Circular reasoning (Latin: circulus in probando, "circle in proving"; also known as circular logic) is a logical fallacy in which the reasoner begins with what they are trying to end with. Circular reasoning is not a formal logical fallacy, but a pragmatic defect in an argument whereby the premises are just as much in need of proof or evidence as the conclusion, and as a consequence the argument fails to persuade. Other ways to express this are that there is no reason to accept the premises unless one already believes the conclusion, or that the premises provide no independent ground or evidence for the conclusion. Begging the question is closely related to circular reasoning, and in modern usage the two generally refer to the same thing. Circular reasoning is often of the form: "A is true because B is true; B is true because A is true." Circularity can be difficult to detect if it involves a longer chain of propositions. (Wikipedia).
This video teaches students how to write the inverse of a conditional statement. In particular, this video goes into detail about how to negate the hypothesis and conclusion of a conditional statement. In addition, the concepts of truth value, negating statements and logical equivalence ar
From playlist Geometry
This video lesson describes the equations that can be used to determine the speed, acceleration, and net force experienced by objects moving in circles. Five examples of the use of the equations are discussed. Give Mr. H 10 minutes of your time and you'll be a Circular Motion superstar.
From playlist Circular and Satellite Motion
Logic: The Structure of Reason
As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be
From playlist Logic & Philosophy of Mathematics
Powered by https://www.numerise.com/ Formulating a linear programming problem
From playlist Linear Programming - Decision Maths 1
Logical Reasoning: Become A Better Thinker
Logical thinking is also known as analytical reasoning, critical thinking or abstract thinking. It is an important trait, especially among developers in the software development industry. Without the logic, they would not understand how the software works, nor would they produce a clean co
From playlist Problem Solving
The spherical pendulum in the Hamiltonian formalism
We continue with the spherical pendulum animation and discuss the difference between the major analytical mechanics approaches. Who won? You decide.
From playlist Programming
How to use trigonometry values to solve a word problem - Learn math online
👉 Learn how to solve the word problems with trigonometry. Word problems involving angles, including but not limited to: bearings, angle of elevations and depressions, triangles problems etc are solved using trigonometry. To be able to solve these problems it is important that you have a gr
From playlist Evaluate Inverse Trigonometric Functions
Solving two step equations with a rational expression on one side
👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or) denominator are polynomials. To solve for a variable in a
From playlist Solve Two Step Equations with a Rational Fraction
Evaluating the composition of inverse functions
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis. We
From playlist Evaluate a Composition of Inverse Trigonometric Functions
The Apple, the Moon, and Universal Gravitation
This video lesson explains how Isaac Newton derived his argument that gravity was the force that holds the moon in orbit. The inverse square law is introduced and the idea of the universal nature of gravity is emphasized. You can find more information that supports this video on our web
From playlist Circular and Satellite Motion
Newton's Law of Universal Gravitation
This video lesson describes the Universal Gravitation equation and explains how to use it to solve a variety of problems. Includes four example problems. Give Mr. H 12 minutes and approach your next test or quiz with confidence. Link to Apple, the Moon, and Universal Gravitation video (r
From playlist Circular and Satellite Motion
Conrad Wasko - Changes in rainfall and flooding across Australia
Dr. Conrad Wasko (University of Melbourne) presents "Changes in rainfall and flooding across Australia", 24 June 2022.
From playlist Statistics Across Campuses
The Centripetal Force Requirement
This video tutorial explains what is meant by a centripetal force and why a centripetal force is required to sustain a circular motion. Numerous examples, illustrations, demonstrations, and animations assist in the explanations. Link to Velocity and Acceleration Video (referenced on Slide
From playlist Circular and Satellite Motion
Newtons Second Law and Circular Motion
This video lesson uses five example problems to demonstrate the use of a free-body diagram, Newton's second law, and circular motion equations to solve a problem related to an object moving in a circle. Mathematic of Circular Motion Video (referenced on Slide 2) can be found: https://you
From playlist Circular and Satellite Motion
Calculus 1: Max-Min Problems (10 of 30) Largest Cylinder that Fits in a Circular Cone
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the largest volume=?, cylinder that fits into a right circular cone where h=20cm and r=12cm. Next video in this series can be seen at: https://youtu.be/nbclHE0ho_I
From playlist CALCULUS 1 CH 8 MAX MIN PROBLEMS
Uniform Circular Motion: Crash Course Physics #7
Did you know that centrifugal force isn't really a thing? I mean, it's a thing, it's just not real. In fact, physicists call it a "Fictitious Force." Mind blown yet? To explore this idea further, this week Shini sits down with us to discuss centripetal force, centrifugal force, and a few o
From playlist Physics
Julius Sumner Miller: Lesson 11 - Centrifugal Force and Other Strange Matters
The name "centrifugal" force given to certain events is very often badly used. Consider a car going round a curve. A book lies on the seat beside you. You are the driver. You take a curve to the left - say. As you make the curve you see the book move radially out on the seat - movi
From playlist Julius Sumner Miller - Full Physics Laboratory Demonstrations
Circular Slide Rules: Faber Castell 8/10 + Sama & Etani Model 90
I take a look at a couple circular slide rules and discuss some pros and cons. There are a few errors: - The Gilson "binary" slide rules are thus named for having a scale of binary fractions (denominators that are powers of 2), not for have the double, caliper-style cursor. - The A and B
From playlist All Slide Rule Videos
Evaluating the composition of Functions
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function, you first evaluate the one inside the parenthesis. We
From playlist Evaluate a Composition of Inverse Trigonometric Functions