Short and simple; for Sunday reflection, this recent tweet from Eric R. Weinstein:
"Unless you majored in math you have no idea whether you are good at math. That thing you weren't good at? Yeah, so, that wasn't really math."
...Links for math buffs and number-luvin' laymen
"Unless you majored in math you have no idea whether you are good at math. That thing you weren't good at? Yeah, so, that wasn't really math."
"The range of non-crackpot speculative ideas about fundamental physics that normally get much attention is unfortunately quite narrow. In this environment Penrose is a breath of fresh air, providing here a different point of view on several topics, backed by serious and detailed argument. In some ways this is a popular book, but in others it is something else, deserving the attention of experts in the subject. I can’t recommend it too highly to anyone with a serious interest in fundamental questions about physics."
"Three people check into a hotel room. The clerk says the bill is $30, so each guest pays $10. Later the clerk realizes the bill should only be $25. To rectify this, he gives the bellhop $5 to return to the guests. On the way to the room, the bellhop realizes that he cannot divide the money equally. As the guests didn't know the total of the revised bill, the bellhop decides to just give each guest $1 and keep $2 as a tip for himself. Each guest got $1 back, so now each guest only paid $9, bringing the total paid to $27. The bellhop has $2. And $27 + $2 = $29 so, if the guests originally handed over $30, what happened to the remaining $1?"
(via WikimediaCommons) |
“Of course, the circles get very small very quickly. As it turns out points of tangency of all these infinitely many circles with the number line have a quite unexpected property. The points of tangency are precisely the rational numbers in the interval between 0 and 1. No circle created by this process touches the number line at an irrational point, and every rational number is the point of tangency for some circle created in this manner.”
"...my dog was offered a preapproved Visa card with a five-digit credit limit sometime around 2005. (I subscribed to The New Yorker in his name, W. Buster Wheelan, and some credit card issuer obviously bought the list.) This would suggest that the credit markets were out of control. The subsequent real estate bust would not have been nearly as catastrophic if financial institutions had not been lending to dogs, literally and figuratively."[...makes me think, that since you as a consumer are given a FICO score, perhaps financial institutions ought be assigned FIDO scores ;-) ]
"In light of today's physics the entire universe has dissolved into pure mathematics. The cosmos is made of molecules, in turn made of atoms, in turn made of particles which in turn may be made of superstrings. On the pre-atomic level the basic particles and fields are not made of anything. They can be described only as pure mathematical structures. If a photon or quark or superstring isn't made of mathematics, pray tell me what it is made of?"