In this blog, Laura discusses math, science, and technology along with the cultural role of scientists. Also there are a lot of funny links.
08 June 2013
open access
04 June 2013
Air Pollution Sampling
23 May 2013
the social process of the proof
This essay by journalist Caroline Chen describes the ABC conjecture and its story, including the fact that mathematician Shinichi Mochizuki posted a proof not quite a year ago, and the mathematical community has yet to confirm or even understand it.
Three years ago when the P ≠ NP conjecture was purportedly proven, I blogged about it and was excited for the social process of checking the proof. Unfortunately it was pretty quickly decided that there were large holes in the reasoning and it wasn't even a proof, though it did give some new ideas on how to solve the problem.
And then just last week, it was announced that Yitang Zhan proved the "bounded gaps" conjecture for prime numbers. The paper was submitted to the Annals of Mathematics in April, and was accepted 2 days ago, meaning that the proof has passed peer-review.
What will happen with the ABC conjecture? No one has found holes in Mochizuki's proof, but no one can understand it either. My favorite quote from Chen's essay:
"[In mathematics,] Colleagues check each other’s work, spending hours upon hours verifying that a peer got it right. This behavior is not just altruistic, but also necessary: unlike in medical science, where you know you’re right if the patient is cured, or in engineering, where the rocket either launches or it doesn’t, theoretical math, better known as 'pure' math, has no physical, visible standard. It is entirely based on logic. To know you’re right means you need someone else, preferably many other people, to walk in your footsteps and confirm that every step was made on solid ground."
17 May 2013
SF Bay Area Maker Faire
28 April 2013
13 April 2013
We got used to it.
I hope you enjoy this absolutely lovely video as much as I did this evening.
"For example, people used to believe ... people who lived in the antiquities would fall off. And that was scary. But then when somebody sailed round the world, and we all got used to it, and we travel around in jet planes and everything... We have no problem thinking that the earth is globular. None whatever. We got used to it."
I have faith in mankind, that someday we will get used to a lot of the scientific ideas that are controversial today. Pretty neat to think about it.
09 April 2013
Why you can't talk about how foxy-looking that lady is
Along the same lines, I got to that article from this one, which describes a study in which study participants decided between hypothetical male and female political candidates. The conclusion is that the more the media talks about the woman's looks, even in a positive or neutral way, her percentage of the vote drops pretty dramatically.