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.
The Breitbart chief and Trump campaign CEO’s sexist bullying was evident in the early days of Biosphere 2 in Arizona, then a quasi “space colonization” and environmental research project. Stephen K. Bannon, who recently took a leave from running Breitbart.com to become Donald Trump’s chief campaign executive, once bullied women in the historic environmental research […]
Jesse Singal requested this shoop, and I delivered. After all, who’s downloading pirated papers? Everyone. (I’ve uploaded this to Redbubble if you’d like a poster—of course, you can just as well pirate it.)
Hydraulic Press Channel shows why carbon fiber and variants like carbon nanotubes have so many uses: depending on the configuration, they can hold up against the hydraulic press.
Finding quality icons is a challenge for designers, and can also get pretty costly if you use them often. And when you’ve got a lot to do, the last thing you want to spend your time on is creating new icons from scratch That’s why we recommend using the Noun Project ($49). Noun Project is a site […]
While Netflix and Hulu have seemingly dominated the streaming market with their limited selections, we’ve looked a little outside the box and found something pretty great as an alternative. SelectTV combines all the content of cable with the convenience of streaming, and it’s affordable too.SelectTV is an online subscription service that packs an impressive library of over […]
These days, the vape market is saturated with low-quality products, making it nearly impossible to separate the gems from the duds. The Atmos Rx Dry Herb Vaporizer stands out from crowd for two reasons: its impressive battery life and durable construction. This high-end little gadget is compact enough to fit in your pocket, and packs a powerful punch, […]