Philosophy
Tournament of Towns differs from many other similar competitions by its philosophy relying much more upon ingenuity than the drill. First, problems are difficult (especially in A Level in the Senior division where they are comparable with those at International Mathematical Olympiad but much more ingenious and less technical). Second, it allows to participants to choose problems they like as for each paper the participant's score is the sum of 3 his/her best answers.
The problems are mostly combinatorial, with the occasional geometry, number theory or algebra problem. They have a different flavour to problems seen in other mathematics competitions, and are usually quite challenging. Some of the problems have become classics, in particular two from the Autumn 1984 paper.
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Famous quotes containing the word philosophy:
“What is rational is actual and what is actual is rational. On this conviction the plain man like the philosopher takes his stand, and from it philosophy starts in its study of the universe of mind as well as the universe of nature.”
—Georg Wilhelm Friedrich Hegel (1770–1831)
“The Greeks, with their truly healthy culture, have once and for all justified philosophy simply by having engaged in it, and having engaged in it more fully than any other people.”
—Friedrich Nietzsche (1844–1900)
“My philosophy is that to be a director you cannot be subject to anyone, even the head of the studio. I threatened to quit each time I didn’t get my way, but no one ever let me walk out.”
—Dorothy Arzner (1900–1979)