Heard of Dunbar's number? You're likely to soon, as the evolutionary anthropologist, Robin Dunbar, has a new book out, How Many Friends Does One Person Need? It's 150, and it's the typical size social groups should be, based upon the size of the human neocortex. Moreover, it apparently turns out that the number 150 is about the size of certain social groupings, from medieval villages to Roman cohorts. Maybe - though I note my dictionary says cohorts were between 300-600. Also, Dunbar's number has been defined as a limit on the number of 'stable relationships' any one person can maintain, when here in the UK, at least, I maintain stable relationships with about 60 million others. It's called democracy. One does wonder whether the number means anything at all.

But that aside, it's worth asking this: why is the number so compelling, particularly in relation to friendship?

After all, what would be surprising is if Dunbar's number was, say, 15 or 1500, and yet still groups were around 150. That would require an explanation. But that a bit of the brain seems about the right size for the life we actually lead is like observing that hands are about the right size for writing.

The thing that worries me is the instrumental approach to friendship the number nurtures. From being an evolutionary aside, almost a tautology, it has become a prescription - as the title of the book reveals: you need 150 friends.

Quantity is a perfectly sensible question to ask when buying apples at the supermarket. But we have a different relationship with people. They are I-Thou relationships, as Buber put it, not I-It, as the quantitative assessment makes them. Turn an I-Thou into an I-It, and you kill friendship stone dead. It's love by cost-benefit analysis; agony aunt advice from accountants. My friends are the service providers in my optimized life. Better go out and get them.

I've not actually read the new book as yet, so maybe I should lighten up. Perhaps it comes with a health warning. The trouble is that ostensibly at least, it's treating human beings as machines, the brain as a computer - and that is a pervasive hermeneutic in contemporary culture. As Iain McGilchrist notes, neuroscience has got stuck on the question of what the brain does - a dysfunctional, left-hemisphere-dominant mindset. The worry is that everyone else gets stuck in that mindset too.

For staying with the issue of friendship, it's clearly the case that everyone likes to be useful to their friends. But feeling that you are being used in a friendship is something very different - the first sign of its terminal decline. Perhaps the number should be renamed Dunbar's killing friendship fact.