Discussion in 'Physics & Math' started by Quantum Quack, May 27, 2017.
Can be described if you can describe the existence of 1/infinity in physical world.
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Exactly, this is Physics here, rather forced physics and mandated due to Einstein's nonacceptance of gravity as force.
What does 1/infinity even mean ?
what do you think 1 divided by infinity means?
(I am too lazy to use tex)
You proposed a sphere of radius 1/infinity...
but if the diameter is 1/infinity as I proposed and 1/infinity is the limit then what would be the radius?
Undefined or makes no sense.
so the contents or volume of the sphere is nonsense or ... dare I suggest non-existent.
The reason I brought this extension up is that we were discussing mathematical abstractions colliding with physical realities. Here we have both I think....
With this sphere of infinitesimal diameter you have a mathematical abstraction that could be deemed a physical reality. ( sort of)
Does the sphere exist ? To you QQ ?
why do you ask?
Because of the suggestion of non-existence in your post # 48
any way I think it describes a point particle
So the sphere is a point particle ?
See the answer with (currently) 18 +ve votes here: https://math.stackexchange.com/questions/1372459/one-divided-by-infinity-is-not-zero
Common sense has to be applied sometimes, rather than rigid formalities.
not quite... the volume of the sphere maybe but not the sphere itself..Important distinction perhaps.
I would have intuitively considered 1/infinity as being an infinitesimal. Certainly not zero. I presumed that this was common knowledge... My mistake... sorry
Discuss the difference
Maybe you missed what i was hinting at QQ. Nitpickery over the formal distinctions may excite pure mathematicians, but leaves me shaking head. Which is why I like physics - definitions have to mean something useful and testable in the real world.
Then why bother with this 1/infinity in the first place ?
Separate names with a comma.