# Another proof that 0=2

Time for a math riddle. Haven’t done these in a while. Well, haven’t done any in this blog, when I come to think about it. OK. That was enough thinking. Let’s get down to biusiness.

Take a point on the complex plane. Take one which is on the unit circle:

$z=e^{i\theta}$

Now replace $\theta$ with $\phi = \frac{\theta}{2\pi}$. We get:

$z=e^{i\theta}=e^{2\pi\i\phi}$

Which by the simple laws of arithmetic gives us:

$z=e^{2\pi\i\phi}=\left(e^{2\pi\i}\right)^\phi=1^\phi=1$

So every point on the unit circle is 1!

As a simple consequence we get 1=-1. Add 1 on both sides and get 2=0.

QED.

Can you spot the error?

# Moses: A lesson in leadership

Happy Passover to all three readers of my Blog. Today, we shall read a sermon about great leadership at work, and of the relevance of ancient Judaism to our current political life.

These week we, Jews, celebrate the exodus – the miraculous escape of more than half a million Jews from slavery in Egypt. Their 40-years journey through the desert. Mount Sinai. The giving of the Torah. And the epitome of leadership: Moses.

Out of sheer sloth, I will assume that my readers are verse in the stories. For those who are not, take a look at wikipedia. What interests me is the great leadership shown by Moses (and his God). Through the first chapters of their tour of the Sinai desert, it becomes apparent that the people are not fit to be led by the great leader. They tire him by relentlessly asking to be fed, defended, and led. They show more interest in golden statues than in abstract deities. What Moses does in the story, reminds me of Berthold Brecht’s remark regarding the true followers of Moses – The governing party of the late German Democratic Republic:

The people had forfeited the confidence of the government and could win it back only by redoubled efforts.Wouldn’t it be easier to dissolve the people and elect another in their place?

Which is exactly what Moses does. The great leader takes his people on a 40 year travel, so as to rid himself of the bickering mob, and remould their children into a rough warrior-like tribe, capable of mass murder. The People is not fit – so he replaces it. A towering moral example if there ever was one.

Should I have dubbed this post  “a lesson in soviet-type leadership”?