Aristotle's wheel paradox is a paradox or problem appearing in the Greek work Mechanica, traditionally attributed to Aristotle. It states as follows: A wheel is depicted in two-dimensional space as two circles. Its larger, outer circle is tangential to a horizontal surface (e.g. a road that it rolls on), while the smaller, inner one has the same center and is rigidly affixed to the larger. (The smaller circle could be the bead of a tire, the rim it is mounted upon, or the axle.) Assuming the larger circle rolls without slipping (or skidding) for one full revolution, the distances moved by both circles' circumferences are the same. The distance travelled by the larger circle is equal to its circumference, but for the smaller it is greater than its circumference, thereby creating a paradox. The paradox is not limited to wheels: other things depicted in two dimensions display the same behavior such as a roll of tape, or a typical round bottle or jar rolled on its side (the smaller circle would be the mouth or neck of the jar or bottle). In an alternative version of the problem, the smaller circle, rather than the larger one, is in contact with the horizontal surface. Examples include a typical train wheel, which has a flange, or a barbell straddling a bench. American educator and philosopher, , called these Case II versions of the paradox, and a similar, but unidentical, analysis applies. (Wikipedia).
The Paradox of Achilles and the Tortoise
SUPPORT CR on PATREON: http://bit.ly/2qBHcvf The Greek philosopher Zeno famously wrote a book of paradoxes 2,500 years ago that still continues to baffle scientists and philosophers today. One of his paradoxes, titled Achilles and the Tortoise, examines the idea of infinity in great philo
From playlist Concerning Everything
This Paradox Proves Motion is a Lie (Achilles and the Tortoise)
The Greek philosopher Zeno famously wrote a book of paradoxes 2,500 years ago that still continues to baffle scientists and philosophers today. One of his paradoxes, titled Achilles and the Tortoise, examines the idea of infinity in great philosophical complexity. Figuring out the answer t
From playlist Concerning Education
Gabriele Giannantoni explains the logic of Aristotle in the context of the history of logic in interview from 1990. These clips are from the Multimedia Encyclopedia of the Philosophical Sciences. The translation is my own. #Philosophy #Aristotle
From playlist Aristotle
The History of Logic: The Logic of Aristotle
A few clips of Gabriele Giannantoni explaining Aristotelian logic, the logic of Aristotle. These clips come from the Multimedia Encyclopedia of the Philosophical Sciences. More Short Videos: https://www.youtube.com/playlist?list=PLhP9EhPApKE8v8UVlc7JuuNHwvhkaOvzc Aristotle's Logic: https:
From playlist Logic & Philosophy of Mathematics
Aristotle's Wheel Paradox - To Infinity and Beyond
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From playlist Math
Mechanics and curves | Math History | NJ Wildberger
The laws of motion as set out by Newton built upon work of Oresme, Galileo and others on dynamics, and the relations between distance, velocity and acceleration in trajectories. With Newton's laws and the calculus, a whole new arena of practical and theoretical investigations opened up to
From playlist MathHistory: A course in the History of Mathematics
Umberto Bottazzini, The immense sea of the infinite - 10 aprile 2019
https://www.sns.it/it/evento/the-immense-sea-of-the-infinite Umberto Bottazzini (Università degli Studi di Milano) The immense sea of the infinite Abstract In a celebrated talk Hilbert stated that the infinite was nowhere to be found in the real, external world. Yet from time immemorial
From playlist Colloqui della Classe di Scienze
Wittgensteinian Problem of Meaning & Rules
A clip of James Conant discussing a philosophical problem about meaning and rule-following that was famously discussed by the later Wittgenstein and many others, including various interpreters of Wittgenstein (e.g. Kripke). Note, Wittgenstein himself does not endorse the radical skeptical
From playlist Wittgenstein
Teach Astronomy - Early Greek Ideas
http://www.teachastronomy.com/ The early Greek philosophers had none of the tools of modern science. They did not have the machines with which to probe the atom. They did not have telescopes. They didn't have modern technology of any kind, and yet with logic and mathematics they were ab
From playlist 02. Ancient Astronomy and Celestial Phenomena
Recognition: Theme and Meta-Theme in Northern Renaissance Art | Mitchell Merback
Mitchell Merback, Associate Professor, Johns Hopkins University http://arthist.jhu.edu/directory/bios/mitchell-merback/index.html October 23, 2012 Late medieval and Renaissance painters in northern Europe took pride in characterizing the forms of attention specific to the votive encounte
From playlist Historical Studies
Teach Astronomy - Heliocentric Cosmology
http://www.teachastronomy.com/ Living just after the time of Aristotle, Aristarchus boldly proposed the heliocentric cosmology. In the heliocentric model the sun is stationary at the center of the solar system, and the Earth and the other planets and the stars move in circular orbits arou
From playlist 03. Concepts and History of Astronomy and Physics
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
Professor Adrian Moore journeys through philosophical thought on infinity over the last two and a half thousand years. This comes from a BBC radio series. For a good introduction to the philosophy of mathematics, check out: https://www.youtube.com/watch?v=UhX1ouUjDHE 00:00 Horror of the I
From playlist Logic & Philosophy of Mathematics
For more 4K space, and more great History and Science than you'll ever watch, check out our sister network... https://www.magellantv.com/featured Explore the biggest question of all. How far do the stars stretch out into space? And what's beyond them? In modern times, we built giant teles
From playlist Cosmic Journeys: Season 1
Parmenides, Nothingness, & Zeno's Paradoxes
An introductory discussion of the Eleatic school, including Parmenides on the ultimate unchanging oneness of reality and some of the issues that arise regarding multiplicity and change (basically because such phenomena involve non-being, which is something that cannot itself be thought and
From playlist Aristotle
This is a clip on two paradoxes of time, one going back to Aristotle, the other involving a famous argument formulated by John McTaggart. Note, this is a re-upload. The clip comes from a program about time from a number of years back. The first speaker featured was Staffan Carlshamre. Mor
From playlist Shorter Clips & Videos - Philosophy Overdose
Amazing Science Toys/Gadgets 5
New Video 👉🏻 https://youtu.be/vobzuwvT2S8 Hi Everyone :) Welcome back! I get asked often: "Where did you get all this stuff?" My goal is to share the real magic of science and physics- and to this end I will update here (and in my store) suggestions on where to get some of these toys
From playlist Amazing Science Toys/Gadgets
Jaw-dropping Physics Toys/Gadgets 6
Hi Everyone :) Welcome back! I get asked often: "Where did you get all this stuff?" My goal is to share the real magic of science and physics- and to this end I will update here (and in my store) suggestions on where to get some of these toys, kinetic art pieces, and scientific curiositi
From playlist Jaw-dropping Physics Toys/Gadgets
Aristotle & Virtue Theory: Crash Course Philosophy #38
This week we explore the final ethical theory in this unit: Aristotle’s virtue theory. Hank explains the Golden Mean, and how it exists as the midpoint between vices of excess and deficiency. We’ll also discuss moral exemplars, and introduce the concept of “eudaimonia.” -- Produced in co
From playlist Philosophy