Monday, 4 October, 2010, 08:08 AM - Billings

**Rating**3 out of 5 (Fairly platitudinous)

The Conservative Party Conference is in the news. They have an idea called the "Big Society" which is all about charity. I went to a conference about charity once. So with that brief mention of the news out of the way, I'll go on to talk about what I was going to talk about anyway.

At this big conference for charitable people, someone said something remarkable. We should look out for simple ideas that are not just ameliorative, but transformative. For those Radio 4 listeners unfamiliar with polysyllabic words, I will now explain the meaning of this.

Something is "ameliorative" if it simply provides a solution to an immediate need. It is "transformative" if it addresses the underlying cause of a problem and helps to change lives. Perhaps it will be easier for you if I explain this with the help of some examples.

The "Big Issue" is a magazine sold by unemployed people, the kind of people who don't even get invited to important charity conferences. This gives the lazy and the feckless a reason to get out of bed in the morning, it is "transformative".

Another example can be found in the Venezuelan Youth Orchestra movement. This teaches young people to play a musical instrument and so it is "transformative" too.

Jesus was happy to do ameliorative things, like when he cured or fed people, but he also did things that were transformative too, like when he brought them back to life. So Jesus approves of small ideas that are transformative.

Everyone at the conference agreed that what we needed were some really good small ideas that were transformative and changed lives.

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Saturday, 2 October, 2010, 09:37 AM - Draper

**Rating**0 out of 5 (Not platitudinous)

True wisdom is rare, but we instinctively know it when we find it.

Kate Green was diagnosed with cancer in 2008. Fearing one night that she might not see the dawn, she wrote down 100 things that were her last hopes for her husband and two young boys.

Always kiss the boys goodnight.

Teach them to be on time and to mean what they say.

Eat together at least once a week around a dining room table.

Teach them a musical instrument.

Teach them to respect women.

Always make up within a week, life is too short.

Mummy liked walks down the river bank.

Mummy wanted to hand feed a robin.

Grow a sunflower now and again.

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**Rating**5 out of 5 (Extraordinarily platitudinous)

The news wires and blogs are full of the sensational new discovery by scientists:

*some*forms of attention-deficit hyperactivity disorder

*might*have a genetic component.

If only these scientists had taken the time to consult an Islamic theologian, they would have realised that ADHD is really a complex mix of conditions. The only reliable cure for all of them is beating. It's no coincidence that the increase in this, so called "condition" has occurred as religion has declined. "Honour thy father and thy mother" or beat them until they do. If they're still hyperactive or start screaming, tie them down and put duct tape over their mouths, then keep beating them with a good stiff stick. Tell them it's God's will and it's all for their own good.

This is all part of this modern fad of finding causes of things. You all wanted to be free of divine control so you could "do your own thing" and look where you are, at the mercy of all those crazy scientists going around discovering things.

Well the Koran says you're going to be held accountable to the Invisible Magic Friend and that's that. Don't think you're going to get away with excuses like "the genes you gave me made me do it", because you won't. This can be proven using complex and intricate theology that I'm not going to explain to you and you wouldn't understand anyway.

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Friday, 1 October, 2010, 07:07 AM - Not TFTD

This should be one to look out for. The Festival of Dangerous Ideas is playing host to a mock trial of Pope Benedict. Geoffrey Robertson is prosecuting and Alan Dershowitz is defending.Protect the Pope (a site recently dedicated to Mary, our immaculate Mother, St Maximilian Kolbe, and to the Venerable Pope John Paul the Great) is already getting hysterical.

Actually that's wrong, it's been hysterically funny from the start.

Enormously Reverend James Jones, Lord Bishop of Liverpool and Bishop of Prisons, Platitude of the Year Winner 2009

Thursday, 30 September, 2010, 08:08 AM - Be nice, James Jones

**Rating**3 out of 5 (Fairly platitudinous)

And in the news today, I've just come back from an important bishops' fact finding mission to Phoenix, Arizona. It's hot there, swelteringly hot. You just wouldn't believe how hot it is. It was hotter than what you'd normally call hot. Very hot indeed.

The big topic for discussion was immigration. Should Americans try to kill illegal immigrants fleeing across the desert, or should they be nice to them? The same goes for Europeans and any other parts of the world that people are trying to illegally immigrate to.

What would Jesus have done? Should we have a green card system? Should we only take rich, well educated, highly qualified people from poor countries? After all, they wouldn't miss them, would they? Should we have an open door policy? Should we have a closed door policy?

Thanks to my fact finding mission to the swelteringly hot state of Arizona, I am now able to suggest a solution based on the teachings of Jesus. When he drove the money changers from the temple, Jesus wanted the temple to be a place of worship for all nations, although for some reason only one nation ever went there, perhaps due to the lack of money changing facilities. I think this means that the Invisible Magic Friend (of whom Jesus was the visible middle bit), wants us to be nice to foreigners. So clearly Jesus advocates a "be nice" policy.

This advice should be of great help to politicians struggling with this complex issue.

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**Rating**3 out of 5 (Fairly platitudinous)

Has anyone mentioned that there's a big Jewish festival on at the moment? We've been sitting in our damp bamboo huts, being holy, remembering our fictitious past.

Has anyone mentioned Ed Miliband yet? He wants a break with the past. New Labour is just looking so old now. But he doesn't really want to break with the past because that would mean rejecting several thousand years of European culture. He really just wants to break with New Labour and create a much brighter, glorious, New New Labour.

Now that we've got that bit of the news out of the way, let's get back to the big Jewish festival. Once the big Jewish festival is over, we start reading the Big Book of Magic Stuff all over again, just in case anything has changed since last time. Then there'll be some more big Jewish festivals where we remember the past, some of which isn't fictitious, until we get to the end of the Big Book of Magic Stuff and go back into our huts again. Then we do it all over again. But don't worry. If you forget, I'm sure one of us will remind you.

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**Rating**3 out of 5 (Fairly platitudinous)

Has anyone menshioned the Milibandsh yet? There's a shtory (hic!) in the Blible like that. Jacob tricks hish father into beshtoling, bleshtowering (hic!) blishtering (hic!), giving the elder brother's rightful blessing to him. Which ish eshactly different frum Miliband the Younger being elected Labour leader (hic!).

Jacob and Esau both proshpered. Jacob founded (hic!) Ishrael and Seesaw founded everybody else. But even though the brothersh were reconsh... (hic!) reconshiled, Ishrael and everybody elshe didn't. They threw all their cuddly toysh at each other (hic!).

And another thing. Ishrael and everybody elshe are still at it today. They need to make up (hic!) and have a big cuddle like Jacon and Eeesawww did.

Howsabout that then? (Hic!)

*Two*topical newsh shtories in under free minutes. God I'm on a roll. I'm the ex Bishop of Shruffock. S'wat I do. (Hic!).

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Monday, 27 September, 2010, 08:13 AM - Billings

**Rating**3 out of 5 (Fairly platitudinous)

Harriet Harman says life begins at 60 (although not if the government has anything to do with it).

What are we retired vicars going to do with all this free time? After a lifetime of incredibly useful vicarring, how do we get used to just not doing very much? It's easy to become fearful of just becoming too tired or too passed it to do any sort of practical vicarring at all, where our bodies just aren't up to the task of hard manual vicarring any more.

But we really shouldn't be too concerned about being useful all the time. Being useful is overrated in my book. I've spent a lifetime being useful and I'm thoroughly fed up with it. It's time to enjoy myself, take up train-spotting or stamp collecting. Something that's interesting and fun. You have no idea how bored I've been being a vicar. I'm looking forward to spreading my wings, becoming a new man, spending my time being completely useless.

Jesus said that in order to enter the Invisible Magic Friend's big house in the sky, you have to be like a little child. By that, I don't think he meant being innocent and gullible and believing any old nonsense that someone tells us. No, I think he meant that retirement was a time to let your hair down and have a good time.

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Saturday, 25 September, 2010, 12:54 PM - Not TFTD

Melvyn Bragg's superb programme, "In Our Time" did an episode on imaginary numbers this week. Interesting as it was, I don't think the utility of imaginary numbers really came across. As this blog occasionally deals with other imaginary items, I don't feel it's too off topic to try and provide a short explanation of imaginary numbers for the non-mathematically inclined out there."Imaginary" numbers are numbers that are multiples of the square root of -1, usually denoted by the letter

*i*. For centuries, it was known that many solutions of equations, such as x squared = -1, required

*i*. These were simply discarded as it was assumed they had no real meaning. There seemed to be no number that, when squared, could possibly equal -1.

Mathematicians simply invented the number

*i*and started to play with it just as if it were one of the "real" numbers. When we add real and imaginary numbers together (e.g. 2 + 3

*i*) we get the so called "complex" numbers. Carl Friedrich Gauss was able to show (in his doctoral thesis no less) that all equations involving powers of

*x*had solutions in the complex numbers. The algebra of complex numbers can, in this sense, be thought of as complete. This theorem goes by the rather grand title, "The Fundamental Theorem of Algebra".

The real usefulness of complex numbers only become apparent once we adopt a visual representation for them. Real numbers can be thought of as being placed on a line that goes from left to right,

stretching off to infinity in both directions. All fractions, irrational numbers (such as square root of 2) and transcendental numbers (such as pi) have their appropriate place on the line, but there is no number on the line that squares to -1. Several mathematicians had the idea of drawing another line at ninety degrees to the real numbers and placing the imaginary numbers there. This is called the Argand plane.

To add or subtract complex numbers you just add or subtract their corresponding real and imaginary parts. Multiplication is a bit more interesting. Here are two complex numbers:

1 +

*i*and -1 +

*i*

The absolute "length" of these numbers as plotted on the Argand plane is just found using Pythagoras' theorem:

square root (1 squared + 1 squared) = root 2.

They make angles of 45 degrees and 135 degrees with the positive real axis.

To multiply them we just use the normal distributive rule of ordinary arithmetic.

(1 +

*i*) x (-1 +

*i*)

= 1 x (-1 +

*i*) +

*i*x (-1 +

*i*)

= -1 +

*i*-

*i*- 1 (remembering that

*i*x

*i*= -1)

= -2

This is a number that has a length which is the product of the two original numbers (root 2 times root 2 = 2) and the sum of their angles (45 degrees + 135 degrees = 180 degrees).

Although we've only shown it for a special case, a little bit of trigonometry shows it to be true in general. To multiply two complex numbers, you multiply their lengths and add their angles. But now consider complex numbers that all lie on a circle of radius one.

All these complex numbers have length one. Multiply any two of them together and you get another complex number with length one but with the two angles added together. Those of you who remember your logarithms and exponentials might see a connection here.

To multiply two exponentials of the same number, you just add their exponents. We have something very similar here with two unit length complex numbers: you just do an addition, but this time it's of their angles.

If you remember your basic trigonometry, you'll see that the complex numbers on the unit circle have real and imaginary parts corresponding to the sine and cosine of their angles.

So we can express any complex number of unit length in terms of a single parameter, namely its angle.

And we can multiply two of them simply by adding their angles. This connection between exponentiation and trigonometry gives us the incredibly useful formula (Euler's formula):

(

*e*is the base of the natural logarithms).

Why is this so incredibly useful? The reason is that it is much

*much*easier to manipulate exponentials than to manipulate trigonometric functions. Nature is full of periodic, wavelike phenomena. These can be broken down into sums of sines and cosines.

Expressing them as complex exponentials makes possible much of the world of electrical and electronic engineering, heat flow, fluid flow, quantum mechanics. Almost anything that is periodic or wavelike would be incredibly hard to work with without Euler's famous formula.

It might be going too far to say that modern technology, science and engineering would be impossible without imaginary numbers, but it would certainly make life a lot harder.

Saturday, 25 September, 2010, 11:10 AM - TFTD

The Thought For The Day website doesn't seem to be getting updated any more. They are however maintaining a list of recent TFTDs as podcasts, so we can all continue to enjoy these daily moments of enlightenment long after we get out of bed.http://www.bbc.co.uk/podcasts/series/thought

I'll link to these as they become available. I have no idea how long the links will remain valid, or whether the BBC will delete them over time.

The old links were quite formulaic and I could include them in advance simply by adjusting the date. The new ones also include a timestamp, so I won't be able to link to them until they appear on the BBC website. It looks like some kindly person in the Holy Department of Religion wants to make my life a little bit more difficult. I can't think why.

Sadly, it looks like transcripts have been discontinued. I have no idea if this is a permanent change of policy or is merely a temporary glitch.

Mutt, who used to maintain the TFTD website, has also been absent from this blog for a while. I hope everything is OK.

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