A Devil’s Distinction

http://commons.wikimedia.org/wiki/Category:The_Expression_of_the_Emotions_in_Man_and_Animals

Terror and horror, from Darwin’s The Expression of the Emotions in Man and Animals.

Ann Radcliffe wrote: “Terror and horror are so far opposite, that the first expands the soul, and awakens the faculties to a high degree of life; the other contracts, freezes, and nearly annihilates them.”

Or, in Devendra Varma’s words, “The difference between Terror and Horror is the difference … between the smell of death and stumbling against a corpse.”

“I Say”

A gentleman who was in the habit of interlarding his discourse with the expression ‘I say,’ having been informed by a friend that a certain individual had made some ill-natured remarks upon this peculiarity, took the opportunity of addressing him in the following amusing style of rebuke:–‘I say, sir, I hear say you say I say “I say” at every word I say. Now, sir, although I know I say “I say” at every word I say, still I say, sir, it is not for you to say I say “I say” at every word I say.’

— Charles Carroll Bombaugh, Gleanings for the Curious from the Harvest-Fields of Literature, 1890

Trivium

What’s the most remote capital city in the world?

It’s a tie: Canberra, Australia, and Wellington, New Zealand, are 1,448 miles … from each other.

“Note How Your Friend Laughs”

It is a well known and easily demonstrated scientific fact that different people sound different vowels when laughing, from which fact a close observer has drawn the following conclusions: People who laugh in A (pronounced as ah) are frank, honest, and fond of noise and excitement, though they are often of a versatile and fickle disposition. Laughter in E (pronounced as ay) is peculiar to phlegmatic and melancholy persons. Those who laugh in I (pronounced as ee) are children or simple-minded, obliging, affectionate, timid, and undecided people. To laugh in O indicates generosity and daring. Avoid if possible all those who laugh in U, as they are wholly devoid of principle.

— Henry Williams, A Book of Curious Facts, 1903

A Novel Proof

hayes trapezoid

We’ve had some pretty smart presidents. James Garfield devised this proof of the Pythagorean theorem in 1876, while serving in the House of Representatives:

The area of the trapezoid above is

hayes trapezoid area

The area of each green triangle is

hayes small triangles

And the yellow triangle is

hayes large triangle

So:

hayes algebra

The Voting Paradox

Suppose we hold an election with three candidates, X, Y, and Z. And suppose the voters fall into three groups:

Group 1 prefers, in order, X, Y, Z
Group 2 prefers, in order, Y, Z, X
Group 3 prefers, in order, Z, X, Y

Now, if Candidate X wins, his opponents can rightly object that a majority of voters would have preferred Candidate Z. And corresponding arguments can be made against the other candidates. So even though we’ve held a fair election, it’s impossible to establish majority rule.

The Marquis de Condorcet noted this oddity in the 1700s; it’s sometimes known as Condorcet’s paradox.

Plying the Blue

Phantom ships, as they have been called, have repeatedly been seen by various observers. Mr. Scoresby, in his voyage to Greenland, in 1822, saw an inverted image of a ship in the air, so well defined that he could distinguish by a telescope every sail, the peculiar rig of the ship, and its whole general character, insomuch that he confidently pronounced it to be his father’s ship, the Fame, which it afterwards proved to be.

— Charles Kingsley, The Boys’ and Girls’ Book of Science, 1881

See also The Wizard of Mauritius.