Good news from the Commonwealth Heads of Government conference in Perth – the Royal succession rules will be changed to end the male primogeniture rule.
Not before time. I’ve argued previously, on several occasions, that the existing law enshrined sexism at the heart of our constitution. In my opinion, this has been settled consensus since women were given the right to vote in the 1920s.
Sadly, in many other countries and cultures, the “we wish you were not a girl” sentiment still persists. The Japanese system does not allow women to ascend to the throne at all and elective abortions of female foetuses have skewed the gender balance in India.
Month: October 2011
By far the best iPhone game I have come across is Trainyard. Is a deceptively simple puzzle, in which the player lays tracks to guide a set of coloured trains from their starting points to a goal. It has all the features of a great game: the rules are few, simple and intuitive. The puzzles are solved on a 7×7 grid, which gives the impression that a correct solution is on the cusp of revealing itself. The graphic design and sound design give you a satisfying mental ‘pay off’ when a puzzle is solved. This all adds to the addictive quality. It is no surprise it is one of the highest ranking games in the App Store.
Until recently, Trainyard’s only flaw was that it had a set number of puzzles to play. When they were solved, the payer had to go cold turkey. Playing a pre-solved puzzle was dull. However, with the latest update, the game’s creator Matt Rix has solved this problem, by providing an ‘engineer’ feature. Players can now create their own puzzle and upload it to Trainyard site for others to download and solve. This adds an element of competitiveness, and also social play, which makes the project as perfect as can be on it’s own terms. Highly recommended.
The ‘engineer’ feature has an interesting constraint. You cannot upload a self-made puzzle to the website unless you have solved it yourself. For a while I wondered why the computer could not already perceive which puzzles were solvable, and which were unsolvable… But then I remembered Godel’s Incompleteness Theorem, as explained to me in the sprawling Pulitzer Prize winning meditation on symmetry, mathematics, loops and consciousness, Godel, Escher, Bach by Douglas Hofstadter. Trainyard is, I think, a perfect little companion to this bizarre, genre defying book.
The cover of Godel, Escher, Back gives some clue to its esoteric subject matter
Godel’s Incompleteness Theorem says that in any consistent mathematic system will have certain “undecidable statements” which the system will not be able to answer either way. There will be true statements that nevertheless cannot be proven within that system. This holds for Trainyard, which is definitely a mathematic system with just a few logical rules. If you translate the elements of a puzzle (the starting points, gates, tracks, switch points, the colours of the trains, the goals, and the grid) into a mathematic formula (which, of course, you can do because the iPhone is essentially a mathematical machine, manipulating millions of 1’s and 0’s each second) there would be no equation or test that could consistently tell you whether the puzzle could be solved or not. The only way to tell is to run the puzzle, set off the trains, and see what happens. With some puzzles (such as this one) it is actually quite easy for even a novice player to work out that the puzzle has been solved, but the computer has to run it (all 10,603,843 steps) to confirm that fact.
Kurt Gödel
The second link with Godel, Escher, Bach is to do with synapses, and how elements as simple and as binary as a neurones can give rise to enough symbols and signals to constitute a consciousness. Trainyard works wonderfully well as a metaphor for neural pathways, but it is only with the addition of the ‘engineer’ feature that this becomes apparent.
What do we notice when we look at the game in this way? (1) First of all anyone playing the game can see how the same track layout can result in completely different outcomes, depending on the number of trains sent from any given start position. On a related point, it is also interesting to see tiny changes to the track layout can fundamentally alter the outcome, once the trains are set in motion.
One of 3403 solutions to 'A Barrel Roll', one of the puzzles on Trainyard
Through this, one can begin to comprehend how a brain, with very simple building blocks can give rise to huge, complex patterns, which is what is required to perceive and interact with the world. We can see how an apparently fixed set of neurones can act in different ways, depending on the precise nature of the stimulus.
A different insight – one only needs to play Trainyard for a short period of time to see how the same outcome can be achieved in a near infinite number of different ways – for each puzzle in game, users have submitted hundreds of unique solutions. It’s not really important how you get there, just so long as the right pattern emerges. When thinking about brains (artificial or biological), the lesson might be that trying to discover a particular set of pathways could be a red herring. If you were to do so, you would only understand one brain, not The Human Brain. We all have different patterns and pathways in our cerebal cortexts, and it is the different pathways we take to make the same patterns, that makes us unique.
Finally, it is worth remembering the insight of Godel’s Incompleteness Theorem. When you get to a sufficiently complex puzzle solution,you can never know whether it will produce the desired outcome, until you set the train running. This will hold for the artificial brains we create on circuit boards and in the RAM of computers – we won’t know whether the pattern we have created will work, until we have tried it. Which means we can’t work out the ‘correct’ pattern in advance. We’ll need to create some process of trial and error – a metaphor for evolution – before we hit on a correct pattern, and win our mental payoff.
Phil Mitchell (Steve MacFadden)
Last week, a fascinating storyline emerged in Eastenders. It’s all about the weak standing up to the strong.
Bald bully Phil Mitchell (Steve MacFadden) is pursuing a vindictive vendetta against cheery Minute Mart Manager, Patrick Trueman (Rudolph Walker). Patrick saw Phil’s son Ben (Joshua Pascoe) kissing another boy (Monday) which led Ben to try to intimidate Patrick into silence (Tuesday) This led to an argument which Phil interrupted. He asked Patrick to apologise but this was refused. Phil has therefore ostracised Patrick from Shirley’s cafe, and had him sacked from his glass collecting job at the Queen Vic (Thursday).
Phil is not the only nutter on Albert Square. Two other characters, Michael Moon (Steve John Shepherd) and Dr Yousef Khan (Ace Bhati), are currently behaving in a much more dangerous manner, but their agendas are purely personal. Phil’s behaviour, on the other hand, seems to be more about the exercise of power in general, rather than a personality clash. Patrick is being punished only because he challenged the primacy of the Mitchell clan. Phil needs to be seen to prevail, whereas Michael and Yousef prefer subterfuge.
What is interesting about this new storyline is how this power corrupts other characters. The two most amiable characters in the show, Alfie Moon (Shane Ritchie) and Heather Trott (Cheryl Fergison), are both financially dependent on Phil Mitchell, and both are forced to act unfairly towards Patrick. The young Mitchell generation, Ben and Jay (Jamie Borthwick), certainly realise that their father is in the wrong, but have no interest in challenging him, because their own standing in the community is derived from Phil. Perpetual doormat Billy Mitchell (Perry Fenwick) is likewise an enabler.
Phil has been allowed to get away with such appalling behaviour for so long because of his money. He owns four businesses around Albert Square (the pub, the nightclub, the Arches garage, and the cafe) and therefore has economic power over the less financially secure characters (i.e., most people). Therefore he shows little remorse for psychologically damaging his entire family and almost incinerating everyone in the Vic during a drug-induced rage last year.
However, what is so delicious about the emerging storyline is that this power is now being challenged, and may even be shown to be built on thin foundations. Patrick has made a martyr of himself by standing by his principles and refusing to apologise. This dignity in the face of abuse has inspired an unlikely revolutionary in Heather, who has moved out of Phil’s house in a symbolic gesture of solidarity. The next step will be dissent from within the Mitchell regime that undermines Phil’s aura of impunity. Ben has yet to build up the courage to confess his sexuality to Phil, but when he does that will shatter the unity of the family. Power broker Shirley (Linda Henry) may even take sides against Phil when she returns to Walford.
Now Heather and Patrick have shown dissent, let us hope that other citizens of Walford follow suit. Although Phil is well off, his money is geographically tied to Albert Square. A community boycott would therefore be easy to organise and could have quick and far reaching implications for Phil.
The worry is this: If Phil Mitchell falls, who or what will fill his place. Albert Square is an odd sort of community? On the one hand, it is very tightly woven, and one hopes that this would allow a fairer hierarchy to emerge. On the other hand, the residents have an unlikely appetite for conflict. They are quick to make vocal judgements about other people, are happy to engage in public rudeness and humiliation, and rarely choose reconciliation when it is offered. This lack of a culture co-operation could allow another rich tyrant to step into Phil Mitchell’s shoes. Janine (Charlie Brooks) is my best bet to fill this role – she has just come into a large inheritance and is busy building a property empire on Albert Square. Meet the new boss, same as the old boss.