http://www.ted.com "I am a mathematician, and I would like to stand on your roof." That is how Ron Eglash greeted many African families he met while researching the fractal patterns hed noticed in villages across the continent.

TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world's leading thinkers and doers are invited to give the talk of their lives in 18 minutes -- including speakers such as Jill Bolte Taylor, Sir Ken Robinson, Hans Rosling, Al Gore and Arthur Benjamin. TED stands for Technology, Entertainment, and Design, and TEDTalks cover these topics as well as science, business, politics and the arts. Watch the Top 10 TEDTalks on TED.com, at
http://www.ted.com/index.php/talks/top10

Paul Andersen explains how populations eventually reach a carrying capacity in logistic growth. He begins with a brief discussion of population size ( N ), growth rate ( r ) and exponential growth. He then explains how density dependent limiting factors eventually decrease the growth rate until a population reaches a carrying capacity ( K ). A mathematical simulation of this process is included along with a brief discussion of r and K selected species.

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"File:Stress-coloured Brookesia Desperata Female with Two Recently Laid Eggs.png." Wikipedia, the Free Encyclopedia. Accessed April 19, 2013. http://en.wikipedia.org/wiki/F....ile:Stress-coloured_
Nevit. English: White Rabbit, 2011. Own work. https://commons.wikimedia.org/....wiki/File:Rabbit_nev

According to our best theories of physics, the fundamental building blocks of matter are not particles, but continuous fluid-like substances known as 'quantum fields'. David Tong explains what we know about these fields, and how they fit into our understanding of the Universe.
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David Tong is a professor of theoretical physics at Cambridge University, specialising in quantum field theory.

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Not everything that is true can be proven. This discovery transformed infinity, changed the course of a world war and led to the modern computer. This video is sponsored by Brilliant. The first 200 people to sign up via https://brilliant.org/veritasium get 20% off a yearly subscription.

Special thanks to Prof. Asaf Karagila for consultation on set theory and specific rewrites, to Prof. Alex Kontorovich for reviews of earlier drafts, Prof. Toby ‘Qubit’ Cubitt for the help with the spectral gap, to Henry Reich for the helpful feedback and comments on the video.

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References:

Dunham, W. (2013, July). A Note on the Origin of the Twin Prime Conjecture. In Notices of the International Congress of Chinese Mathematicians (Vol. 1, No. 1, pp. 63-65). International Press of Boston. — https://ve42.co/Dunham2013

Conway, J. (1970). The game of life. Scientific American, 223(4), 4. — https://ve42.co/Conway1970

Churchill, A., Biderman, S., Herrick, A. (2019). Magic: The Gathering is Turing Complete. ArXiv. — https://ve42.co/Churchill2019

Gaifman, H. (2006). Naming and Diagonalization, from Cantor to Godel to Kleene. Logic Journal of the IGPL, 14(5), 709-728. — https://ve42.co/Gaifman2006

Lénárt, I. (2010). Gauss, Bolyai, Lobachevsky–in General Education?(Hyperbolic Geometry as Part of the Mathematics Curriculum). In Proceedings of Bridges 2010: Mathematics, Music, Art, Architecture, Culture (pp. 223-230). Tessellations Publishing. — https://ve42.co/Lnrt2010

Attribution of Poincare’s quote, The Mathematical Intelligencer, vol. 13, no. 1, Winter 1991. — https://ve42.co/Poincare

Irvine, A. D., & Deutsch, H. (1995). Russell’s paradox. — https://ve42.co/Irvine1995

Gödel, K. (1992). On formally undecidable propositions of Principia Mathematica and related systems. Courier Corporation. — https://ve42.co/Godel1931

Russell, B., & Whitehead, A. (1973). Principia Mathematica [PM], vol I, 1910, vol. II, 1912, vol III, 1913, vol. I, 1925, vol II & III, 1927, Paperback Edition to* 56. Cambridge UP. — https://ve42.co/Russel1910

Gödel, K. (1986). Kurt Gödel: Collected Works: Volume I: Publications 1929-1936 (Vol. 1). Oxford University Press, USA. — https://ve42.co/Godel1986

Cubitt, T. S., Perez-Garcia, D., & Wolf, M. M. (2015). Undecidability of the spectral gap. Nature, 528(7581), 207-211. — https://ve42.co/Cubitt2015

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Written by Derek Muller, Adam Becker and Jonny Hyman
Animation by Fabio Albertelli, Jakub Misiek, Iván Tello and Jonny Hyman
Math City Animation by Another Angle 3D Visuals (www.anotherangle.ee)
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This edition of #JournalistsHangout discusses the abduction of students in Kebbi state and other security challenges.

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Yvan Sagnet from Cameroon is battling modern slavery in Italy's agricultural sector. Sagnet once worked as a low-wage farmhand. Now he is fighting for the rights of seasonal farmworkers, taking criminal recruiters, or gangmasters, to court.

Yvan Sagnet calls them slaves: the hundreds of thousands of seasonal farmworkers from Africa and eastern Europe on Italy's fields. Without their labor the country would have no tomato, orange or olive harvest. But the workers are exploited and often forced to live under inhumane conditions in ruins or shanty towns called ghettos. In 2011 Sagnet himself briefly picked tomatoes on the fields near the southern Italian town of Nardò. For four days he labored to fill the 350-kilogram crates. He earned 14 euros a day, ten of which he had to hand over to the gangmaster, or Caporale, for transport and water. Caporale is the term for the criminal recruiters who control and exploit the workers. After a 14-hour day working under the blazing sun and even being beaten, Sagnet took home only four euros. He helped to organize the first strike among the farmhands. It was a success, and since then he has been an activist for the rights of the farmworkers and against the gangmasters. Despite death threats, he has set up an organization called NoCap, a label to certify produce farmed under ethically acceptable conditions. And he has taken his fight against exploitation and slavery to the courts. So far, the Italian justice system has responded slowly. It's a fight that will take a long time to win.

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