Huh?0 can't represent 'nothing' in all cases (not talking about philosophy.) It's afterall only an abstraction
Um, the "1" represents the quantity (non-physical) of dogs. The word "dog" represents the physical dog.Sure, yet 1 can represent something physical e.g. 1 dog and 0 can represent no dogs but what does x/0 represent where x is a variable or 0/0?
There are many mathematical terms that can't be used with something physical, why should this be anything special?Agreed, yet they can consistently be used with the nouns that represent something physical. How can x/0 or 0/0 be used consistently with a noun to represent something physical?
There are many mathematical terms that can't be used with something physical, why should this be anything special?
Can I ask for 2i+3 gallons of petrol?
How about 0/1 lb of beef?
I still don't quite the "problem".
Unless it's just that you have some desire for it to "make sense" in a "real" fashion.
Shit happens.
If infinity is the biggest "possible number" you can have how is it possible (or even conceivable) to have something larger than infinity?
Yet we do and it's a solid part of mathematics...