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‘Sounds as if this fellow could be a queer after all,’ said Gilmour.

‘I don’t particularly care for that word, sir,’ she said. ‘But since you mention it, he might indeed be homosexual. Killing his brothers, as he calls those other VMN-negatives, might be a way of sublimating a homosexual inclination. Or he could be trying to sell us a dummy. To get us to waste our time conducting our investigation among the gay community. As before, there was no evidence that the dead man had been interfered with sexually. None at all.

‘As a matter of fact, Wittgenstein’s own sexuality has often been debated, and while there are some biographers who have sought, rather sensationally, to suggest that he was an active, predatory homosexual, there is little or no evidence for that either.’

Gilmour smiled uncomfortably.

‘Shall we listen to side two?’ Jake asked, and switched on the machine.

‘Greetings, Policewoman,’ said the voice. ‘Caught your show on television the other night. Thanks for the kind thought vis à vis my sanity and my pre-trial prospects. You need not worry. I have already given careful consideration to my own defence, in the unlikely but nevertheless logically possible event of my arrest.

‘I am certain that I could satisfy the court’s McNaghten Rules and maintain a successful plea of not guilty by reason of insanity. You should note that I would contend that it was the Lombroso test itself which disturbed the balance of my already precarious mind. At the same time I would almost certainly file a civil claim for damages on the basis of the duty of care owed to me and the reasonable foreseeability of my suffering some sort of nervous shock as a result of this scan. When this is all over and the Lombroso connection with these killings has been made public, I think you will find that many of the victims’ families will also want to pursue some sort of joint claim against the Brain Research Institute. But that’s another matter.’

The voice was cool and calm and entirely without an accent. As Tony Chen had described it, ‘like someone on the BBC’, except that it was almost too robotic. It had no modulation, no expression, no lilt; no idiosyncrasy of pronunciation that might indicate an area of origin. Received pronunciation, as it was sometimes described. It made Jake shiver a bit as she listened to it once again.

‘Your suggestion that my brothers are innocent was, as you must have supposed it would be, irritating to me. The fact is that I am providing the public with a valuable service. You see, these are all potentially dangerous men who cannot simply be left to their own devices. The logical extension of their identification is, as a bare minimum, containment. But since the advent of an official shoot-to-kill policy among law-enforcement agents, and the implementation of punitive coma as the new cornerstone of penal theory, the incarceration of violent criminals has been demonstrated to be of only secondary importance to an obsessively cost-conscious administration. As a consequence of this governmental example, I am moved to kill them myself, humanely and efficiently, and with the least possible inconvenience to society.’

Wittgenstein allowed himself a small chuckle.

‘You know, instead of trying to hunt me down, you should be grateful to me, Policewoman. Just consider how many of my brothers might have turned into killers of women. Tomorrow’s gynocidal maniacs. That’s your bag, isn’t it, Policewoman? Serial gynocide? At least that’s what the papers say, and we always believe what we read there, don’t we? Like poor Mr Mayhew’s brave struggle for life in hospital?’ He laughed again. ‘Anyway, you just ask yourself how many more lives may have been saved as a result of the few that have already been sacrificed? Is this not simply a kind of utilitarianism?

‘You challenged me to communicate with you, Policewoman. And I have now done so. Both semantically and syntactically you may find the message — or at least the first part of it — not much to your liking. No doubt you should have preferred it if I had seemed more obviously criminal. And if there had been a few clues to help you track me down. Sorry. I’ll try harder the next time we play our little game. Expect a telephone call from me any day now, when I’ll tell you where to find the next body. And thanks. This is so much more fun. Frankly I was becoming rather bored just executing brothers one after the other, day in day out.

‘Until then, I urge you to sharpen up your thinking and to consider carefully the grammar of what you will say to me. Remember, when eventually we communicate in a real sense you and I will be doing Philosophy. So be prepared. Yours bloodily, Ludwig Wittgenstein.’

Jake switched off the disc player.

‘Well,’ said Gilmour, ‘I’ve never heard anything like that before.’

‘It is quite unusual,’ Jake admitted. ‘However, the subject’s sense of omnipotence, his feeling of invincibility is entirely typical in cases where a multiple killer has contacted police. It’s something I’m familiar with, sir. Even Jack the Ripper was given to telling the police that he didn’t think they were going to catch him. So to that extent at least he was actually conforming to type.’

Gilmour nodded approvingly. ‘I’m sure you know what you’re doing, Jake,’ he said.

Although Jake knew she was correct in what she was saying, at the same time the killer’s disembodied words had made her feel anything but confident within herself. She had recognised a certain logic in what he had said about the need to eliminate those other VMNs. Hadn’t she said as much herself?

When Jake returned to her office she found Ed Crawshaw at her desk, writing out a note. As Jake came through the door he crushed it in his hand and stood up sheepishly.

‘I know you’re busy with this other thing,’ he said, ‘but I thought you’d like to know: we’ve a sort of lead in the Mary Woolnoth case.’

Jake closed the door, squeezed past Ed Crawshaw’s large frame and dumped herself in her chair. She felt the colour rise in her cheeks.

‘So what am I — your bloody nanny?’

Crawshaw shifted uncomfortably from one foot to the other.

Jake sighed and closed her eyes.

‘I’m sorry, Ed,’ she said. ‘It’s this other thing, as you put it. It’s got me worn out. Sit down.’ She pointed to the chair on the other side of her desk.

He sat down and opened his mouth to speak, but Jake stopped him.

‘No,’ she said, ‘don’t say anything for a moment. Just let me try and clear my mind.’

Crawshaw nodded and, adjusting his belt, leaned back in the chair.

Jake opened her shoulder bag, took out a small hand-mirror and checked her make-up as if trying to render herself more human. Her eyes looked bloodshot and her hair was a mess. The ends were split like bamboo. She could hardly remember the last time she’d been to the hairdresser. At the same time, out of the corner of her eye she observed that Crawshaw was putting on weight. His grey suit fitted him rather too snugly, she thought. He had always been a big man but now she could see how he had the potential to become a fat one. It was an impression made easier by the red-haired Crawshaw’s lardy complexion. He was spending too much time in the office and probably not eating properly: the wrong kind of food at the wrong time of day. It was easy to let yourself get out of shape when you were at the Yard. Jake counted herself fortunate that she wasn’t much interested in food.

She found her lipstick and fixing her mind on the lipstick writing she had seen on Mary Woolnoth‘,s dead stomach, she touched up the corners of her diamond-shaped mouth. Finally, as she studied the waxy red end of the lipstick she said, ‘So what sort of a lead do we have, Ed?’

Crawshaw opened the manila file on his lap, drew out a sheet of yellow paper and floated it across the desktop to her.