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What Conway wanted to know is whether his knot can be formed by cutting a slice out of a more complex four-dimensional knot – or, as mathematicians put it, is it “slice”?
Piccirillo discovered that it isn’t. Her breakthrough came after finding a back door into the problem that could help mathematicians understand other four-dimensional objects.
The Gordian Knot is a legend of Phrygian Gordium associated with Alexander the Great. It is often used as a metaphor for an intractable problem (untying an impossibly tangled knot) solved easily by finding an approach to the problem that renders the perceived constraints of the problem moot ("cutting the Gordian knot")
A peasant farmer named Gordias drove into town on an ox-cart and was immediately declared king. Out of gratitude, his son Midas dedicated the ox-cart to the Phrygian god Sabazios (whom the Greeks identified with Zeus) and tied it to a post with an intricate knot of cornel bark (Cornus mas). The knot was later described by Roman historian Quintus Curtius Rufus as comprising "several knots all so tightly entangled that it was impossible to see how they were fastened".
An oracle had declared that any man who could unravel its elaborate knots was destined to become ruler of all of Asia. Alexander wanted to untie the knot but struggled to do so without success. He then reasoned that it would make no difference how the knot was loosed, so he drew his sword and sliced it in half with a single stroke.
The knot may have been a religious knot-cipher guarded by Gordian/Midas' priests and priestesses. Robert Graves suggested that it may have symbolised the ineffable name of Dionysus that, knotted like a cipher, would have been passed on through generations of priests and revealed only to the kings of Phrygia.
originally posted by: nisei
originally posted by: queenofswords
a reply to: nisei
As far as I can tell I don't even dream.
Question. When you close your eyes, can you envision images?
There is a condition known as "aphantasia" where one cannot visualize images voluntarily.
In other words, if I tell someone with aphantasia to envision a green meadow with brown cows happily grazing, they are not able to visualize it. They don't dream in visual images either.
Yes I am not able to envision images. I feel as though I more so feel the image. My wife says she knows I dream some times because I talk in my sleep, but I definitely have no recolection of the dreams or know I dream. I used to though. I remember flying and jumping buildings. I also remember many nightmares as a kid. Nowadays I dont remember anything.
Does this mean I am SOL on making things manifest because I can not envision things?
originally posted by: carewemust
James Comey blowing off Durham: www.washingtontimes.com...
Comey was already referred to AG Barr for prosecution, by I.G. Horowitz. No need to interview him. Right?
originally posted by: carewemust
James Comey blowing off Durham: www.washingtontimes.com...
Comey was already referred to AG Barr for prosecution, by I.G. Horowitz. No need to interview him. Right?
👏🤦♂️
But Mr. Comey hasn’t spoken to Mr. Durham and said he “can’t imagine” that he is a target in the investigation.
The greatest Election Fraud in our history is about to happen. This may top the Democrats illegally spying on my campaign! t.co...
This week, millions of Americans will face the devastating effects of the kinds of fires and hurricanes climate change has made both more likely and more severe. This fall, vote for action to combat one of the gravest threats we face to our way of life—not someday, but now.