Misc

  • There’s no “u” in solipsism.
  • Wagner said the saxophone “sounds like the word Reckankreuzungsklankewerkzeuge.”
  • FDR was related by blood or marriage to 11 other presidents.
  • 3909511 = 53 + 59 + 50 + 59 + 55 + 51 + 51
  • “If you can’t stand the heat, stay out of the chicken.” — Ted Giannoulas, San Diego Chicken

(Thanks, Eric.)

Fashion Victim

http://commons.wikimedia.org/wiki/File:1835-Wiener-Zeitschrift-fashion-plate.png

Effects of lightning on Mrs. T.T. Boddington, struck as her post-chariot departed Tenbury on April 13, 1832, as reported in the Lancet:

The … electric fluid … struck the umbrella she had in her hand; it was an old one made of cotton, and had lost the ferule that is usually placed at the end of the stick, so that there was no point to attract the spark. It was literally shivered to pieces, both the springs in the handle forced out, the wires that extended the whalebones broken, and the cotton covering rent into a thousand shreds. From the wires of the umbrella the fluid passed to the wire that was attached to the edge of her bonnet, the cotton thread that was twisted round that wire marking the place of entrance, over the left eye, by its being burnt off from that spot all round the right side, crossing the back of the head and down into the neck above the left shoulder. The hair that came in contact with it was also singed; it here made a hole through the handkerchief that was round the throat, and zigzagged along the skin of the neck to the steel busk of her stays, leaving a painful but not deep wound, and also affecting the hearing of the left ear. … There were marks of burning on the gown and petticoat above the steel; and the inside of the stays, and all the garments under the stays, were pierced by the passage of the fluid to her thighs, where it made wounds on both; but that on the left so deep, and so near the femoral artery, that the astonishment is, that she escaped with life;–even as it was, the hemorrhage was very great.

It also magnetized her corset:

http://books.google.com/books?id=fao-AAAAYAAJ&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false

“Both ends attract strongly the south pole of the needle, the upper part for some considerable way down; it then begins to lose power over the south pole, and the point of northern attraction is at about one third of the length of the busk from the bottom; so that by far the greatest portion of the whole has acquired southern attraction.”

Ranks and Files

From Ross Honsberger via Martin Gardner: Deal cards into any rectangular array:

2012-01-26-ranks-and-files-1

Put each row into numerical order:

ranks and files 2

Now put each column into numerical order:

ranks and files 3

Surprisingly, that last step hasn’t disturbed the preceding one — the rows are still in order. Why?

Future Perfect

http://commons.wikimedia.org/wiki/File:Friedrich_Adolf_Hornemann_Lesender_M%C3%B6nch.jpg

While browsing around the library one day, I notice an old dusty tome, quite large, entitled ‘Alvin I. Goldman.’ I take it from the shelf and start reading. In great detail, it describes my life as a little boy. It always gibes with my memory and sometimes even revives my memory of forgotten events. I realize that this purports to be a book of my life and I resolve to test it. Turning to the section with today’s date on it, I find the following entry for 2:36 p.m. ‘He discovers me on the shelf. He takes me down and starts reading me …’ I look at the clock and see that it is 3:03. It is quite plausible, I say to myself, that I found the book half an hour ago. I turn now to the entry for 3:03. It reads: ‘He is reading me. He is reading me. He is reading me.’ I continue looking at the book in this place, meanwhile thinking how remarkable the book is. The entry reads: ‘He continues to look at me, meanwhile thinking how remarkable I am.’

I decide to defeat the book by looking at a future entry. I turn to an entry 18 minutes hence. It says: ‘He is reading this sentence.’ Aha, I say to myself, all I need do is refrain from reading that sentence 18 minutes from now. I check the clock. To ensure that I won’t read that sentence, I close the book. My mind wanders; the book has revived a buried memory and I reminisce about it. I decide to reread the book and relive the experience. That’s safe, I tell myself, because it is an earlier part of the book. I read that passage and become lost in reverie and rekindled emotion. Time passes. Suddenly I start. Oh yes, I intended to refute the book. But what was the time of the listed action?, I ask myself. It was 3:19, wasn’t it? But it’s 3:21 now, which means I have already refuted the book. Let me check and make sure. I inspect the book at the entry for 3:17. Hmm, that seems to be the wrong place, for there it says I’m in a reverie. I skip a couple pages and suddenly my eyes alight on the sentence: ‘He is reading this sentence.’ But it’s an entry for 3:21, I notice! So I made a mistake. The action I had intended to refute was to occur at 3:21, not 3:19. I look at the clock, and it is still 3:21. I have not refuted the book after all.

— Alvin I. Goldman, “Actions, Predictions, and Books of Life,” American Philosophical Quarterly, 1968

Goldman’s point is not that determism is true, but that it could be. It’s possible to imagine a determined universe, even one in which your own actions are accurately predicted, that unfolds in a way that makes it appear quite similar to our own. “The fact that this imagined world is determined and contains predictions of acts, and yet resembles the real world very closely, suggests to me that the real world may also be determined,” Goldman writes. Might it?

Even Odds

A bag contains 16 billiard balls, some white and some black. You draw two balls at the same time. It is equally likely that the two will be the same color as different colors. What is the proportion of colors within the bag?

Click for Answer

Tempest-Tost

http://books.google.com/books?id=FWdNAAAAYAAJ&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false

As the hurricane of August 1915 approached Galveston, Texas, it encountered a buoy in the Gulf of Mexico.

Investigators later found the buoy nearly 10 miles west of its original location.

It weighed 21,000 pounds and had been anchored with a 6,500-pound sinker and 252 feet of chain weighing 3,250 pounds.

Hollis’ Paradox

http://commons.wikimedia.org/wiki/File:Through_the_Looking_Glass_Gentleman_dressed_in_paper.png

You are sharing a train compartment with two strangers, A and B. You and A each think of a positive integer and whisper it to B. B stands up and says, “This is my stop. You have each thought of a different number. Neither of you can deduce which number is bigger.” He leaves.

You and A regard one another across the compartment. You think, “He cannot have chosen 1, because then he would know immediately that my number is bigger. And he can apply the same reasoning to my number. So it’s certain that neither of us has chosen 1. But once we’ve established that, then it’s equally clear that neither of us can have chosen 2, for the same reason.”

It would seem that you can extend this line of reasoning to include any number you like — including 157, the number you picked. How can this be?

See The Necktie Paradox and Tug of War.