 Solution

Change is compatible with natural kinds, provided there is a defensible basis for tracking membership and explaining the changing properties. Requiring every property to remain unchanged would exclude nearly all physical objects. The important distinction is between variation within a kind, a transition out of it, and changes in the population that constitutes it.

Chemical elements offer a relatively sharp case. A carbon atomic nucleus has atomic number six, meaning six protons. Its isotope depends also on its neutron number; the ionization state of a carbon chemical atom can change without changing its chemical element. Temperature, position and velocity can also change. Classifying these objects together is useful because the relevant common constitution supports further inference, not because their entire property lists are identical at every moment.

A nuclear reaction that changes the proton number is different: it can produce a nucleus of another chemical element. This does not refute the original classification. It identifies a process under which membership changes. A theory of natural kinds should permit transformations between kinds rather than require its members to exist forever. The ordinary criterion also has a domain: an arbitrary mixture containing carbon is not itself a single carbon chemical atom.

Water makes a complementary point. A sample can undergo melting or boiling, changing density, rigidity and transport properties while retaining its ordinary chemical identification. The claim must be qualified: a bulk sample contains interacting molecules, and its detailed composition can include dissociation products. It need not consist at every instant exclusively of isolated identical water molecules. Nevertheless, changes of thermodynamic phase are explained through the constitution and organization of the material, rather than by treating every different appearance as a new unrelated substance.

These examples might suggest that some fixed microscopic essence is always required. Species put pressure on that inference. Individuals develop and differ; the distribution of inherited traits can change across generations through natural selection, genetic drift and gene flow. A demand that every member share an unchanging diagnostic appearance would misrepresent this history. It would also make a change in the frequency of one trait automatically create a new species, which is not how the relevant evolutionary processes work.

Homeostatic property cluster theory provides one alternative. Traits can tend to occur together because common development, shared ancestry and interactions within a population sustain their association. The traits need not be universal, and the maintaining processes need not freeze their frequencies. A population can change while retaining enough historical and causal continuity to support useful inference.^[ref] This is not a claim that every species concept gives the same boundaries. Reproductive relations, descent and ecological processes can motivate different criteria for different investigations.

An objection remains: if both members and their traits change, what prevents a natural kind from becoming a mere convenient label? The answer cannot be resemblance alone or an arbitrary chain of small changes. The proposed grouping must track processes that support reliable explanations and suitably qualified predictions. If the processes maintaining a cluster break down, or a lineage divides into independently evolving populations, continuing to use one label may cease to serve the relevant inquiry. Membership can be uncertain near such transitions without making every central case arbitrary.

There is also no requirement that all natural kinds have the same basis of unity. The atomic number criterion and a historically sustained population answer different scientific questions. Imposing the former structure on every biological grouping would mistake one successful form of classification for a universal metaphysical rule.

Changing properties therefore do not by themselves defeat naturalness. The scientific work lies in identifying which variations a kind tolerates, which transformations end membership, and why its remaining unity supports inference. A classification earns its status through that explanatory achievement, not through the fiction that nature is motionless.