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.
Can you “hear” motion or light flashes? If so, according to new research from City University London, you may be experiencing a not-so-rare form of synaesthesia. Synesthesia is the fascinating neurological phenomenon whereby stimulation of one sense involuntarily triggers another sensory pathway. For example, a synesthete might taste sounds or hear colors. (In this study, […]
Scientists declared the ruby seadragon a new species in 2015, but that was based on dead specimens in a museum. Now though, Scripps Institution of Oceanography biologist Greg Rouse who led the team that originally discovered the species, managed to find two of the wonderful fish swimming around the Recherche Archipelago, off the south coast […]
Scientific American summarized five of Donald Trump’s “major moves many see as hostile toward science.” They are: • Trump’s pick for head of the U.S. Environmental Protection Agency has actively battled its mission “To lead the EPA, Trump appointed Scott Pruitt, the Oklahoma attorney general who has long opposed environmental regulations and has questioned the science […]
Looking to upgrade your weekend? Here are three randomly awesome products on my mind this week.#3 FRESHeBUDS Pro Magnetic Bluetooth EarbudsAs more and more phones and gadgets switch to Bluetooth-only compatibility, you’ll need to get Bluetooth headphones like the rest of us. I’ve been super impressed with these affordable magnetic headphones. Pull the magnetic earbuds apart to auto-connect […]
Traditional folding wallets are designed for paper bills—but these days, carrying cash is rarely a necessity. More often than not, I don’t carry cash at all. This Bogui Clik Wallet is the best answer I’ve found for avoiding the hassle of those tight-fitting credit card pockets.This attractive, minimalist wallet features a protective lip, so my cards don’t […]
Using my iPhone while it’s charging is always a hassle. With tucked-away outlets and the meager length of included lightning cables, comfortable scrolling while plugged in is annoying. These 10-Ft MFi-Certified Lightning Cables are super convenient and probably the best iPhone accessory purchase I’ve made.At over three times the length of normal cables, these reach anywhere you […]