Fundamental characteristics are supposed to explain the most others. If they are themselves explained by properties, then they explain less than the properties. Do you really think Ayn Rand meant THAT?
“Explanation” can be an ambiguous word, it either means “cause of” or “knowledge of” depending on its use. The importance of making the distinction is that we do not always know the ultimate causes.
Given a concept defined in terms of a fundamental characteristic, if we then learn that the fundamental characteristic is completely explained by an internal property then we have a basis to shift the definition to the more fundamental property. A concrete example of this would be in biology when all of the concepts of the various species were based on similarities of the bodily form until genetics, evolution, and the discovery of DNA resulted in a new understanding of what is truly fundamental in biology, resulting in new classifications of some species. The causal relation between genetics and body form has always been true, but what was considered fundamental changed when the context of scientific knowledge expanded. The scientific revolution in biology is both an example of concepts being open-ended in that new attributes were discovered for the same concepts, and an example of definitions being contextual when the new attribute was found to be fundamental. The conclusion is that a fundamental characteristic can indeed have an unknown cause (“explanation”) in terms of more fundamental properties.
Sometimes even a known causal explanation can fail to justify changing the fundamental characteristic. Anything that happens in every living organism has a chemical explanation, but that level of analysis is not appropriate for understanding discrete living entities as whole organisms interacting with each other.
A structure is a configuration of constituents, not the quantitative relationships among those constituents.
The distinction you attempt here is not meaningful. A “configuration of constituents” can only exist in the form of quantitative relationships. To be is to be something particular. Existence is identity.
That’s arrested knowledge. What if someone discovered that mass changed depending on certain conditions?
We used to think mass was independent of velocity. Now we have invariant mass vs relativistic mass.
This is no exception. We only know about relativistic mass because of the exact same kinds of effects on trajectories, forces, extended half-lives of decaying particles, etc. A variable mass is not an intrinsic quality of a particle but a relationship between two frames of reference.
Wikipedia quotes a physics textbook on relativistic mass:
Modern view
The invariant mass is the ratio of four-momentum to four-velocity:
pμ = m0vμ
and is also the ratio of four-acceleration to four-force when the rest mass is constant. The four-dimensional form of Newton’s second law is:
Fμ = m0Aμ.
Many contemporary authors such as Taylor and Wheeler avoid using the concept of relativistic mass altogether:
“The concept of “relativistic mass” is subject to misunderstanding. That’s why we don’t use it. First, it applies the name mass - belonging to the magnitude of a 4-vector - to a very different concept, the time component of a 4-vector. Second, it makes increase of energy of an object with velocity or momentum appear to be connected with some change in internal structure of the object. In reality, the increase of energy with velocity originates not in the object but in the geometric properties of spacetime itself.”[17]
E. F. Taylor, J. A. Wheeler (1992), Spacetime Physics, second edition, New York: W.H. Freeman and Company, ISBN 0-7167-2327-1
I’m claiming that “intrinsic attribute” vs “dynamical/relational attribute” is an arbitrary distinction that leads to conclusions that are incompatible with Objectivism.
But I do feel that “intrinsic vs dynamical/relational” sounds a lot like the distinction of “intrinsic vs dispositional”. I think it’s worth mentioning that the latter was exploded on pg. 282-287 of ITOE.
I agree that when I wrote about relational and intrinsic attributes that was inaccurate and misleading because those are not two kinds of attributes. The relation between an entity and its actions is not the same as that of an entity to its attributes. I made the mistake that Ayn Rand avoided by using the expression “properties and characteristics”. Nevertheless, there are such things as attributes and actions and that is the distinction being made.
“Dispositional” relates to the Doctrine of internal relations (also see http://plato.stanford.edu/entries/logical-atomism/#2.1 and www.britannica.com The doctrine of internal relations and the coherence theory of truth. This is the theory that relations are attributes and it is rightly rejected.
There is evidence for one half of my interpretation in that same section:
Prof. F: But now, properties are all constitutive properties, right?
AR: Yes.
Constitutive and intrinsic both describe the same relation between entity and attribute. The actions of an entity are not constitutive, what something does is not the same as what it is. Although the two must be causally related, actions are almost always interactions between two entities and so are jointly determined by (at least) two entities that act.