Archive for the 'Truthseeking' Category

From an Eternal Perspective

My favorite new blogger is the pseudonymous Sub Specie Æternitatis, who I discovered when he left a particularly thoughtful comment on the Fair and Balanced thread here at The Big Questions. A little Google-stalking later, I was immersed in his blog. Before much longer, I was in love with it.

Not only is Æternitatis a great writer; he’s also a gracious colleague who (after I introduced myself by email) agreed to let me reprint one of his incisive commentaries as a guest post here. So without further ado:

Al Gore’s Revealed Beliefs

A Guest Post

by

Sub Specie Æternitatis

It is reported that former Vice President Al Gore just purchased a villa in Montecito, California for $8.875 million. The exact address is not revealed, but Montecito is a relatively narrow strip bordering the Pacific Ocean. So its minimum elevation above sea level is 0 feet, while its overall elevation is variously reported at 50ft and 180ft.

At the same time, Mr. Gore prominently sponsors a campaign and award-winning movie that warns that, due to Global Warming, we can expect to see nearby ocean-front locations, such as San Francisco, largely under water. The elevation of San Francisco is variously reported at 52ft up to high of 925ft.

There being very little reason to suppose that the Pacific Ocean would (or could) rise much less in Montecito than in San Francisco, it follows that Mr. Gore just paid nearly $9 million for property, which according to his professed beliefs, will likely soon be literally under water and hence worthless both as a residence and for resale.

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Blogging, Tic Tac Toe and the Future of Math

Blogging, as you might have heard, is changing the face of the media. It may also be changing the face of mathematical research. For the first time ever, a substantial mathematical problem has been solved via an accumulation of blog comments, all building on each other. Could this be the future of mathematical research?

Before I explain the problem, let’s talk a little about tic-tac-toe. As you probably figured out long ago, intelligent players of ordinary tic-tac-toe (on a 3 by 3 board) will invariably battle to a draw. But, as you probably also figured out, not every game ends in a draw, because not every player is intelligent.

On the other hand, if we blacken out the three squares on the main diagonal and don’t allow anyone to play there (so the game ends when the remaining six squares are filled, then every game is sure to end in a draw. There’s simply no way to get three in a row when you’re not allowed to play on the diagonal:

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Brain Teaser

Here’s a brain teaser I wish I’d invented in time to include it in The Big Questions:

John and Mary live in an isolated village where they have no access to reference materials, no contact with the outside world, and nobody to talk to except each other. One day an anthropologist arrives in this village, sits down for coffee with John and Mary, and quizzes them about their knowledge of the world. John says he’s sure that men have walked on the moon; Mary says she’s sure they haven’t. Never having discussed this issue before, each of them is astonished and flabbergasted by the others’ apparent ignorance. Rather than risk losing all respect for each other, John and Mary agree never to speak of the subject again. But the anthropologist mentions that she’ll be stopping by once a day from now on, and will be glad to know if either of them ever has a change of mind on this topic. If so, the anthropologist will inform the other. Otherwise, the anthropologist will never bring it up either.

The next day (a Monday) nobody’s mind has changed, and therefore the subject is not discussed. The same thing happens on Tuesday, Wednesday and Thursday. Can this go on forever?

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