Mathematics

The Joy of Sets

By Jason Rosenhouse
In more than a decade of socializing with creationists and other religious fundamentalists, I frequently encountered blinkered arguments about mathematics. This attack on set theory, however, was new to me. I cannot even imagine why anyone would think set theory is relevant to discussions of whether it is man or God who creates math. Perhaps the problem is that set theorists often speak a bit casually about infinity, which some people think is tantamount to discussing God. Alas, this line of criticism is too blinkered to take seriously.

Maths, magic, and the electric guitar

By David Acheson
I’ve just had a great time at the 2012 Edinburgh International Book Festival, even though it was a rather strange experience for a mathematician. In the Author’s Yurt (sic), for example, I was surrounded by fiction writers, with lots of pointy beards and wild hair. As it happens, I used to write detective stories when I was a young boy, so once had vague dreams of becoming a fiction writer myself.

Computers as authors and the Turing Test

By Kees van Deemter
Alan Turing’s work was so important and wide-ranging that it is difficult to think of a more broadly influential scientist in the last century. Our understanding of the power and limitations of computing, for example, owes a tremendous amount to his work on the mathematical concept of a Turing Machine. His practical achievements are no less impressive. Some historians believe that the Second World War would have ended differently without his contributions to code-breaking. Yet another part of his work is the Turing test.

Turing’s Grand Unification

By Cristopher Moore and Stephan Mertens
Many of the central moments in science have been unifications: realizations that seemingly disparate phenomena are all aspects of one underlying structure. Newton showed that the same laws of motion and gravity govern apples and planets, creating the first explanatory framework that joins the terrestrial to the celestial. Maxwell showed that a single field can explain electricity, magnetism, and light. Darwin realized that natural selection shapes all forms of life. And Einstein demonstrated that space and time are shadows of a single, four-dimensional spacetime.

Turing : the irruption of Materialism into thought

By Paul Cockshott
This year is being widely celebrated as the Turing centenary. He is being hailed as the inventor of the computer, which perhaps overstates things, and as the founder of computing science, which is more to the point. It can be argued that his role in the actual production of the first generation computers, whilst real, was not vital. In 1946 he designed the Automatic Computing Engine (ACE), a very advanced design of computer for its day, but because of its challenging scale, initially only a cut down version (the Pilot ACE) was built (and can now be seen in the Science Museum).

Sudoku and the Pace of Mathematics

Among mathematicians, it is always a happy moment when a long-standing problem is suddenly solved. The year 2012 started with such a moment, when an Irish mathematician named Gary McGuire announced a solution to the minimal-clue problem for Sudoku puzzles.

Mitchell discovers a comet

This Day in World History – Each evening that weather permitted, Maria (pronounced Mah-RYE-uh) Mitchell mounted the stairs to the roof of her family’s Nantucket home to sweep the sky with a telescope looking for a comet. Mitchell—who had been taught mathematics and astronomy by her father—began the practice in 1836. Eleven years later, on October 1, 1847, her long labors finally paid off. When she saw the comet, she quickly summoned her father, who agreed with her conclusion.

How cats land on their feet

By Ian Stewart
Falling cats can turn over in mid-air. Well, most cats can. Our first cat, Seamus, didn’t have a clue. My wife, worried he might fall off a fence and hurt himself, tried to train him by holding him over a cushion and letting go. He enjoyed the game, but he never learned how to flip himself over.

Omar is no Ozzie

By Michael Humphreys

Baseball fans love to compare the players of today to the players who came before, but one must wonder how great the margin of error in these comparisons is. Is there any way of knowing who the real baseball greats are, and whose legend should stand the test of time?

Let’s take Omar Vizquel as an example. So says Wikipedia, “Vizquel is considered one of baseball’s

Thoughts of Pi

By Jason Rosenhouse

A recent satirical essay in the Huffington Post reports that congressional Republicans are trying to legislate the value of pi. Fearing that the complexity of modern geometry is hurting America’s performance on international measures of mathematical knowledge, they have decreed that from now on pi shall be equal to three. It is a sad commentary on American culture that you must read slowly and carefully to be certain the essay is just satire.

Eating eggshells and other Valentine’s Day silliness

By Lauren Appelwick, Blog Editor

Raise your hand if you celebrate Valentine’s Day! OK…no one… Raise your hand if you like fun facts and history! Yay! Everyone! No matter how you feel about this holiday (or non-holiday, as it might be), I think the following might be of interest. Let’s start off with an excerpt from The Oxford Companion to the Year:

What’s the Problem with Maths?

By David Acheson
For what it’s worth, my own big picture of mathematics can be summed up in just six words: (i) surprising theorems, (ii) beautiful proofs and (iii) great applications.