Do You Feel Lucky?

(and feel free to comment! My older posts are certainly no less relevant to the burning concerns of the day.)

Thursday, December 30, 2010

Thought of This Morning

The infinite is a subset of the possible.

5 comments:

limom said...

Not to interrupt your thoughts or anything, but seems to me like that should be the other way around.
Maybe.

Pearl said...

I would've thought it was the other way around...

Now my head hurts.

Pearl

dogimo said...

Hm. Well let me work this one through.

I'd say that all things are possible.

Possibility itself may therefore be said to be infinite.

But within what is possible - only certain things are infinite.

No?

dogimo said...

re: "all things possible" - I know it's a cliche! I know it's a cliche, but I believe it: it is a matter of conditions obtaining (for things that are immediately possible, in the sense of being practical), and conditions given (for things that are hypothetically possible given those conditions).

A example, I guess. Okay! Let's say that given sufficient force, the entire universe can be moved an infinite number of feet to the left. Even there, though, the force that is actually available will prove to be something of a practical limitation.

Now, there is such a thing as a logical impossibility - but this is not a case of any one thing being impossible. It's a case of A cannot be true if B is true. Neither A nor B is itself impossible! But B's truth becomes a practical limitating condition on the A.

Mel said...

http://img406.imageshack.us/i/image0660y.jpg/