This is just a philosophical discussion - nothing new, really. I ended up in a fairly weird conversation the other day with a friend of mine. We were discussing some random stuff and he pulled the good old
does-a-tree-falling-in-a-forest-make-a-sound-if-no-one's-there-to-hear-it example and I ended up countering it with something that just occurred to me then and there:
do numbers and enumeration (something that we know as mathematical counting) exist without intelligent life?
I've been pondering over it for a few days now and this actually seems like a fairly interesting question. To me, if I have to decide on an answer to the tree conundrum, then my standpoint would be a definite "no" as the (not strictly physical)
definition of sound* literally excludes the possibility of replying yes to this. However - thinking of numbers and enumeration (the latter of which is actually a form of addition), I can't quite pinpoint an answer that would make absolute sense: for instance, let's take the Universe some 100 million years after the Big Bang (not its "creation" - just to be on the same page). Gas is cooling down, lumps of matter are forming, no life exists yet.
There's a bunch of rocks flying around that crash in a forming planet. Does it make a difference how many of them actually hit the planet? Because if it doesn't, then the concept of determining their number, in many ways, becomes irrelevant. It might become relevant in the future, however, when "someone counts them". On the other hand - the impacts are distinct and each of them has a specific effect on the target, making the number of impacts (and therefore the number of objects) relevant. Or does it? :D
Another thing that occurred to me was the
(operational) definition of time:
Quote:
The operational definition leaves aside the question whether there is something called time, apart from the counting activity just mentioned, that flows and that can be measured.
Even though the traditionally held belief in physics is that the smallest temporal "unit of time" is the
Planck time, time is fundamentally both perceived and thought of as something that "flows" (eg is continous). If time is subject to such lack of inherent quantization and it is something that we, an appreantly intelligent form of life, have come up with (temporal quantization that allows us to measure time in a discrete numeric form), then it is not entirely impossible that it is also our doing that spatial enumeration (I'm not talking about Planck length, but literal counting of objects) is nothing more than discretization by us for our own sake.
I'm not too familiar with the latest developments of String theory, but on such a fundamental level the discretization actually seems to break down as one can consider everyhing as consisting of a discrete number of strings (for the sake of discretization, let's call them fundamental particles) or, well, none - assuming the fabric of space itself, regardless of locality, is a host for strings - which String theory maintains to be the case (strings being the driving force behind the existence of the fabric of space itself; eg space could literally not exist without the existence of strings
everywhere). In other words - as a crude generalization: if it weren't for the fact that a snowball made of snow hurts you and a "fictional" snowball made of air does not, the the concept of counting snowballs would actually become moot. Or... would it?
What's your take on this? Mind you that this is still a philosophical discussion - physics is just a tool to sway the argument one way or the other.
* The defintion of sound, which defines a listener as a prerequisite for the existence of sound:
Quote:
Sound is a travelling wave which is an oscillation of pressure transmitted through a solid, liquid, or gas, composed of frequencies within the range of hearing and of a level sufficiently strong to be heard, or the sensation stimulated in organs of hearing by such vibrations.
PS - thanks to a mod for deleting the other one - GD was acting up :)
edit: typos
[Edited by - irreversible on April 27, 2010 4:17:22 AM]