(August 9, 2013 at 12:35 am)whateverist Wrote: What really is zero then?
Exactly!
I'd agree with all that's been posted so far, but having had a look round the weird wide web it does seem that no one really knows what zero is precisely. The general consensus seems to be that it is not 'nothing' per se.
Here's an extract from 'what is' that does sum up some of the main mathematical points neatly;
1. In a positional number system, a place indicator meaning "no units of this multiple." For example, in the decimal number 1,041, there is one unit in the thousands position, no units in the hundreds position, four units in the tens position, and one unit in the 1-9 position.
2. An independent value midway between +1 and -1.
In writing outside of mathematics, depending on the context, various denotative or connotative meanings for zero include "total failure," "absence," "nil," and "absolutely nothing." ("Nothing" is an even more abstract concept than "zero" and their meanings sometimes intersect.)
(Full entry here - Zero)
Some interesting POVs from the sci-fi forum (apologies, it needs picking through)
(sci-fi forum - the philosophy of zero)
I didn't really want to get into philosophy here so any mathematical weirdness about zero would be interesting to me. (Maybe there's a need to open this up in the philosophy forum?)
MM
"The greatest deception men suffer is from their own opinions" - Leonardo da Vinci
"I think I use the term “radical” rather loosely, just for emphasis. If you describe yourself as “atheist,” some people will say, “Don’t you mean ‘agnostic’?” I have to reply that I really do mean atheist, I really do not believe that there is a god; in fact, I am convinced that there is not a god (a subtle difference). I see not a shred of evidence to suggest that there is one ... etc., etc. It’s easier to say that I am a radical atheist, just to signal that I really mean it, have thought about it a great deal, and that it’s an opinion I hold seriously." - Douglas Adams (and I echo the sentiment)
"I think I use the term “radical” rather loosely, just for emphasis. If you describe yourself as “atheist,” some people will say, “Don’t you mean ‘agnostic’?” I have to reply that I really do mean atheist, I really do not believe that there is a god; in fact, I am convinced that there is not a god (a subtle difference). I see not a shred of evidence to suggest that there is one ... etc., etc. It’s easier to say that I am a radical atheist, just to signal that I really mean it, have thought about it a great deal, and that it’s an opinion I hold seriously." - Douglas Adams (and I echo the sentiment)
