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 amazing suckers on octopus arms aren’t just for sucking. They also are used to smell and taste. To deal with all that sensory input, the vast majority of an octopus’s brain cells are in its eight arms! “It’s more efficient to put the nervous cells in the arm,” neurobiologist Binyamin Hochner, of the Hebrew […]
Cold welding is the phenomenon of two pieces of metal fusing on contact. It’s a big problem in space, but it can even happen on earth at room temperatures with the right metal, as Cody demonstrates.
Magdalena Cerdá and Garen Wintemute are epidemiological researchers with US Davis’s Violence Prevention Research Program; when they witnessed the Trump administration’s mass-deletion of publicly funded EPA research, they feared gun violence stats would be next.
Python is immensely popular in the data science world for the same reason it is in most other areas of computing—it has highly readable syntax and is suitable for anything from short scripts to massive web services. One of its most exciting, newest applications, however, is in machine learning. You can dive into this booming […]
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Instead of throwing out all the empties after your next party, why not transform them into some new DIY glassware? Cut back on waste and add some home ambiance with the Kinkajou Bottle Cutter and Candle Making Kit.The Kinkajou is designed as a clamp-on scoring blade to make precise cuts. Just slide a bottle in, tighten […]