Methods of proof | Mathematical terminology
A counterexample is any exception to a generalization. In logic a counterexample disproves the generalization, and does so rigorously in the fields of mathematics and philosophy. For example, the fact that "John Smith is not a lazy student" is a counterexample to the generalization “students are lazy”, and both a counterexample to, and disproof of, the universal quantification “all students are lazy.” In mathematics, the term "counterexample" is also used (by a slight abuse) to refer to examples which illustrate the necessity of the full hypothesis of a theorem. This is most often done by considering a case where a part of the hypothesis is not satisfied and the conclusion of the theorem does not hold. (Wikipedia).
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From playlist Geometry
Disproving implications with Counterexamples
Counterexamples are one of the most powerful types of proof methods in math and philosophy. When you give a counterexample, you are demonstrating that some claim if false. For instance, if I say that every prime number is odd, I can disprove that claim by observing that 2 is a prime which
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Counter Steering | The interesting physics behind it
Counter steering is an amazing technique used by many bike riders, and is very useful when making a quick turn and doing some bike stunts like this. At first, counter steering looks counter intuitive, you turn the handlebars to the left, but the motorcycle makes a quick right turn. What ar
From playlist Automobile Engineering
Testing Syllogisms by Counterexample // Lesson 24 [INTRODUCTORY LOGIC]
Although it can feel like there are infinitely many kinds of categorical syllogisms, in fact there are only 256, and of those, only 40 are valid. So how can we confirm which ones are valid and which ones are invalid, especially if we're not already familiar with the terms of the argument?
From playlist Introductory Logic
What is counterbalancing? | Research Methods w/ Dr. Swan
This video is the video on demand (VOD) from my Twitch livestream. There are likely several edits for flow and topic. No facecam or overlays from stream appear in this video. Video contains only Microsoft OneNote information. Topic for this stream: I discuss how to counterbalance with-gro
From playlist Research Methods
What is an Injective Function? Definition and Explanation
An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez
From playlist Functions
Determining clockwise vs counter clockwise rotations
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
What is the difference between rotating clockwise and counter clockwise
👉 Learn how to rotate a figure and different points about a fixed point. Most often that point or rotation will be the original but it is important to understand that it does not always have to be at the origin. When rotating it is also important to understand the direction that you will
From playlist Transformations
6. Ch. 2, Sections 2.4 & 2.5. Introduction to Logic, Philosophy 10, UC San Diego - BSLIF
Video lecture corresponding to _Basic Sentential Logic and Informal Fallacies_, Chapter 2, Sections 2.4 & 2.5. 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
CA Algebra I: Simple Logical Arguments
14-20, simple logical reasoning
From playlist California Standards Test: Algebra I
Obstruction de Brauer-Manin pour les surfaces (...) - Colliot-Thélène - Workshop 1 - CEB T2 2019
Jean-Louis Colliot-Thélène (Mathématiques, Université Paris-Sud) / 20.05.2019 Obstruction de Brauer-Manin pour les surfaces de Markoff C’est un problème difficile de décider quand une surface cubique affine a un point entier, et si les points entiers sont denses (en divers sens). Ghosh
From playlist 2019 - T2 - Reinventing rational points
Evaluating Arguments: Study Hall Writing Composition #9: ASU + Crash Course
How can we know if our argument for something is good? How can we know if someone else is presenting valuable information in their own argument? In evaluating the arguments of others, we’ll also get better at writing arguments ourselves. That’s what we’ll discuss today in Study Hall: Compo
From playlist Study Hall: Composition
The Riemann Hypothesis is one of the Millennium Prize Problems and has something to do with primes. What's that all about? Rather than another hand-wavy explanation, I've tried to put in some details here. Some grown-up maths follows. More information: http://www.claymath.org/publications
From playlist My Maths Videos
Definition of an Injective Function and Sample Proof
We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil
From playlist Injective, Surjective, and Bijective Functions
CA Geometry: Similar triangles 1 | Worked examples | Geometry | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/geometry-home/geometry-miscellaneous/geometry-worked-examples/v/ca-geometry-similar-triangles-1 10-14, similar triangles Watch the next lesson: https://www.khanac
From playlist Worked examples | Geometry | Khan Academy
I introduce the basic Properties of Real Numbers: Commutative Property of Addition and Multiplication, Associative Property of Addition and Multiplication, Identity Property of Multiplication, Identity Property of Addition, Zero Product Property, and Multiplying by Negative One. I also d
From playlist Algebra 1
http://www.mekanizmalar.com This video show the working principles of a odometer in two dimension by using Geneva Drive. Actual odometer work somewhat similar fashion but it is hard to describe it in 2D animation.
From playlist Indexing
How to Debug a Property Proving Counterexample
Property proving with Simulink Design Verifier™ is a static analysis technique that uses formal methods to prove whether a given property will always be valid. This technique can help you formally verify that specific requirements implemented in your design will always be met. If a propert
From playlist Embedded Systems | Developer Tech Showcase