Magnitude,volume,its all the same otherwise it would descend into
being pedantic for no good reason.
> Temperatures can be small without geometry and volume.
Fair enough.Temperature assumes a quality of a source whether
gas,liquid or solid and somehow 'small' in relation to temperature
just doesn't sound right,it will get you out of a jam if that is what
you wish but the exercise is to differentiate between smallness and
nothing at all and there is no such lower limit to geometry.
> A fraction can be small.
C'mon now,the obvious question is a fraction of what ?,but this would
amount to the beginning of a chase I just wouldn't be interested
in.The idea of setting lower and upper limits to time and space is the
central issue and those people who really wish to achieve productive
things pay attention to the absurdities of setting limits and then
move on to productive things,the idea of infinite density/zero volume
bears the same relationship to its obverse format and that is why 20
years ago I called the attempt to torture people with a conceptual no-
no of a sinvulgarity as it is an elaborate way to describe 'nothing'.
> An interest rate can be small.
>
Enough !.
> And if you believe that you cannot separate geometry and volume from
> any other physical properties (that is, for every conceivable physical
> property, you cannot imagine it without geometry and volume also being
> included in the mix), then I'm afraid your mind is pretty well
> confined to a narrow-gauge railway.
>
Well,the idea of temperature as a non-geometric property can only get
you so far as it ultimately requires a source and that source will
have geometric properties.The empirical community by and large seem to
have accepted the inability to set a lower geometric limit using
diameter,Pi and the ensuing radius and that is as far as I wish to go
with this issue,mainly because I do not need to.