“Was not their mistake once more bred of the life of slavery that they had been living?—a life which was always looking upon everything, except mankind, animate and inanimate—‘nature,’ as people used to call it—as one thing, and mankind as another, it was natural to people thinking in this way, that they should try to make ‘nature’ their slave, since they thought ‘nature’ was something outside them” — William Morris


Thursday, June 9, 2011

Vagueness, Weakness, Infinite Loops, Fragility


As stated in a previous post, I hold that the ecological age is one of hypocrisy, weakness and lameness. I mean these in very precise and, you may be surprised to hear, positive senses. These are good things about our age.

Why? Because it means we are coming to terms with our status as one object among many.

I have an intuition that natural languages are inherently weak. Artificial languages such as logics that try to beef up the weakness become brittle. Why? Because they try to exclude contradictions.

I've investigated one kind of contradiction quite recently, the Sorites paradox. I think this paradox arises because of something to do with objects, not simply (our) interpretations of objects.

What is that something? Along comes Mark Changizi to explain how natural languages must be vague, because of another paradox of condradiction: Gödel's incompleteness theorem. Changizi calls it the halting problem (and its smaller cousin, the always-halting problem). This is because Alan Turing devised an ingenious way to prove Gödel using algorithms, and in so doing, opened up the field of artificial intelligence.

He also opened the way to seeing all objects as inherently fragile, as an early post on Gödel argues on this blog. For every object, there is some kind of silver bullet (at least) that will destroy it. That's what being an object means. Being an object means you can be destroyed. You are fragile. You don't want to be fragile? You can't be an object.

I think Changizi is dead on, because I think that languages are archaeological records of relationships between objects, objects that are inherently fragile.

1 comment:

Ruth Solomon said...

Not sure if I get this- but haltng problem seems to be to run something into a point of mis-match. I think we actually do that because it is fun rather than coming up against inconsistancies just in time. like the tree against the sheet in your previous post- this incongruity is fun. A tree divorced from the atmosphere in which its life so evidently hangs- literally than uprooted- hanging in the balance. Or a shopping trolley sinking into silt at the side of a river. It is misplaced and it's regular use clearly held in check. This I think is a condition of thought and life as much about working out conditional use by running it into the ground. I think we refine our orientation in relation to wider circumstances through these low level displacements or itchings.