Summary April 4, 2019

BOXES

One fanciful vision of the (flat) Earth was that it was supported on the back of a turtle, which was, in turn, standing on another turtle and so on: Turtles all the way down.

Similarly, I find it useful to think of "boxes within boxes all the way down." Box 1 is the world we experience "in our head," which includes all experience and everything we know. In particular, it includes what we have been taught and what we have been taught to assume, which is, to a certain extent, "programmed". Box 1 is the "matrix" of individually shared reality. But, unlike the Matrix of Science Fiction fame, our matrix depends deeply on the "real world" outside and our senses within, as eloquently explained by Antonio Damasio.

Our evolutionary survival strategy involves survival as a member of a group, or "super person". Not only do we not "think for ourselves," we can't.

We experience ourselves as objects in the world (that's me) and assume that the world exists without us. It has been here long before we were born, will still be here long after and exposes only a tiny amount of itself to our investigation. This is "Box 2". Box 2 is contained in Box 1. Thinking in "box 2" terms, we recognize that other people exist and that they have an internal world - their "Box 1" which is, to us, Box 3. Of course, there are billions of Box 3's, including Box 3's that belonged to people long dead. We are in "Box 3" when we say things like "I know what he's thinking". Language uniquely provides access to Box 3, when we ask things like "What do you see" and expect an answer that makes sense. It can get pretty crazy. It makes sense to ask if Galileo correctly understood the discoveries and system of Kepler (he didn't). In a similar vein, we can ask of the Church threatened Galileo because of his beliefs or because he was, according to what was known at the time, wrong. All this depends on an acceptance of the fact that each of us lives in our personal "Box 1". This is an unavoidable consequence of our nature. It follows that persecuting an individual for his beliefs is misguided since nobody really "thinks for themselves."

When we are speaking of experience or "external reality," we need to be aware of which "box" we are speaking from. For example, statements about objective reality belong in Box 2 and should not contain "mind-like" concepts like the "laws" of physics. Laws of physics belong in Box 1. They are statements about our experience of the world.

I allow for "Box 0", which is the hypothetical and unobservable world - beyond the reach of our cleverest instruments, observation or reasoning. Like Box 1, Box 0 is relative. We are always biting chunks off Box 0, but we must admit that there are things we will never know about the Universe. At the very least, we must, as individuals, recognize that almost all of Box 0 is beyond what we will ever understand. I assume that "Box 0" exists even if there are no observers anywhere - the situation we assume at the time of the Big Bang and millions of years after that.

I regard all of mathematics as being in "Box 1" as something "mind like." This stands against the common intuition of physicists that the Universe is somehow fundamentally "mathematical" and that we are "discovering" mathematical laws that exist apart from our minds. This assumption is certainly worth challenging, but it's good to make it explicit. Similarly, any statement that includes an "observer" or an "apparatus" is a statement in Box 1, not Box 0.  As far as I know, such "mind like" concepts can be removed from relativity and quantum mechanics without losing anything but hooks for idle philosophers to make their speculations sound "scientific."

"Theory of Boxes" takes a dim view of theories that attempt to explain either of these questions:
I am greatly aided in this skepticism by knowing that not all perfectly sensible questions have answers.  While it has not been proven that either of the above questions is formally undecidable, I think it's reasonable to think of them in this way until some future genius settles the matter. For now, at least, I proceed on the assumption that we have something called "experience" and that it is an experience of something other than ourselves. Not much of a stretch I think.

THE INTERFACE

In effect, what we call "mind" is an interface between the "real world" and "Box 1". You could say it's responsible for creating the whole stack of boxes. It is worth asking how it does this, which boils down to curiosity about neuroscience - the brain. More subtly, it involves asking about the nature of the universe we inhabit and what it takes to survive in it.

In this area of concern, we also consider how the interface is "programmed" by language and other cultural factors. Analogy plays a key role here, as outlined in "Surfaces and Essences". A key concept in that books is "isomorphism" - the idea that some analogies are better than others. In fact, the best ones allow us to learn about one system from the properties of another. For example, we assume that objects in the universe behave as if they "obey" laws of gravity (mind-like ideas). Thus, we can predict how objects will behave (say the date of an eclipse) by working out the math in the model. On a broader scale, we can ask which of our ideas genuinely underpin reality itself, the subject of "A Beautiful Question".

Evolution has gifted humans with an obsession with "figuring out what's really going on". Many of our guesses are wide of the mark and wind up as "mythology". Some are impressively robust and useful - they are called "Science". So far, we can't be sure how closely our ideas mirror the "real world", but we can help ourselves by keeping in mind the difference between our ideas (mind-like) and the actual reality we attempt to approach.


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