Category Theory in a nutshell

Category theory takes a bird’s eye view of mathematics. From high in the sky, details become invisible, but we can spot patterns that were impossible to detect from ground level.

The opening sentences from Tom Leinster [2014]: Basic Category Theory. Cambridge University Press. Cambridge Studies in Advanced Mathematics.

Mattawamkeag, Maine

My high-school English teacher, Gary Whale, interviewed by ABC radio about the town of Yamba, NSW, Australia, available as a podcast.

Yamba Surf Club was founded in 1908. The photo shows Tommy Walker surfing at Yamba around 1911. (Photo by O. B. Notley, from Manly Life Saving Club Australian Surfing Museum.) The post title is a reference to an O. Henry story.

Transitions 2014

People who have passed on during 2014 whose life or works have influenced me:

  • Amiri Baraka (LeRoi Jones) (1934- 2014), American poet
  • Charles Barsotti (1933-2014), American cartoonist
  • Sid Caesar (1922-2014), American comedian
  • Bob Crewe (1930-2014), American songwriter
  • Al Feldstein (1925-2014), American artist and editor of Mad magazine
  • Nadine Gordimer (1923-2014), South African writer
  • Alexander Grothendieck (1928-2014), French mathematician
  • Stuart Hall (1932- 2014), British cultural theorist
  • Philip Seymour Hoffman (1967-2014), American actor
  • Wojciech Jaruzelski (1923-2014), Polish soldier and politician
  • Morris Lurie (1938-2014), Australian comic writer
  • Rik Mayall (1955-2014), British actor and comedian
  • Tony Meale (c. 1963-2014), Australian wit
  • Pierre Ryckmans (Simon Leys) (1935-2014), Belgian-Australian political analyst
  • Maximilian Schell (1930-2014), German actor
  • Peter Sculthorpe (1929-2014), Australian composer
  • Pete Seeger (1919-2014), American folk singer
  • Eduard Shevardnadze (1928-2014), Georgian politician
  • Horace Silver (1928-2014), American jazz pianist
  • Edward Gough Whitlam (1916-2014), Australian statesman
  • Robin Williams (1951-2014), American comedian and actor
  • Neville Wran (1926-2014), Australian politician.

Last year’s post is here.

A great Norwegian Messiah

Until this month, the best performance of the Messiah I ever heard was in 2011, an event I recorded here. I have now heard its equal.

This latest Messiah was performed on 19 December 2014 by The BBC Singers and the Norwegian Wind Ensemble, in an arrangement by Stian Aareskjold, under David Hill (conductor), with Fflur Wyn (soprano), Robin Blaze (counter-tenor), Samuel Boden (tenor) and Mark Stone (bass), in Temple Church, as part of Temple Winter Festival.

My heart sank when I first saw that the music had been arranged for wind-band, since groups of woodwinds, so often shrill and ineffectual, are not my favourite ensembles. But in fact this version turned out to be a wonderful arrangement and was realized in a thrilling performance. The secret, I think, was that the ensemble included a double bass and cello, some marvelous natural horns and three sackbuts, and, most spectacularly, saxophones. The solo for soprano sax in “O Thou That Tellest” played by Kristin Haagensen was just superb. That solo soared, as so did the saxes on “Surely He Hath Borne our Griefs and with His Stripes we are Healed”. A modern Briton, of course, cannot easily hear baroque music played by saxophones without thinking of Michael Nyman, and, just as with his great music, this was a truly sublime experience. The trombones in “He Trusted in God” were also inspired. Mr Aareskjold should be congratulated on this arrangement, and I hope it is soon recorded.

In addition, the performance rocked, and often literally. I was sitting as close to the orchestra as I could possibly get, and even had the two baroque trumpeters between me and the orchestra for the second half – Stian Aareskjold and Torgeir Haara, who had played angelically from the organ loft in the first half. (They played from iPads controlled by foot pedals.) So I could see the movement of choir and players as they performed, and there was a distinct bounce in some of the numbers, particularly in “His Yoke is Easy”. Perhaps the presence of saxes played by jazz musicians, who (unlike most classical musicians) move in time to their playing, led to this. Mr Aareskjold is the son of a trumpeter and the grandson of a trombone player (the reverse of my own ancestry), and brass players are often crossover musicians. The Church acoustics were, as usual here, superb.

For the “Hallelujah” Chorus, only part of the audience stood. Until this performance, I had never heard of the action of standing being construed as showing support for monarchical systems of government, and, frankly, such an interpretation is ridiculous. One stands for the “Hallelujah” because it is a tradition to do so, even if a tradition started by a Hanoverian monarch. Like Karl Marx, I believe traditions are the collected errors of past generations. But, like Morton Feldman, I’ve realized in adulthood that errors are not necessarily always to be avoided.
The concert is available to listen until mid January 2015, via BBC Radio 3. The Ensemble hails from Halden, a town of just 30,000 people. It was nice that the people sitting near me also came from there, and had brought with them tourist brochures to entice us to visit the town. I took one, of course, as it gave to airy nothing a local habitation and a name.
And on the way out of the Middle Temple, in the offices of law-firm Gibson, Dunne & Crutcher in Temple Avenue, a late-working Friday evening team could be seen around a white board, making at least one observer envious of their camaraderie and collective efforts. How much fun it looked!

Henry James' advice to writers

Earlier this year, The Spectator magazine ran a competition asking for 150 words of advice to intending writers purporting to be from well-known writers.   Had he still been alive, this would have been the advice that Henry James would not have given:

The – and it is, one would venture, most appropriate to deploy the definite article in this, admittedly ambiguous, context, although many may well disagree, and so the utterance will surely not remain uncontested, but, one hopes, always unrebutted – first – because the established custom in our society, at least that part having a certain level of education and – how shall I best acknowledge this? – breeding, is to denumerate from the first numeral, for, after all, exactly how could no elements even be articulated, let alone counted? – rule – although our society, however flawed, and it is flawed, is law-governed, or rather aspires to be thus – is – and there can be none, at least none of social consequence, who could argue or question what the meaning of is is – to be – for we are dealing with the invocation of existence in reference to something primeval, inchoate, even struggling to be birth-éd – concise.”

Chickens, roosting, home

Re-reading Ian Hancock’s fine history of liberal white politics in Rhodesia reminds me that the first politician in that sad country to harass and intimidate his political opponents was not Robert Gabriel Mugabe, but Ian Douglas Smith. Smith and his Rhodesian Front party arrested, tortured, silenced, detained, and killed black opponents of white rule.  As far as I know, no white opponents were murdered, but they were arrested, deported, silenced, shouted-down in public meetings, made the victims of malicious innuendo, traduction, and defamation, and otherwise intimidated if they dared oppose RF rule.  I know at least one opponent who committed suicide rather than kill his fellow citizens in defence of white privilege. 

These actions, Smith insisted, were for the maintenance of Western, Christian, values. Bah, humbug! As early as May 1965, in Smith’s first election as an incumbent prime minister, he prevented any white or black opposition politician from gaining access to state-owned media.  In contrast, Smith himself was treated with great deference and respect, despite continuing to hold racist views that would have shamed a Klansman, after Mugabe came to power in 1980.  He should have been tried as a war criminal.  In a more just world, he would have been.

The terror that Robert Mugabe has unleashed on his homeland is different in scale, perhaps, but not in kind from that of Ian Smith.  The evil that men do may well outlive them.

Reference:

Ian Hancock [1984]: White Liberals, Moderates and Radicals in Rhodesia 1953-1980. New York: St Martin’s Press.