What is Zeno’s Dichotomy Paradox?  Colm Kelleher

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Can you ever travel from one place to another? Ancient Greek philosopher Zeno of Elea gave a convincing argument that all motion is impossible  but where's the flaw in his logic? Colm Kelleher illustrates how to resolve Zeno's Dichotomy Paradox.
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Candy Kugel
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Colm Kelleher
Educator
Marilyn Kraemer
Producer
Rick Broas
Animator
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Learn more about Colm Kelleher here.
Mathematical and logical paradoxes are a fascinating and important subject  and they’re not all as easily resolved as Zeno’s! It takes a few minutes to get there, but here’s a great explanation of (arguably) the most famous paradox in all of math and all the craziness it led to.
Infinite elephants, infinite camels, and more!
The video used a clever way of cutting up a square to prove a seemingly difficult math identity. In fact, it’s often possible to use diagrams to help you “see” why a particular theorem or identity is true (Of course it’s still necessary to be able to write down the algebra!). For instance, check out all the different ways of graphically representing the proof of the Pythagorean theorem.
Other Lessons by Colm:
People love eating pizza, but every style of pie has a different consistency. If "New Yorkstyle"thin, flat, and largeis your texture of choice, then you've probably eaten a slice that was as messy as it was delicious. Colm Kelleher outlines the scientific and mathematical properties that make folding a slice the long way the best alternative...to wearing a bib.
Have you ever wondered what color is? In this first installment of a series on light, Colm Kelleher describes the physics behind colors why the colors we see are related to the period of motion and the frequency of waves.
There are three types of color receptors in your eye: red, green and blue. But how do we see the amazing kaleidoscope of other colors that make up our world? Colm Kelleher explains how humans can see everything from auburn to aquamarine.
Can we accurately describe light as exclusively a wave or just a particle? Are the two mutually exclusive? In this third part of his series on light and color, Colm Kelleher discusses waveparticle duality and its relationship to how we see light and, therefore, color.
If so  or if not  how do you feel about the paradox and its resolution? Do you feel like the question is completely answered? Or is there more to it?
Create and share a new lesson based on this one.
About TEDEd Originals
TEDEd Original lessons feature the words and ideas of educators brought to life by professional animators. Are you an educator or animator interested in creating a TEDEd original? Nominate yourself here »
Meet The Creators
Candy Kugel
Director
Colm Kelleher
Educator
Marilyn Kraemer
Producer
Rick Broas
Animator