Thursday, January 26, 2012

The Bliss of Ignorance

There's an interesting paradox that emerges in any serious inquiry today: As we come to know more, knowledge of our ignorance also increases. Nowadays, we've come to realize that we know so little that, rather than even attempt some explanation, we have started to make things up: like dark matter (to explain gravitational rotation of galaxies that don't follow Newton's laws) and dark energy (to explain why, contrary to Einstein's theory of gravity, the universe's rate of expansion is accelerating and not decelerating). You might as well say that faeries are causing the universe's rate of expansion to accelerate.

I’m moving from the idea that, not only do we not know the final truth about things, but that we can’t know it. I’m not saying that it’s all pointless, or that we can’t improve our knowledge, but that we will never come face to face with the truth.

Nicholas of Cusa (1401-1464) was a German cardinal, philosopher, and church administrator. He came up with a mathematical analogy for this phenomenon. If truth is a perfect circle, our knowledge is a polygon. As the number of sides to the polygon increases, it more closely approximates the circle. But no polygon – no matter how many sides – actually coincides with the circle. Which led Nicholas to say, “Hence reason, which is not the truth, can never grasp the truth so exactly that it could not be grasped infinitely more accurately.”




(Nicholas had a lot of other cool ideas; like, as a circle gets bigger its curvature becomes less. A circle of infinite size is a straight line: And he was able to reason years before Copernicus that, because the universe had no boundaries, it had no fixed center, which ruled out the theory that the earth occupied that center. Instead, the earth was in motion. And since the earth was in motion, all our astronomical measurements were off at least slightly because they assumed a fixed observation point.)


Nicholas also recognized – and our legal system does the same – that something that is not the whole truth is not truth at all but is in some way false, just like a witness leaving out a critical detail that changes guilt into innocence. Because we do not comprehend the totality of the universe, we, in a sense, comprehend nothing.



Of course, these ideas are not new. Way back when, Socrates said, “I know nothing except the fact of my ignorance.” Friedrich Nietzsche made Nicholas’ conclusion explicit: “Parmenides said, ‘one cannot think of what is not’; we are at the other extreme, and say what can be thought of must certainly be a fiction.” Wallace Stevens adds, “The final belief is to believe in a fiction, which you know to be a fiction, there being nothing else. The exquisite truth is to know that it is a fiction and that you believe in it willingly.” This, for Stevens, however, is not an unhappy state: “It is the unknown that excites the ardor of scholars, who, in the known alone, would shrivel up with boredom.”



* * *



Rationalists, wearing square hats,
Think, in square rooms,
Looking at the floor,
Looking at the ceiling.
They confine themselves
To right-angled triangles.
If they tried rhomboids,
Cones, waving lines, ellipses --
As, for example, the ellipse of the half-moon --
Rationalists would wear sombreros.

Wallace Stevens


6 comments:

James R said...

This is really too big to comment upon, but what makes the post compelling is that you've exclusively used interesting historical examples. Abstractly talking about ontology and epistemology would defeat the whole message that we should wear sombreros.

A couple of specific observations:
Our time is not unique in "we have started to make things up." Every age has done that.

This also reminds me of, perhaps, the worst concept Christianity ever came up with: heaven.

Big Myk said...
This comment has been removed by the author.
Peter H of Lebo said...

To Jim, I think our time is pretty unique, the stuff we make up allows me to talk to you across the ocean near instantaneous speed. Dark matter and energy aren't made up, they are place holders. Germ theory was constructed before micro organisms were discover, invisible seeds as the placeholder, higgins bosons same thing, cystic fibrosis was classified as genetic disease prior to the discover the of the mutated gene. The scientific age makes up stuff that usually comes true...if only science had come up with Santa Claus.

As for the post, I don't understand the fascination with knowing "truth". Since you define truth as an unknownable entity, it seems like truth and god go hand in hand, which science cares about as much as asking what is north of north. This idea of truth is where philosophers like Flew used made-up stuff like fine tuning and intelligent design and try to pretend that it is science and should be taught as such. Leave the "truth" to the philosophers and priests, scientists will take artificial hearts, make life out of non-living materials and breast implants.

James R said...

To Pete, I'm not sure, but I'm guessing you are supporting my comment of

Our time in not unique in "we have started to make things up." Every age has done that.

You give some good examples such as 'terrible seeds' before they knew about micro organisms. I was thinking of some of the classic ones like phlogiston and ether. I like your term 'placeholder.' The best theories are placeholders based on all the evidence we know at the time.

As I stated earlier, I think this is too broad of a subject on which to comment meaningfully, but I gather the point of Myk's stories is basically: since we don't have the whole truth, we have a fiction (albeit the best one we can make out). The irony is that, in truth, we know it is a fiction. We believe the fiction which helps us to continue looking for the truth.

Secondly: the exciting part is the looking.

Big Myk said...

Pete, Jim summarizes my point exactly. To which, let me add, I am not defining truth as an unknowable entity or as any kind of abstraction. I'm using truth in its most ordinary sense: conformity with fact or reality, the opposite of falsehood.

I didn't intend to be critical of science at all. What we have achieved is remarkable. I was, instead, making the rather modest point that scientists shouldn't rest on their laurels and that there is a lot more to learn. Today, apparently both Newton and Einstein are up for grabs. My suspicion is that we will always have a lot more to learn.

While, I suppose it is at least theoretically possible that there is an end to it, I think that that is a dangerous position to take. In your own field, it was established doctrine that stomach ulcers were caused by stress and, for years, the prescribed treatment was to relax.

It wasn't until the 80's that researchers discovered that stress had nothing to do with ulcers, but they were caused by bacteria and easily treated with antibiotics. It took at least a decade for this idea to be accepted because of the long-standard teaching in medicine was that the stomach was sterile and nothing grew there, including bacteria, because of corrosive gastric juices.

All I'm saying is that in science or in any other field, we should recognize with a certain level of humility that our knowing is imperfect and that we should be open to being surprised.

Big Myk said...

Now that I think of it, perhaps British geneticist J.B.S. Haldane summarizes it best: "Now my own suspicion is that the Universe is not only queerer than we suppose, but queerer than we can suppose.