Turns out, math fans dig set theory for almost exactly the same reason that some Christian fundamentalists absolutely hate it — all that messy uncertainty, which is either an affront to the idea of intelligent design or really, really sexy and fascinating, depending on your outlook.
At Nautilus, which is currently hosting an entire issue on topic of uncertainty, math professor Ayalur Krishnan writes about an idea in set theory that he calls "The Deepest Uncertainty". This is the Continuum Hypothesis — an idea that, paradoxically, can be proven to be unprovable and proven to be something you can't disprove. (And, with that, I've just typed the word "proven" so many times that it has lost all meaning in my brain.)
The uncertainty surrounding the Continuum Hypothesis is unique and important because it is nested deep within the structure of mathematics itself. This raises profound issues concerning the philosophy of science and the axiomatic method. Mathematics has been shown to be “unreasonably effective” in describing the universe. So it is natural to wonder whether the uncertainties inherent to mathematics translate into inherent uncertainties about the way the universe functions. Is there a fundamental capriciousness to the basic laws of the universe? Is it possible that there are different universes where mathematical facts are rendered differently? Until the Continuum Hypothesis is resolved, one might be tempted to conclude that there are.
Read the full story, which explains what set theory and the Continuum Hypothesis actually are. I could that here, but then this link would end up being as long as the story it's trying to link you to. Ahhhh, set theory.
Scott Pruitt, the Trump administration’s top environmental official, privately met with the CEO of Dow Chemical just before reversing the EPA’s efforts to ban a widely used Dow pesticide. Multiple scientific studies showed chlorpyrifos can damage the brains of children. Today’s Associated Press story is a clear case for why the Environmental Protection Agency and […]
The YouTube channel HooplaKidzLab demonstrates some awesome science experiments you can try with your kids this summer. Here’s another video from the channel about how to make a robotic arm out of popsicle sticks:
Scientists discovered this new species of “glass frog” in Ecuador’s Amazon lowlands. Hyalinobatrachium yaku’s belly is so transparent that you can clearly see its kidneys, bladder, and beating heart. From Science News: Yaku means “water” in Kichwa, a language spoken in Ecuador and parts of Peru where H. yaku may also live. Glass frogs, like […]
Despite the upfront cost, electric toothbrushes are much better at removing plaque than those freebies from the dentist’s office. For those who struggle to fill the American Dental Association’s recommended two minutes of brushing time, or anyone with limited dexterity, a sonic toothbrush can give your oral care routine a boost.To keep your chops healthy […]
Learning a new language will give your resume an upgrade, sure, but it will also provide a huge cognitive boost for mental tasks outside of translation and conversation. Bilingual brains have been shown to be better at handling multiple concurrent tasks, and gaining fluency in a new tongue is an amazing way to improve memory, […]
If you struggle to get a good night’s rest, consider replacing your pillows before dropping hundreds on a new mattress. You can give your tired neck a break with a 2-pack of memory foam pillows, available now in the Boing Boing Store.Each of these pillows is stuffed with cooling polyurethane foam that molds to your […]