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.
I learned that there are two forms of mimicry in nature — honest mimicry (e.g., bees and wasps look similar and advertise that they can sting) and dishonest mimicry (e.g., some flies look like bees and wasps to trick predators into thinking they can sting). Inés Dawson, a graduate and PhD student at the University […]
In 1960, parapsychologist Anthony Donald Cornell donned a bed sheet and attempted to scare an audience watching an X-rated film in a movie theater. Why? Cornell, a believer in ghosts himself, wanted to understand how people reacted during “apparitional experiences.” Today at the BBC, University of Oxford experimental psychologist Matthew Tompkins explores Cornell’s strange experiments […]
With so many costumes adorning this election season, you might think the Halloween get-ups are overkill. Think again, because David Ng and B.R. Cohen are here to present the official universal survey about your candy favorites for the 2016 hierarchical delineation of candy virtue.
TV antennas are making a comeback, and the Ghost Indoor HDTV antenna is a great example of why. Unlike the old bunny ear-style antennas, this compact antenna is barely noticeable and picks up channels easily. Plus with the addition of streaming services like Netflix, we find ourselves with plenty to watch without a pricey monthly cable bill. The Ghost […]
I’ve never really felt the need to purchase a smartwatch because a lot of them aren’t very functional, but at just shy of $30, the Martian Notifier Smartwatch was worth checking out. For that low of a price, it actually does feature an impressive amount of functionality, and comes in handy when you don’t want to be carrying around your […]
Geek Fuel is a subscription delivery service that caters to those of us that love comics, gaming, and general geek culture. Every month, Geek Fuel will assemble a box of goodies with a value of $50 or over. The specific items are a mystery, but you’ll always get an exclusive t-shirt not found anywhere else, a full […]