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Whether it's AI or us, it's OK to be ignorant

Our search for answers begins by recognising that we don’t have them.

Simon Walters is Curate at Holy Trinity Huddersfield.

A street sticker displays multiple lines reading 'and then?'
Stephen Harlan on Unsplash.

When was the last time you admitted you didn’t know something? I don’t say it as much as I ought to. I’ve certainly felt the consequences of admitting ignorance – of being ridiculed for being entirely unaware of a pop culture reference, of being found out that I wasn’t paying as close attention to what my partner was saying as she expected. In a hyper-connected age when the wealth of human knowledge is at our fingertips, ignorance can hardly be viewed as a virtue. 

A recent study on the development of artificial intelligence holds out more hope for the value of admitting our ignorance than we might have previously imagined. Despite wide-spread hype and fearmongering about the perils of AI, our current models are in many ways developed in similar ways to how an animal is trained. An AI system such as ChatGPT might have access to unimaginable amounts of information, but it requires training by humans on what information is valuable or not, whether it has appropriately understood the request it has received, and whether its answer is correct. The idea is that human feedback helps the AI to hone its model through positive feedback for correct answers, and negative feedback for incorrect answers, so that it keeps whatever method led to positive feedback and changes whatever method led to negative feedback. It really isn’t that far away from how animals are trained. 

However, a problem has emerged. AI systems have become adept at giving coherent and convincing sounding answers that are entirely incorrect. How has this happened? 

This is a tool; it is good at some tasks, and less good at others. And, like all tools, it does not have an intrinsic morality. 

In digging into the training method for AI, the researchers found that the humans training the AI flagged answers of “I don’t know” as unsatisfactory. On one level this makes sense. The whole purpose of these systems is to provide answers, after all. But rather than causing the AI to return and rethink its data, it instead developed increasingly convincing answers that were not true whatsoever, to the point where the human supervisors didn’t flag sufficiently convincing answers as wrong because they themselves didn’t realise that they were wrong. The result is that “the more difficult the question and the more advanced model you use, the more likely you are to get well-packaged, plausible nonsense as your answer.” 

Uncovering some of what is going on in AI systems dispels both the fervent hype that artificial intelligence might be our saviour, and the deep fear that it might be our societal downfall. This is a tool; it is good at some tasks, and less good at others. And, like all tools, it does not have an intrinsic morality. Whether it is used for good or ill depends on the approach of the humans that use it. 

But this study also uncovers our strained relationship with ignorance. Problems arise in the answers given by systems like ChatGPT because a convincing answer is valued more than admitting ignorance, even if the convincing answer is not at all correct. Because the AI has been trained to avoid admitting it doesn’t know something, all of its answers are less reliable, even the ones that are actually correct.  

This is not a problem limited to artificial intelligence. I had a friend who seemed incapable of admitting that he didn’t know something, and whenever he was corrected by someone else, he would make it sound like his first answer was actually the correct one, rather than whatever he had said. I don’t know how aware he was that he did this, but the result was that I didn’t particularly trust whatever he said to be correct. Paradoxically, had he admitted his ignorance more readily, I would have believed him to be less ignorant. 

It is strange that admitting ignorance is so avoided. After all, it is in many ways our default state. No one faults a baby or a child for not knowing things. If anything, we expect ignorance to be a fuel for curiosity. Our search for answers begins in the recognition that we don’t have them. And in an age where approximately 500 hours of video is uploaded to YouTube every minute, the sum of what we don’t know must by necessity be vastly greater than all that we do know. What any one of us can know is only a small fraction of all there is to know. 

Crucially, admitting we do not know everything is not the same as saying that we do not know anything

One of the gifts of Christian theology is an ability to recognize what it is that makes us human. One of these things is the fact that any created thing is, by definition, limited. God alone is the only one who can be described by the ‘omnis’. He is omnipotent, omnipresent, and omniscient. There is no limit to his power, and presence, and knowledge. The distinction between creator and creation means that created things have limits to their power, presence, and knowledge. We cannot do whatever we want. We cannot be everywhere at the same time. And we cannot know everything there is to be known.  

Projecting infinite knowledge is essentially claiming to be God. Admitting our ignorance is therefore merely recognizing our nature as created beings, acknowledging to one another that we are not God and therefore cannot know everything. But, crucially, admitting we do not know everything is not the same as saying that we do not know anything. Our God-given nature is one of discovery and learning. I sometimes like to imagine God’s delight in our discovery of some previously unknown facet of his creation, as he gets to share with us in all that he has made. Perhaps what really matters is what we do with our ignorance. Will we simply remain satisfied not to know, or will it turn us outwards to delight in the new things that lie behind every corner? 

For the developers of ChatGPT and the like, there is also a reminder here that we ought not to expect AI to take on the attributes of God. AI used well in the hands of humans may yet do extraordinary things for us, but it will not truly be able to do anything, be everywhere, or know everything. Perhaps if it was trained to say ‘I don’t know’ a little more, we might all learn a little more about the nature of the world God has made. 

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5 min read

How to have a philosophically happy Christmas

Raise a glass to the invasion of history by the author of history.

Professor Charles Foster is a Fellow of Exeter College, Oxford, and a member of the Oxford Law Faculty.

A fish eye lens view of a person standing silhouetted, looking up to a colourful night sky with the Milky Way across it
Greg Rakozy on Unsplash.

A few years ago, I had dinner with a well-known philosopher. Knowing that he is no friend of religion, and curious how he’d respond, I set about mocking the credulity of Christians and parroting the lines I’d so often heard: superstition degrades and obfuscates; let’s act and think like grown-ups, not craven children; we’re free to write our own rules, and we can write better rules than barbarous Levantine goat-herders; we’re brave enough to say that when we die we rot. And so on. The standard fare.  

He looked at me over the top of his glass. ‘Have you never been taught’, he said acidly, ‘that if you destroy the premises of an argument, the argument collapses? The same is true of history.’ 

I’ve slowly learned that he was right.  

‘What have the Romans ever done for us?’, asked John Cleese, as the leader of the People’s Front of Judea. He’s famously answered by his troops. The modern version of the question, which is just as embarrassing, is ‘What have the Christians ever done for us?’  The historian Tom Holland, not (as far as we know) himself a professed Christian, has made a good living by providing a long and meticulously documented list. I’m not going to review it here.  My own personal list would include Chartres Cathedral, Paul’s tectonic notion that there is ‘neither Jew nor Greek, slave nor free, male nor female’ (and hence universal human dignity and suffrage), and Christmas

The Christians say that Christmas is the commemoration of a historical fact: an invasion of history by the author of history; of creation by the creator.  

This is too much for many to swallow.  If that’s true for you, is it dishonest to celebrate Christmas? 

A mathematician friend works on imaginary numbers. An imaginary number is a real number multiplied by the ‘imaginary unit’, i. i2 = -1, and so i = √-1. Think about it. It’s an impossibility. It’s absurd. Descartes talked about ‘imaginary numbers’ only to laugh at the idea. But they are enormously useful in real life. You are reading this on a phone or computer screen courtesy of imaginary numbers. Sometimes it’s worth suppressing, or at least muting, a contemptuous laugh. Tom Holland’s list, and mine, depend on theological and historical numbers that might (or might not) be imaginary. You don’t have to stop dubbing the numbers ‘imaginary’ – don’t stop having to call them ludicrous – to carry on reading your screen.  

Christmas, for me, is a celebration not only of family, gluttony and intoxication, but of four facts (if the Christians are historically correct) and four principles which are generated by those facts - whether the facts are real or imaginary. The principles work, just as my computer screen does. 

First: human agency is cosmically colossal. The invasion I mentioned above was invited (so preventing it from being rape) by a Palestinian Jewish girl. She could have said ‘No’, and so scuppered the whole project.  

Second: Christmas drafts a completely new account of power. In the Christian story of Easter, all the powers of darkness are disarmed by one broken man dying on a piece of wood between dying criminals. It was a continuation of the story that began at Christmas: the birth, in a shitty stable, to a teenage mother accused of fornication, of a child soon to be a refugee, driven to another country to escape the murderous authorities. It’s all about the subversion of political and military power by the irresistible power of the powerless.  

Third: the universe is surprising. Nobody predicted the invasion. Yes, I know the Christians say, with the confidence given by the retrospectocope, that there were hints in the Hebrew scriptures, but they weren’t seen at the time, and the most learned Jews today, even with the retrospectoscope, still don’t see them. Yes, I know that the ancient world was awash with tales of the impregnation of mortals by gods, and with virgin births (think of Dionysos, Attis, Romulus and Remus and many others). But they didn’t look remotely like this. Those tales were told to prop up conventional claims to power, not explode them. Bethlehem burst onto the blind side of history, injecting unforeseen possibility. The virgin conception smashed pre-conceptions. A new way of being had gestated. If that was possible, what wasn’t?   

Fourth: The most revolutionary thing about Christmas, perhaps, is that it shows that mythos is real – part of the web and weave of reality.  

After dinner at Magdalen College, Oxford, on 20 September 1931, J.R.R. Tolkien, C.S. Lewis and Hugo Dyson walked together along Addison’s Walk, part of Magdalen’s grounds. They were discussing the resurrection of Jesus. Lewis knew all about the ubiquitous tales of dying and rising gods. The Christian resurrection stories were no different, he said. They were poetically resonant, no doubt, but essentially ‘lies and therefore worthless, even though breathed through silver.’ 

‘No’, said Tolkien. ‘They are not lies,’ There was a sudden rush of wind in the still night. In Lewis’s rooms the conversation continued into the early hours. The stories were indeed myths, Tolkien contended, but true myths.  

This conversation propelled Lewis finally into Christianity.   

The Christmas story suggests that Tolkien was right (and those notoriously mystical quantum physicists – some of the most adept handlers of imaginary numbers, by the way - are right): there is no robust boundary between history and legend, between physics and metaphysics, between matter and spirit. This, in fact, is our working assumption, whether we’re explicitly religious or not. However icy our reductionism, we think that we matter, that there is more than matter, and that whatever that ‘more’ is, it is heavier and more enduring than matter, and matters more than matter. We love our children far more than reciprocal altruism or kin selection suggests we should. However sturdy our atheism we dab our eyes at the St Matthew Passion and put flowers on our parents’ graves.  

It is reassuring to have a festival which enjoins us to lift our glasses and toast the way we live when we’re being the kind of people we urge our children, our friends and our politicians to be. It commands us to admit mystery to the dining table, and to celebrate being as mysterious as we know we are.  

Christmas, authentically celebrated, is part of the foundation on which rest Chartres cathedral, freedom, suffrage, dignity and many things we innocently and dangerously take for granted. Like it or not, that foundation, as the austere philosopher observed, is the premise of the argument for the civilization that until recently succoured us before we replaced it with – well, with what?  

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