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fermatslibrary's profile
Fermat's Library
Fermat's Library
Fermat's Library
@fermatslibrary

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Fermat's Library

@fermatslibrary

A platform for illuminating academic papers. We publish an annotated paper every week. Our chrome extension for arXiv: https://fermatslibrary.com/librarian 

fermatslibrary.com
Joined September 2015

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    Fermat's Library‏ @fermatslibrary 21 Jun 2017
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    Aristotle's Wheel Paradox: this seems to imply that the two circumferences of different sized circles are equal. Can you guess the fallacy?pic.twitter.com/Ic0HlNgARc

    5:54 AM - 21 Jun 2017
    • 312 Retweets
    • 546 Likes
    • Mostafa__Atallah Alfa Romeo Bitconomist dushyant Cindy E Hauser TimE GabrielAnthony P. Kerrie Mengersen William John Holden
    65 replies 312 retweets 546 likes
      1. New conversation
      2. Fermat's Library‏ @fermatslibrary 22 Jun 2017
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        Replying to @fermatslibrary

        There is a 1:1 correspondence of points on the 2 circles. The fallacy lies in the assumption that it means the 2 curves must have = length.pic.twitter.com/hp4AL9unEY

        5 replies 33 retweets 128 likes
      3. (((K P Hart)))‏ @hartkp 22 Jun 2017
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        Replying to @fermatslibrary

        More to the point: the inner wheel is slipping.

        2 replies 0 retweets 6 likes
      4. 5 more replies
      1. New conversation
      2. Asadullah‏ @asadtrip 21 Jun 2017
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        Replying to @fermatslibrary

        Circumferential length ≠ Radial length

        1 reply 1 retweet 7 likes
      3. Asadullah‏ @asadtrip 21 Jun 2017
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        Replying to @asadtrip @fermatslibrary

        Aristotle's Wheel Paradox in Calvin & Hobbespic.twitter.com/jUsGFOhCHT

        0 replies 19 retweets 55 likes
      4. End of conversation
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      1. Stuart Geddes‏ @stuartg_1 21 Jun 2017
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        Replying to @fermatslibrary

        Not measuring circumference, It's measuring degrees which are equal for both!

        0 replies 3 retweets 17 likes
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      2. I’m a stranger, I’m a changer, and I’m danger‏ @xeno42alpha 21 Jun 2017
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        Replying to @fermatslibrary

        only one of the wheels rolls, the other one slips

        1 reply 0 retweets 51 likes
      3. Ian Watters‏ @lvngbth 21 Jun 2017
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        Replying to @xeno42alpha @fermatslibrary

        But imagine this is the outer & inner edge of a tyre (or marks on solid wheel!) - do tyres work like that?

        0 replies 0 retweets 1 like
      4. End of conversation
      1. New conversation
      2. Matthew McClure‏ @rwmedic906 21 Jun 2017
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        Replying to @fermatslibrary

        The inner circle rotates at a faster rate than the outer. Velocity is invers proportional to radius.

        1 reply 0 retweets 6 likes
      3. Hyland boy‏ @rosshyland4 21 Jun 2017
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        Replying to @rwmedic906 @fermatslibrary

        No - wrong way round outer circle rotates faster

        1 reply 0 retweets 9 likes
      4. 1 more reply

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