He suggests three "objective" reasons for this lag: first, metaphysics' greater reliance upon arbitrary signs (signs that do not essentially coincide with what is signified); second, the holistic content of metaphysics (no quality can be defined without an adequate insight into the others); and third, metaphysics' need to establish the actual existence of what corresponds to the analyzed concepts.
Possibility theory does so only indirectly, although possibility measures on a field of propositions A can also be defined without recourse to a possibility distribution on the underlying set W of possibilities.
Some metric spaces admit the action of groups that preserve distance, others do not, but distance can be defined without talking about a group.
The product AB may be defined without BA being defined, namely if A and B are m-by-n and n-by-k matrices, respectively, and m ≠ k.
Meinong (1894; 1895) thought that there are no absolute, impersonal values, and values cannot thus be defined without the concept of a subject being able to have value-feelings.
Thus, in our view, the only fundamental unit of evolution, both in prokaryotes and in eukaryotes, that can be defined without internal contradictions is a FUE although long stages of evolution of major groups of organisms certainly exist for which the concept of a species tree - and species as such - makes sense.
Intrinsically systemic properties are those that cannot be defined without reference to the system as a whole as an ontological unit beyond the components that comprise it.
Often these strategies (or their existence) turn out to be equivalent to something of logical importance that could have been defined without using games for example a proof.
UICC/AJCC stage groupings were defined without empirical investigation.
