Topological Ontology and Logic of Qualitative quantity

hierarchies to represent their mutual independence. At the same time, their tight
relationship must be modeled appropriately.”
And Mizoguchi goes:
“Now, what is quantity Philosophically speaking, quantity is generically-dependent entity
in the sense that while it is not specifically-dependent on any physical entity, it cannot exist
if all physical objects disappear from the world. Practically, it is what is denoted by its
measurement. We never know the true quantity of anything because measurement is
always incomplete. What is correct is that there are two kinds of quantity: true quantity and
its measurement in which the latter is an approximation of the former. True quantity is
unit-independent. A length quantity is independent of how long 1m is. We will come back
to this issue later.”
Fig. 8 Quantity (from http://www.ei.sanken.osaka-u.ac.jp/hozo/onto_library/YAMATO101216.pdf)
The notion of qualitative quantity (and quantitative quantity) is ecplicite in Mizoguchi’s
hierarchy of quantity (“3.3.2 is-a hierarchy of quantity”), where “Quantity has its
own hierarchical structure as shown in Fig. 8. Major features of this quality value hierarchy
include separation of categorical and quantity, and introduction of qualitative values. By
categorical, I mean genuine categorical quality value such as viviparous/oviparous, colors
such as red, blue, green, etc. Note here that categorical value and qualitative (quantized)
value (qualitative quantity) are intrinsically different. While categories have typicality,
13