Mathematical fallacies | Theorems

List of incomplete proofs

This page lists notable examples of incomplete published mathematical proofs. Most of these were accepted as correct for several years but later discovered to contain gaps. There are both examples where a complete proof was later found and where the alleged result turned out to be false. (Wikipedia).

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Methods of Proof | A-level Mathematics

The four main types of proof you need to be familiar with in A-level mathematics: - proof by deduction - proof by exhaustion - proof by counter-example - proof by contradiction ❤️ ❤️ ❤️ Support the channel ❤️ ❤️ ❤️ https://www.youtube.com/channel/UCf89Gd0FuNUdWv8FlSS7lqQ/join 100 g

From playlist A-level Mathematics Revision

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DIRECT PROOFS - DISCRETE MATHEMATICS

We introduce proofs by looking at the most basic type of proof, a direct proof. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete M

From playlist Discrete Math 1

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Examples of Proof by Contradiction -- How to do Mathematical Proofs (PART 7)

This is the fifth video on a series of videos on: How to do mathematical proofs. The course is structured in such a way to make the transition from applied-style problems in mathematics (sometimes referred to as engineering mathematics) to pure mathematics much smoother. The course will

From playlist How to do Mathematical Proofs

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Introduction to Indirect Proof

This video introduces indirect proof and proves one basic algebraic and one basic geometric indirect proof. Complete Video List: http://mathispower4u.yolasite.com/

From playlist Relationships with Triangles

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Every Subset of a Linearly Independent Set is also Linearly Independent Proof

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys A proof that every subset of a linearly independent set is also linearly independent.

From playlist Proofs

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Geometry: Ch 5 - Proofs in Geometry (5 of 58) How to Proof Proofs

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is and how to proof proofs in geometry. Next video in this series can be seen at: https://youtu.be/xuWliQ6CHpw

From playlist GEOMETRY 5 - PROOFS IN GEOMETRY

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Year 13/A2 Pure Chapter 0.3 (Subsets of Real Numbers, Representatives and Proof)

This is the final introductory video for the Year 13 Pure section of the A-Level maths course for Edexcel, and this roughly follows the textbook for Chapter 1A of the pure text. The idea here was to introduce 0.1 and 0.2 as a comprehensive foundation for chapter 1A of the book. This less

From playlist Year 13/A2 Pure Mathematics

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1 is the Largest Positive Integer [Bogus Proofs]

Welcome to Bogus Proofs video series! This series consists of proofs with mathematical fallacies. Can you find the error in each proof? For a typed transcript of this proof check out our blog: https://centerofmathematics.blogspot.com/2018/12/bogus-proofs.html

From playlist Bogus Proofs

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Gödel's First Incompleteness Theorem, Proof Sketch

Kurt Gödel rocked the mathematical world with his incompleteness theorems. With the halting problems, these proofs are made easy! Created by: Cory Chang Produced by: Vivian Liu Script Editor: Justin Chen Special thanks to Ryan O’Donnell, associate professor at Carnegie Mellon University

From playlist Infinity, and Beyond!

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Gödel's Second Incompleteness Theorem, Proof Sketch

In order for math to prove its own correctness, it would have to be incorrect. This result is Gödel’s second incompleteness theorem, and in this video, we provide a sketch of the proof. Created by: Cory Chang Produced by: Vivian Liu Script Editor: Justin Chen, Brandon Chen, Zachary Greenb

From playlist Infinity, and Beyond!

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Mathematical Notations -- How to do mathematical proofs (PART 2)

This video contains the preliminary mathematical notation that will be used in the course. This is preliminary video (part 0) on a series of videos: How to do mathematical proofs. The course is structured in such a way to make the transition from applied-style problems in mathematics (som

From playlist How to do Mathematical Proofs

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Kurt Gödel Centenary - Part I

Institute for Advanced Study November 17, 2006 Karl Sigmund (University of Vienna) Solomon Feferman (Stanford University) More videos on http://video.ias.edu

From playlist Kurt Gödel Centenary

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Zhizhang Xie: A relative index theorem for incomplete manifolds and Gromov’s conjectures on PSC

Talk by Zhizhang Xie in the Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/a-relative-index-theorem-for-incomplete-manifolds-and-gromovs-conjectures-on-positive-scalar-curvature/ on May 7, 2021.

From playlist Global Noncommutative Geometry Seminar (Americas)

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IMS Public Lecture - Can Every Mathematical Problem Be Solved?

Menachem Magidor, The Hebrew University of Jerusalem, Israel

From playlist Public Lectures

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Gödel's Incompleteness Theorem - Numberphile

Marcus du Sautoy discusses Gödel's Incompleteness Theorem More links & stuff in full description below ↓↓↓ Extra Footage Part One: https://youtu.be/mccoBBf0VDM Extra Footage Part Two: https://youtu.be/7DtzChPqUAw Professor du Sautoy is Simonyi Professor for the Public Understanding of Sc

From playlist Animations by Pete McPartlan

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Kurt Gödel Centenary - Part III

John W. Dawson, Jr. Pennsylvania State University November 17, 2006 More videos on http://video.ias.edu

From playlist Kurt Gödel Centenary

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What A General Diagonal Argument Looks Like (Category Theory)

Diagonal Arguments are a powerful tool in maths, and appear in several different fundamental results, like Cantor's original Diagonal argument proof (there exist uncountable sets, or "some infinities are bigger than other infinities"), Turing's Halting Problem, Gödel's incompleteness theor

From playlist Summer of Math Exposition 2 videos

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Gödel's Incompleteness (extra footage 1) - Numberphile

MAIN VIDEO: https://youtu.be/O4ndIDcDSGc More links & stuff in full description below ↓↓↓ Extra footage part 2: https://youtu.be/7DtzChPqUAw Professor Marcus du Sautoy is Simonyi Professor for the Public Understanding of Science and a Professor of Mathematics at the University of Oxford.

From playlist Marcus Du Sautoy on Numberphile

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