What Are ‘Facts’?

On the trail of the Higgs Boson

Posted by Keith Tidman

What are 'facts'? The ages-long history of deception and sleights of hand and mind — including propaganda and political and psychological legerdemain — demonstrates just one of the many applications of false facts. But similar presentations of falsities meant to deceive, sow discord, or distract have been even more rife today, via the handiness and global ubiquity of the Internet. An enabler is the too-frequent lack of judicious curation and vetting of facts. And, in the process of democratizing access to facts, self-serving individuals may take advantage of those consumers of information who are ill-equipped or disinclined (unmotivated) to discern whether or not content is true. Spurious facts dot the Internet landscape, steering beliefs, driving confirmation bias, and conjuring tangible outcomes such as voting decisions. Interpretations of facts become all the more confounding in political arenas, where interpretations (the understanding) of facts among differently minded politicians becomes muddled, and ‘what’s actually the case’ remains opaque.

And yet surely it is the total anthology of facts — meaning things (their properties), concepts, and their interrelationships — that composes reality. Facts have multiple dimensions, including what one knows (epistemological aspects), how one semantically describes what’s known (linguistic aspects), and what meaning and purpose one attributes to what’s known (metaphysical aspects).

Facts are known on a sliding scale of certainty. An example that seems compelling to me comes from just a few years ago, when scientists announced that they had confirmed the existence of the Higgs boson, whose field generates mass through its interaction with other particles. The Higgs’s existence had been postulated earlier in mathematical terms, but empirical evidence was tantalizingly sought over a few decades. The ultimate confirmation was given a certainty of ‘five sigma’: that there was less than 1 chance in 3.5 million that what was detected was instead a random fluctuation. Impressive enough from an empirical standpoint to conclude discovery (a fact), yet still short of absolute certainty. With resort to empiricism, there is no case where some measure of doubt (of a counterfactual), no matter how infinitesimally small, is excluded.

Mathematics, meantime, provides an even higher level of certainty (rigor of method and of results) in applying facts to describe reality: Newtonian, Einsteinian, quantum theoretical, and other models of scientific realism. Indeed, mathematics, in its precise syntax, universal vocabulary, and singular purpose, is sometimes referred to as the language of reality. Indeed, as opposed to the world’s many natural languages (whose known shortcomings limit understanding), mathematics is the best, and sometimes the only, language for describing select facts of science (mathematical Platonism) — whereby mathematics is less invented than it is discovered as a special case of realism.

Facts are also contingent. Consider another example from science: Immediately following the singularity of the Big Bang, an inflationary period occurred (lasting a tiny fraction of a second). During that inflationary period, the universe — that is, the edges of space-time (not the things within space-time) — expanded faster than the speed of light, resulting in the first step toward the cosmos’s eventual lumpiness, in the form of galaxies, stars, planets. The laws — that is, the facts — of physics were different during the inflation than what scientists are familiar with today — today’s laws of physics breaking down as one looks back closer and closer to the singularity. In this cosmological paradigm, facts are contingent on the peculiar circumstances of the inflationary epoch. This realization points broadly to something capable of being a fact even if we don’t fully understand it.

The sliding scale of certainty and facts’ contingency apply all the more acutely when venturing into other fields. Specifically, the recording of historical events, personages, and ideas, no matter the scholarly intent, often contain biases — judgments, symbols, interpretations — brought to the page by those historians whose contemporaneous accounts may be tailored to self-serving purposes, tilting facts and analyses. In natural course, follow-on historians inadvertently adopt those original biases while not uncommonly folding in their own. Add to this mix the dynamic, complex, and unpredictable (chaotic) nature of human affairs, and the result is all the more shambolic. The accretion of biases over the decades, centuries, and millennia doesn’t of course change reality as such— what happened historically has an underlying matter-of-factness, even if it lingers between hard and impossible to tease out. But the accretion does distort (and on occasion even falsify) what’s understood.

This latter point suggests that what’s a fact and what’s true might either intersect or diverge; nothing excludes either possibility. That is, facts may be true (describe reality) or false (don’t describe reality), depending on their content. (Fairies don’t exist in physical form — in that sense, are false — but do exist nonetheless, legendarily woven into elaborate cultural lore — and in that sense, are true.) What’s true or false will always necessitate the presence of facts, to aid determinations about truth-values. Whereas facts simply stand out there: entirely indifferent to what’s true or false, or what’s believed or known, or what’s formally proven, or what’s wanted and sought after, or what’s observable. That is, absent litmus tests of verifiability. In this sense, given that facts don’t necessarily have to be about something that exists, ‘facts’ and ‘statements’ serve interchangeably.

Facts’ contingency also hinges in some measured, relativistic way on culture. Not as a universally  normative standard for all facts or for all that’s true, of course, but in ways that matter and give shared purpose to citizens of a particular society. Acknowledged facts as to core values — good versus evil, spirituality, integrity, humanitarianism, honesty, trustworthiness, love, environmental stewardship, fairness, justice, and so forth — often become rooted in society. Accordingly, not everyone’s facts are everyone else’s: facts are shaped and shaded both by society and by the individual. The result is the culture-specific normalising of values — what one ‘ought’ to do, ideally. As such, there is no fact-value dilemma. In this vein, values don’t have to be objective to be factual — foundational beliefs, for example, suffice. Facts related to moral realism, unlike scientific and mathematical realism, have to be invented; they’re not discoverable as already-existing phenomena.

Facts are indispensable to describing reality, in both its idealistic (abstract) and realistic (physical) forms. There is no single, exclusive way to define facts; rationalism, empiricism, and idealism all pertain. Yet subsets of facts, and their multifaceted relationships that intricately bear on each other’s truth or falsity, enable knowledge and meaning (purpose) to emerge — an understanding, however imperfect, of slices of abstract and physical reality that our minds piece together as a mosaic. 

In short, the complete anthology of facts relates to all possible forms of reality, ranging the breadth of possibilities, from figments to suppositions to the verifiable phenomenal world.

The Thing-in-Itself

By Thomas Scarborough

Benjamin Lee Whorf, the American linguist, made a puzzling observation which, for no patent reason, has held our fascination for nearly eighty years. Whorf wrote it briefly, in simple language:

'Around a storage of what are called 'gasoline (petrol) drums', behavior will tend to a certain type, that is, great care will be exercised; while around a storage of what are called 'empty gasoline drums' it will tend to be different-careless, with little repression of smoking or of tossing cigarette stubs about. Yet the 'empty' drums are perhaps the more dangerous, since they contain explosive vapor.'

Whorf, I here suggest, had stumbled upon the core problem of the thing-in-itself, and with that, the core problem of the thinking of our entire Western civilisation. The interpretation of the thing-in-itself is not critical here.  It is sufficient to understand it most simply as any 'object of inquiry'. Let us begin at the beginning.

First, the Scottish philosopher David Hume observed that all knowledge may be subdivided into relations of ideas on the one hand, and matters of fact on the other. That is, one begins with a handful of facts (which includes objects), and these facts stand in a certain relation to one another.

This view has remained engraved on metaphysicians' minds ever since. Generations later, Bertrand Russell wrote that many philosophers, following Immanuel Kant, have maintained that relations are the work of the mind, and that things-in-themselves have no relations. While this is not to say exactly the same, the thought is not far from Hume's.

A marble is a thing. A house is a thing. Even gravity, ideology, taxonomy are things (we call them constructs), which may in turn be related to other things. In a sense, even a unicorn is a 'thing', although one is unlikely ever to find one. Of course, our 'things' may not be exactly the same as we perceive them – but the point will be clear.

Things-in-themselves are not, of course, facts. They first need to be involved in what we call truth conditions – which is, they need to be inserted into statements. Then one may affirm or deny such statements, which is an essential condition of facts. For example, we insert the thing 'marble' into a statement: 'A marble sinks' – or the thing 'unicorn': 'The Scots keep unicorns.'

On the surface of it, our world is filled with such facts: 'There's a car,' 'A bird has wings,' or 'The square of the hypotenuse is equal to the sum of the squares of the other two sides.'

But there is a mistake. There are no things, there are no objects, and therefore there are no facts. Hume got it wrong, and so did every philosopher since. One finds only relations. The mind is incapable of comprehending anything else. No mind can ever settle on a 'thing' alone.

Someone might object: 'But this is a coffee cup, and that's a fact!' But is it really? Take away the table on which the coffee cup rests, and what does one have? One has a coffee cup which rests on nothing.  If we ever found such a thing, we would marvel that it exists.  One would have scientists queuing up at the door to see it.  Further, the table, on which the coffee cup rests, stands on the floor, and this in turn rests on the earth, and so on.

The same is true if we down-scale our thinking as it were. Supposing that we should say, 'This coffee cup has a handle.' The same applies. We have to have a mind for a whole world of relations to be able to speak of a handle.

We never worried about this much – before the publication of Samuel Johnson's great dictionary of 1755.  But since then, our 'things' have been defined, and they have been defined (if implicitly) as things-in-themselves. But this they are not, as we have seen.

This now promises to explain Benjamin Whorf's puzzlement over the dangerous way in which people went about with empty petrol drums, and our continuing fascination with the same today. We have come to see petrol drums today as things-in-themselves, without the obvious relations in which they are involved.

One might wonder at the possible significance of it all. Quite simply, when we speak of the world today, our language causes us to view it as people viewed Whorf's petrol drums, namely, as a profusion of things-in-themselves.  Yet we deal with things far more dangerous than petrol drums.

The Thing-in-Itself

By Thomas Scarborough

Benjamin Lee Whorf, the American linguist, made a puzzling observation which, for no patent reason, has held our fascination for nearly eighty years. Whorf wrote it in simple language, and briefly:

'Around a storage of what are called 'gasoline (petrol) drums', behavior will tend to a certain type, that is, great care will be exercised; while around a storage of what are called 'empty gasoline drums' it will tend to be different-careless, with little repression of smoking or of tossing cigarette stubs about. Yet the 'empty' drums are perhaps the more dangerous, since they contain explosive vapor.'

Whorf, I here suggest, had stumbled upon the core problem of the thing-in-itself, and with that, the core problem of the thinking of our entire Western civilisation. The interpretation of the thing-in-itself is not critical here.  It is sufficient to understand it most simply as any 'object of inquiry'. Let us begin at the beginning.

First, the Scottish philosopher David Hume observed that all knowledge may be subdivided into relations of ideas on the one hand, and matters of fact on the other. That is, one begins with a handful of facts (which includes objects), and these facts stand in a certain relation to one another.

This view has remained engraved on metaphysicians' minds ever since. Generations later, Bertrand Russell wrote that many philosophers, following Immanuel Kant, have maintained that relations are the work of the mind, and that things-in-themselves have no relations. While this is not to say exactly the same, the thought is not far from Hume's.

A marble is a thing. A house is a thing. Even gravity, ideology, taxonomy are things (we call them constructs), which may in turn be related to other things. In a sense, even a unicorn is a 'thing', although one is unlikely ever to find one. Of course, our 'things' may not be exactly the same as we perceive them – but the point will be clear.

Things-in-themselves are not, of course, facts. They first need to be involved in what we call truth conditions – which is, they need to be inserted into statements. Then one may affirm or deny such statements, which is an essential condition of facts. For example, we insert the thing 'marble' into a statement: 'A marble sinks' – or the thing 'unicorn': 'The Scots keep unicorns.'

On the surface of it, our world is filled with such facts: 'There's a car,' 'A bird has wings,' or 'The square of the hypotenuse is equal to the sum of the squares of the other two sides.'

But there is a mistake. There are no things, there are no objects, and therefore there are no facts. Hume got it wrong, and so did every philosopher since. One finds only relations. The mind is incapable of comprehending anything else. No mind can ever settle on a 'thing' alone.

Someone might object: 'But this is a coffee cup, and that's a fact!' But is it really? Take away the table on which the coffee cup rests, and what does one have? One has a coffee cup which rests on nothing.  If we ever found such a thing, we would marvel that it exists.  One would have scientists queuing up at the door to see it.  Further, the table, on which the coffee cup rests, stands on the floor, and this in turn rests on the earth, and so on.

The same is true if we down-scale our thinking as it were. Supposing that we should say, 'This coffee cup has a handle.' The same applies. We have to have a mind for a whole world of relations to be able to speak of a handle.

We never worried about this much – before the publication of Samuel Johnson's great dictionary of 1755.  But since then, our 'things' have been defined, and they have been defined (if implicitly) as things-in-themselves. But this they are not, as we have seen.

This now promises to explain Benjamin Whorf's puzzlement over the dangerous way in which people went about with empty petrol drums, and our continuing fascination with the same today. We have come to see petrol drums today as things-in-themselves, without the obvious relations in which they are involved.

One might wonder at the possible significance of it all. Quite simply, when we speak of the world today, our language causes us to view it as people viewed Whorf's petrol drums, namely, as a profusion of things-in-themselves.  Yet we deal with things far more dangerous than petrol drums.