syllogism (DS) and one of the DeMorgan's Laws (DeM) so that we can use them as shortcuts in further proofs. 0:00 [Modus Tollens (MT)] 1:23 [Hypothetical Syllogism (HS)] 3:25 [Disjunct

From playlist Logic in Philosophy and Mathematics

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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

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8b. Ch. 3, Section 3.4. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF

Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 3, Section 3.4. 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

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7. Ch. 3, Sections 3.1 & 3.2. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF

Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 3, Sections 3.1 & 3.2. 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

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Introduction to Proof by Counter Example

This video provides an introduction to the proof method of proof by counter example. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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Maths for Programmers: Logic (DeMorgan’s Laws)

We're busy people who learn to code, then practice by building projects for nonprofits. Learn Full-stack JavaScript, build a portfolio, and get great references with our open source community. Join our community at https://freecodecamp.com Follow us on twitter: https://twitter.com/freecod

From playlist Maths for Programmers

Related pages

Propositional calculus | Disjunctive syllogism | Rule of inference | Law of noncontradiction | Material implication (rule of inference)